Yamaguchi, Yoshikazu Dynamical zeta functions for geodesic flows and the higher-dimensional Reidemeister torsion for Fuchsian groups. (English) Zbl 07502525 J. Reine Angew. Math. 784, 155-176 (2022). MSC: 37D40 11M36 30F35 37C30 37F31 58J52 PDF BibTeX XML Cite \textit{Y. Yamaguchi}, J. Reine Angew. Math. 784, 155--176 (2022; Zbl 07502525) Full Text: DOI OpenURL
Shen, Shu Analytic torsion and dynamical flow: a survey on the Fried conjecture. (English) Zbl 1484.58010 Charollois, Pierre (ed.) et al., Arithmetic L-functions and differential geometric methods. Regulators IV, May 2016, Paris. Cham: Birkhäuser. Prog. Math. 338, 247-299 (2021). Reviewer: Luiz Hartmann (São Carlos) MSC: 58J20 58J52 11F72 11M36 37C30 37C10 PDF BibTeX XML Cite \textit{S. Shen}, Prog. Math. 338, 247--299 (2021; Zbl 1484.58010) Full Text: DOI OpenURL
Denti, Francesco; Cappozzo, Andrea; Greselin, Francesca A two-stage Bayesian semiparametric model for novelty detection with robust prior information. (English) Zbl 1475.62027 Stat. Comput. 31, No. 4, Paper No. 42, 19 p. (2021); correction ibid. 32, No. 1, Paper No. 18, 1 p. (2022). MSC: 62-08 62G05 62F15 PDF BibTeX XML Cite \textit{F. Denti} et al., Stat. Comput. 31, No. 4, Paper No. 42, 19 p. (2021; Zbl 1475.62027) Full Text: DOI arXiv OpenURL
Teo, Lee-Peng Resolvent trace formula and determinants of \(n\) Laplacians on orbifold Riemann surfaces. (English) Zbl 1477.30036 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 083, 40 p. (2021). MSC: 30F30 11F72 11M36 58J52 PDF BibTeX XML Cite \textit{L.-P. Teo}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 083, 40 p. (2021; Zbl 1477.30036) Full Text: DOI arXiv OpenURL
Yang, Shichun; Liao, Qunying The determinant of a class of irreducible polynomials over \(\mathbb{Z}[\zeta_m]\) related to lattice-based diagonal space-time block codes. (Chinese. English summary) Zbl 07403673 Chin. Ann. Math., Ser. A 42, No. 2, 149-158 (2021). MSC: 11C20 11M36 15A15 PDF BibTeX XML Cite \textit{S. Yang} and \textit{Q. Liao}, Chin. Ann. Math., Ser. A 42, No. 2, 149--158 (2021; Zbl 07403673) Full Text: DOI OpenURL
Kirsten, Klaus; Lee, Yoonweon The gluing formula, conformal scaling, and geometry. (English) Zbl 1475.58024 Ann. Global Anal. Geom. 59, No. 4, 537-547 (2021). Reviewer: Luiz Hartmann (São Carlos) MSC: 58J52 PDF BibTeX XML Cite \textit{K. Kirsten} and \textit{Y. Lee}, Ann. Global Anal. Geom. 59, No. 4, 537--547 (2021; Zbl 1475.58024) Full Text: DOI OpenURL
Friedman, Joshua S.; Jorgenson, Jay; Smajlović, Lejla Super-zeta functions and regularized determinants associated with cofinite Fuchsian groups with finite-dimensional unitary representations. (English) Zbl 1473.58018 Lett. Math. Phys. 111, No. 1, Paper No. 15, 28 p. (2021). Reviewer: Anton Deitmar (Tübingen) MSC: 58J52 11F72 PDF BibTeX XML Cite \textit{J. S. Friedman} et al., Lett. Math. Phys. 111, No. 1, Paper No. 15, 28 p. (2021; Zbl 1473.58018) Full Text: DOI arXiv OpenURL
Kirsten, Klaus; Lee, Yoonweon The BFK-gluing formula and the curvature tensors on a 2-dimensional compact hypersurface. (English) Zbl 1476.58034 J. Spectr. Theory 10, No. 3, 1007-1051 (2020). Reviewer: Luiz Hartmann (São Carlos) MSC: 58J52 58J35 58J20 14F40 PDF BibTeX XML Cite \textit{K. Kirsten} and \textit{Y. Lee}, J. Spectr. Theory 10, No. 3, 1007--1051 (2020; Zbl 1476.58034) Full Text: DOI arXiv OpenURL
Friedman, Joshua S.; Jorgenson, Jay; Smajlović, Lejla The determinant of the Lax-Phillips scattering operator. (Le déterminant de l’opérateur de diffusion Lax-Phillips.) (English. French summary) Zbl 1469.11342 Ann. Inst. Fourier 70, No. 3, 915-947 (2020). Reviewer: Roma Kačinskaitė (Kaunas) MSC: 11M36 PDF BibTeX XML Cite \textit{J. S. Friedman} et al., Ann. Inst. Fourier 70, No. 3, 915--947 (2020; Zbl 1469.11342) Full Text: DOI arXiv OpenURL
Rafael, F. S. Regularized determinant of the Laplacian on forms over spheres. (English) Zbl 1451.11099 São Paulo J. Math. Sci. 14, No. 2, 539-561 (2020). MSC: 11M36 58J52 PDF BibTeX XML Cite \textit{F. S. Rafael}, São Paulo J. Math. Sci. 14, No. 2, 539--561 (2020; Zbl 1451.11099) Full Text: DOI OpenURL
Finski, Siarhei Determinants of Laplacians on discretizations of flat surfaces and analytic torsion. (Déterminants de laplaciens sur les discrétisations de surfaces plates et torsion analytique.) (English. French summary) Zbl 1454.58029 C. R., Math., Acad. Sci. Paris 358, No. 6, 743-751 (2020). Reviewer: Marian Ioan Munteanu (Iaşi) MSC: 58J52 PDF BibTeX XML Cite \textit{S. Finski}, C. R., Math., Acad. Sci. Paris 358, No. 6, 743--751 (2020; Zbl 1454.58029) Full Text: DOI OpenURL
Spilioti, Polyxeni Functional equations of Selberg and Ruelle zeta functions for non-unitary twists. (English) Zbl 1450.58010 Ann. Global Anal. Geom. 58, No. 1, 35-77 (2020). Reviewer: Ion Mihai (Bucureşti) MSC: 58J28 53D25 53E10 11M36 PDF BibTeX XML Cite \textit{P. Spilioti}, Ann. Global Anal. Geom. 58, No. 1, 35--77 (2020; Zbl 1450.58010) Full Text: DOI arXiv OpenURL
Wong, Tian An Explicit formulas for the spectral side of the trace formula of \(\mathrm{SL}(2)\). (English) Zbl 1456.11167 Acta Arith. 195, No. 2, 149-175 (2020). MSC: 11M36 11M26 11F72 PDF BibTeX XML Cite \textit{T. A. Wong}, Acta Arith. 195, No. 2, 149--175 (2020; Zbl 1456.11167) Full Text: DOI arXiv OpenURL
Matz, Jasmin; Müller, Werner Approximation of \(L^2\)-analytic torsion for arithmetic quotients of the symmetric space \(\text{SL}(n,\mathbb{R}) / \text{SO}(n)\). (English) Zbl 1443.58020 J. Inst. Math. Jussieu 19, No. 2, 307-350 (2020). Reviewer: Dongwen Liu (Zhejiang) MSC: 58J52 11M36 PDF BibTeX XML Cite \textit{J. Matz} and \textit{W. Müller}, J. Inst. Math. Jussieu 19, No. 2, 307--350 (2020; Zbl 1443.58020) Full Text: DOI arXiv OpenURL
Hou, Yuhang; Kandel, Santosh Asymptotic analysis of determinant of discrete Laplacian. (English) Zbl 1437.58019 Lett. Math. Phys. 110, No. 2, 259-296 (2020). Reviewer: Léonard Todjihounde (Abomey-Calavi) MSC: 58J52 81T25 05C90 58J35 58J37 34B24 58J32 PDF BibTeX XML Cite \textit{Y. Hou} and \textit{S. Kandel}, Lett. Math. Phys. 110, No. 2, 259--296 (2020; Zbl 1437.58019) Full Text: DOI arXiv OpenURL
Teo, Lee-Peng Ruelle zeta function for cofinite hyperbolic Riemann surfaces with ramification points. (English) Zbl 1457.11070 Lett. Math. Phys. 110, No. 1, 61-82 (2020). MSC: 11F72 11M36 37C30 PDF BibTeX XML Cite \textit{L.-P. Teo}, Lett. Math. Phys. 110, No. 1, 61--82 (2020; Zbl 1457.11070) Full Text: DOI arXiv OpenURL
Fedosova, Ksenia; Rowlett, Julie; Zhang, Genkai Second variation of Selberg zeta functions and curvature asymptotics. (English) Zbl 1440.11171 Ann. Global Anal. Geom. 57, No. 1, 23-60 (2020). MSC: 11M36 11F72 30F60 30F30 PDF BibTeX XML Cite \textit{K. Fedosova} et al., Ann. Global Anal. Geom. 57, No. 1, 23--60 (2020; Zbl 1440.11171) Full Text: DOI arXiv OpenURL
Friedlander, Leonid On multiplicative properties of determinants. (English) Zbl 1457.58021 Kuchment, Peter (ed.) et al., Differential equations, mathematical physics, and applications. Selim Grigorievich Krein centennial. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 734, 123-128 (2019). MSC: 58J52 58J40 PDF BibTeX XML Cite \textit{L. Friedlander}, Contemp. Math. 734, 123--128 (2019; Zbl 1457.58021) Full Text: DOI arXiv OpenURL
Hartmann, L.; Spreafico, M. Zeta determinant of the Laplacian on the real projective spaces. (English) Zbl 1441.11233 Int. J. Number Theory 15, No. 2, 373-388 (2019). MSC: 11M41 58J52 PDF BibTeX XML Cite \textit{L. Hartmann} and \textit{M. Spreafico}, Int. J. Number Theory 15, No. 2, 373--388 (2019; Zbl 1441.11233) Full Text: DOI OpenURL
Fahrenwaldt, M. A. Complex powers of abstract pseudodifferential operators. (English) Zbl 1438.58002 Methods Funct. Anal. Topol. 24, No. 4, 305-338 (2018). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 58B34 58J42 PDF BibTeX XML Cite \textit{M. A. Fahrenwaldt}, Methods Funct. Anal. Topol. 24, No. 4, 305--338 (2018; Zbl 1438.58002) Full Text: Link OpenURL
Freitas, Pedro The spectral determinant of the isotropic quantum harmonic oscillator in arbitrary dimensions. (English) Zbl 1403.81013 Math. Ann. 372, No. 3-4, 1081-1101 (2018). MSC: 81Q05 81Q10 11M36 41A60 35P20 PDF BibTeX XML Cite \textit{P. Freitas}, Math. Ann. 372, No. 3--4, 1081--1101 (2018; Zbl 1403.81013) Full Text: DOI OpenURL
Gon, Yasuro Determinants of Laplacians on Hilbert modular surfaces. (English) Zbl 1440.11172 Publ. Mat., Barc. 62, No. 2, 615-639 (2018). MSC: 11M36 11F72 58J52 PDF BibTeX XML Cite \textit{Y. Gon}, Publ. Mat., Barc. 62, No. 2, 615--639 (2018; Zbl 1440.11172) Full Text: DOI arXiv Euclid OpenURL
Vertman, Boris Regularized limit of determinants for discrete tori. (English) Zbl 1394.58018 Monatsh. Math. 186, No. 3, 539-557 (2018). MSC: 58J52 35S05 34B24 58J32 PDF BibTeX XML Cite \textit{B. Vertman}, Monatsh. Math. 186, No. 3, 539--557 (2018; Zbl 1394.58018) Full Text: DOI arXiv OpenURL
Aldana, Clara L.; Rowlett, Julie A Polyakov formula for sectors. (English) Zbl 1404.58048 J. Geom. Anal. 28, No. 2, 1773-1839 (2018); correction ibid. 30, No. 3, 3371-3372 (2020). Reviewer: Luiz Hartmann (São Carlos) MSC: 58J52 58J50 58C40 35K08 58J35 PDF BibTeX XML Cite \textit{C. L. Aldana} and \textit{J. Rowlett}, J. Geom. Anal. 28, No. 2, 1773--1839 (2018; Zbl 1404.58048) Full Text: DOI arXiv OpenURL
Chen, Joe P.; Teplyaev, Alexander; Tsougkas, Konstantinos Regularized Laplacian determinants of self-similar fractals. (English) Zbl 1391.28006 Lett. Math. Phys. 108, No. 6, 1563-1579 (2018); correction ibid. 108, No. 6, 1581–1582 (2018). MSC: 28A80 05C30 58C40 58J52 81Q10 PDF BibTeX XML Cite \textit{J. P. Chen} et al., Lett. Math. Phys. 108, No. 6, 1563--1579 (2018; Zbl 1391.28006) Full Text: DOI arXiv OpenURL
Shen, Shu Analytic torsion, dynamical zeta functions, and the Fried conjecture. (English) Zbl 1378.58022 Anal. PDE 11, No. 1, 1-74 (2018). Reviewer: Yong Wang (Changchun) MSC: 58J20 58J52 11F72 11M36 37C30 PDF BibTeX XML Cite \textit{S. Shen}, Anal. PDE 11, No. 1, 1--74 (2018; Zbl 1378.58022) Full Text: DOI arXiv OpenURL
Müller, Werner On the analytic torsion of hyperbolic manifolds of finite volume. (English) Zbl 1376.58013 Bost, Jean-Benoît (ed.) et al., Geometry, analysis and probability. In Honor of Jean-Michel Bismut. Selected papers based on the presentations at the conference ‘Control, index, traces and determinants – the journey of a probabilist’, Orsay, France, May 27–31, 2013. Basel: Birkhäuser/Springer (ISBN 978-3-319-49636-8/hbk; 978-3-319-49638-2/ebook). Progress in Mathematics 310, 165-189 (2017). Reviewer: Roma Kačinskaitė (Šiauliai) MSC: 58J52 11M36 PDF BibTeX XML Cite \textit{W. Müller}, Prog. Math. 310, 165--189 (2017; Zbl 1376.58013) Full Text: DOI arXiv OpenURL
Hillairet, Luc; Kokotov, Alexey Isospectrality, comparison formulas for determinants of Laplacian and flat metrics with non-trivial holonomy. (English) Zbl 1380.30031 Proc. Am. Math. Soc. 145, No. 9, 3915-3928 (2017). Reviewer: Massimo Lanza de Cristoforis (Padova) MSC: 30F10 30F45 35J05 PDF BibTeX XML Cite \textit{L. Hillairet} and \textit{A. Kokotov}, Proc. Am. Math. Soc. 145, No. 9, 3915--3928 (2017; Zbl 1380.30031) Full Text: DOI OpenURL
Fucci, Guglielmo; Kirsten, Klaus Functional determinants and Casimir energy in higher dimensional spherically symmetric background potentials. (English) Zbl 1344.81136 J. Phys. A, Math. Theor. 49, No. 27, Article ID 275203, 16 p. (2016). MSC: 81T55 81R05 11M36 35J05 PDF BibTeX XML Cite \textit{G. Fucci} and \textit{K. Kirsten}, J. Phys. A, Math. Theor. 49, No. 27, Article ID 275203, 16 p. (2016; Zbl 1344.81136) Full Text: DOI arXiv OpenURL
Hillairet, Luc; Kalvin, Victor; Kokotov, Alexey Spectral determinants on Mandelstam diagrams. (English) Zbl 1348.58020 Commun. Math. Phys. 343, No. 2, 563-600 (2016). Reviewer: Magnus Goffeng (Göteborg) MSC: 58J52 30F30 32G15 PDF BibTeX XML Cite \textit{L. Hillairet} et al., Commun. Math. Phys. 343, No. 2, 563--600 (2016; Zbl 1348.58020) Full Text: DOI arXiv Link OpenURL
Kirsten, Klaus; Lee, Yoonweon The Burghelea-Friedlander-Kappeler-gluing formula for zeta-determinants on a warped product manifold and a product manifold. (English) Zbl 1334.58022 J. Math. Phys. 56, No. 12, 123501, 19 p. (2015); erratum ibid. 59, No. 1, 019902, 1 p. (2018). Reviewer: Jean Raimbault (Toulouse) MSC: 58J52 58J50 35C20 11M36 58J05 58J26 PDF BibTeX XML Cite \textit{K. Kirsten} and \textit{Y. Lee}, J. Math. Phys. 56, No. 12, 123501, 19 p. (2015; Zbl 1334.58022) Full Text: DOI OpenURL
Deitmar, Anton Ihara zeta functions of infinite weighted graphs. (English) Zbl 1323.05059 SIAM J. Discrete Math. 29, No. 4, 2100-2116 (2015). MSC: 05C22 05C63 05C38 11F72 11M36 PDF BibTeX XML Cite \textit{A. Deitmar}, SIAM J. Discrete Math. 29, No. 4, 2100--2116 (2015; Zbl 1323.05059) Full Text: DOI arXiv OpenURL
Pfaff, Jonathan Selberg zeta functions on odd-dimensional hyperbolic manifolds of finite volume. (English) Zbl 1323.58023 J. Reine Angew. Math. 703, 115-145 (2015). Reviewer: Emilio A. Lauret (Córdoba) MSC: 58J50 58J52 11M36 PDF BibTeX XML Cite \textit{J. Pfaff}, J. Reine Angew. Math. 703, 115--145 (2015; Zbl 1323.58023) Full Text: DOI arXiv OpenURL
Castillo-Garate, Victor; Friedman, Eduardo; Măntoiu, Marius The multiplicative anomaly of three or more commuting elliptic operators. (English) Zbl 1341.58018 Math. Res. Lett. 22, No. 3, 665-673 (2015). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 58J40 11M36 PDF BibTeX XML Cite \textit{V. Castillo-Garate} et al., Math. Res. Lett. 22, No. 3, 665--673 (2015; Zbl 1341.58018) Full Text: DOI arXiv OpenURL
Deitmar, Anton; Koyama, Shin-Ya; Kurokawa, Nobushige Counting and zeta functions over \({\mathbb F}_1\). (English) Zbl 1320.11057 Abh. Math. Semin. Univ. Hamb. 85, No. 1, 59-71 (2015). Reviewer: B. Z. Moroz (Bonn) MSC: 11G25 14G10 14G15 20G40 14A15 11M36 PDF BibTeX XML Cite \textit{A. Deitmar} et al., Abh. Math. Semin. Univ. Hamb. 85, No. 1, 59--71 (2015; Zbl 1320.11057) Full Text: DOI arXiv OpenURL
Lesch, Matthias; Vertman, Boris Regularizing infinite sums of zeta-determinants. (English) Zbl 1314.58020 Math. Ann. 361, No. 3-4, 835-862 (2015). MSC: 58J52 34B24 58J32 PDF BibTeX XML Cite \textit{M. Lesch} and \textit{B. Vertman}, Math. Ann. 361, No. 3--4, 835--862 (2015; Zbl 1314.58020) Full Text: DOI arXiv OpenURL
Avdispahić, Muharem; Gušić, Dženan Order of Selberg’s and Ruelle’s zeta functions for compact even-dimensional locally symmetric spaces. (English) Zbl 1308.58019 J. Math. Anal. Appl. 413, No. 1, 525-531 (2014). MSC: 58J52 11M36 PDF BibTeX XML Cite \textit{M. Avdispahić} and \textit{D. Gušić}, J. Math. Anal. Appl. 413, No. 1, 525--531 (2014; Zbl 1308.58019) Full Text: DOI OpenURL
Pfaff, Jonathan Analytic torsion versus Reidemeister torsion on hyperbolic 3-manifolds with cusps. (English) Zbl 1298.58021 Math. Z. 277, No. 3-4, 953-974 (2014). Reviewer: Jean Raimbault (Toulouse) MSC: 58J52 11M36 PDF BibTeX XML Cite \textit{J. Pfaff}, Math. Z. 277, No. 3--4, 953--974 (2014; Zbl 1298.58021) Full Text: DOI arXiv OpenURL
Maniccia, L.; Schrohe, E.; Seiler, J. Determinants of classical SG-pseudodifferential operators. (English) Zbl 1304.47064 Math. Nachr. 287, No. 7, 782-802 (2014). Reviewer: Luis Filipe Pinheiro de Castro (Aveiro) MSC: 47G30 47A10 47L15 58J40 58J42 PDF BibTeX XML Cite \textit{L. Maniccia} et al., Math. Nachr. 287, No. 7, 782--802 (2014; Zbl 1304.47064) Full Text: DOI arXiv OpenURL
Gil’, Michael Inequalities for regularized determinants of operators with the Nakano type modulars. (English) Zbl 1352.47020 Opusc. Math. 33, No. 2, 283-291 (2013). MSC: 47B10 47A55 PDF BibTeX XML Cite \textit{M. Gil'}, Opusc. Math. 33, No. 2, 283--291 (2013; Zbl 1352.47020) Full Text: DOI OpenURL
Lang, Serge [Jorgenson, Jay] Collected papers. Volume V: 1993–1999. With Jay Jorgenson. Reprint of the 2001 hardback ed. (English) Zbl 1272.01036 Springer Collected Works in Mathematics. New York, NY: Springer (ISBN 978-1-4614-6146-3/pbk). xvi, 426 p. (2013). MSC: 01A75 01-06 11-03 11M36 30B50 30D15 58J35 58J50 58J52 PDF BibTeX XML Cite \textit{S. Lang}, Collected papers. Volume V: 1993--1999. With Jay Jorgenson. Reprint of the 2001 hardback ed. New York, NY: Springer (2013; Zbl 1272.01036) OpenURL
Gil, Michael Perturbations of regularized determinants of operators in a Banach space. (English) Zbl 1287.47022 J. Math. 2013, Article ID 409604, 5 p. (2013). Reviewer: Yaogan Mensah (Lomé) MSC: 47B10 47A63 PDF BibTeX XML Cite \textit{M. Gil}, J. Math. 2013, Article ID 409604, 5 p. (2013; Zbl 1287.47022) Full Text: DOI OpenURL
Möller, M.; Pohl, A. D. Period functions for Hecke triangle groups, and the Selberg zeta function as a Fredholm determinant. (English) Zbl 1277.37048 Ergodic Theory Dyn. Syst. 33, No. 1, 247-283 (2013). Reviewer: Victor Sharapov (Volgograd) MSC: 37C30 37C85 11M36 PDF BibTeX XML Cite \textit{M. Möller} and \textit{A. D. Pohl}, Ergodic Theory Dyn. Syst. 33, No. 1, 247--283 (2013; Zbl 1277.37048) Full Text: DOI arXiv OpenURL
Kurokawa, Nobushige; Wakayama, Masato; Yamasaki, Yoshinori Milnor-Selberg zeta functions and zeta regularizations. (English) Zbl 1347.11065 J. Geom. Phys. 64, 120-145 (2013). MSC: 11M36 11F72 58J52 PDF BibTeX XML Cite \textit{N. Kurokawa} et al., J. Geom. Phys. 64, 120--145 (2013; Zbl 1347.11065) Full Text: DOI arXiv OpenURL
Lipponen, Henri On noncommutative BRST-complex and superconnection character forms. (English) Zbl 1271.58012 Annales Academiæ Scientiarum Fennicæ. Mathematica. Dissertationes 158. Helsinki: Suomalainen Tiedeakatemia; Helsinki: Univ. Helsinki, Dept. of Mathematics and Statistics (Diss.) (ISBN 978-951-41-1072-6/pbk; 978-951-41-1073-3/ebook). 121 p. (2013). Reviewer: Choonkil Park (Daejeon) MSC: 58J42 58-02 53C80 57R20 81R60 81T75 58J52 PDF BibTeX XML Cite \textit{H. Lipponen}, On noncommutative BRST-complex and superconnection character forms. Helsinki: Suomalainen Tiedeakatemia; Helsinki: Univ. Helsinki, Dept. of Mathematics and Statistics (Diss.) (2013; Zbl 1271.58012) Full Text: Link OpenURL
Fucci, Guglielmo; Kirsten, Klaus The spectral zeta function for Laplace operators on warped product manifolds of the type \(I \times _{f } N\). (English) Zbl 1272.58016 Commun. Math. Phys. 317, No. 3, 635-665 (2013). Reviewer: Hans-Bert Rademacher (Leipzig) MSC: 58J50 PDF BibTeX XML Cite \textit{G. Fucci} and \textit{K. Kirsten}, Commun. Math. Phys. 317, No. 3, 635--665 (2013; Zbl 1272.58016) Full Text: DOI arXiv OpenURL
Gursky, Matthew; Malchiodi, Andrea Non-uniqueness results for critical metrics of regularized determinants in four dimensions. (English) Zbl 1251.53059 Commun. Math. Phys. 315, No. 1, 1-37 (2012). MSC: 53Z05 58J52 81V17 53C20 PDF BibTeX XML Cite \textit{M. Gursky} and \textit{A. Malchiodi}, Commun. Math. Phys. 315, No. 1, 1--37 (2012; Zbl 1251.53059) Full Text: DOI arXiv OpenURL
Elizalde, Emilio Zeta function regularization in Casimir effect calculations and J. S. Dowker’s contribution. (English) Zbl 1247.81445 Int. J. Mod. Phys. A 27, No. 15, 1260005, 16 p. (2012). MSC: 81T55 81T16 37C30 PDF BibTeX XML Cite \textit{E. Elizalde}, Int. J. Mod. Phys. A 27, No. 15, 1260005, 16 p. (2012; Zbl 1247.81445) Full Text: DOI arXiv OpenURL
Müller, Werner The asymptotics of the Ray-Singer analytic torsion of hyperbolic 3-manifolds. (English) Zbl 1264.58026 Dai, Xianzhe (ed.) et al., Metric and differential geometry. The Jeff Cheeger anniversary volume. Selected papers based on the presentations at the international conference on metric and differential geometry, Tianjin and Beijing, China, May 11–15, 2009. Berlin: Springer (ISBN 978-3-0348-0256-7/pbk; 978-3-0348-0257-4/ebook). Progress in Mathematics 297, 317-352 (2012). Reviewer: Luiz Hartmann (São Carlos) MSC: 58J52 11M36 58J37 PDF BibTeX XML Cite \textit{W. Müller}, Prog. Math. 297, 317--352 (2012; Zbl 1264.58026) Full Text: DOI arXiv OpenURL
Rumin, Michel; Seshadri, Neil Analytic torsions on contact manifolds. (English. French summary) Zbl 1264.58027 Ann. Inst. Fourier 62, No. 2, 727-782 (2012). Reviewer: Luiz Hartmann (São Carlos) MSC: 58J52 32V05 32V20 11M36 37C30 PDF BibTeX XML Cite \textit{M. Rumin} and \textit{N. Seshadri}, Ann. Inst. Fourier 62, No. 2, 727--782 (2012; Zbl 1264.58027) Full Text: DOI arXiv OpenURL
Spreafico, M. Zeta determinant for double sequences of spectral type. (English) Zbl 1272.11104 Proc. Am. Math. Soc. 140, No. 6, 1881-1896 (2012). Reviewer: Michael Farber (Birmingham) MSC: 11M36 58J52 33E20 PDF BibTeX XML Cite \textit{M. Spreafico}, Proc. Am. Math. Soc. 140, No. 6, 1881--1896 (2012; Zbl 1272.11104) Full Text: DOI arXiv OpenURL
Malmendier, Andreas The signature of the Seiberg-Witten surface. (English) Zbl 1243.14035 Mrowka, Tomasz (ed.) et al., Perspectives in mathematics and physics: Essays dedicated to Isadore Singer’s 85th birthday. Somerville, MA: International Press (ISBN 978-1-57146-145-2/hbk). Surveys in Differential Geometry 15, 255-277 (2011). Reviewer: Sergiy Koshkin (Houston) MSC: 14J80 PDF BibTeX XML Cite \textit{A. Malmendier}, Surv. Differ. Geom. 15, 255--277 (2011; Zbl 1243.14035) Full Text: arXiv OpenURL
Choi, Junesang Determinants of the Laplacians on the \(n\)-dimensional unit sphere \(S^n\) \((n = 8, 9)\). (English) Zbl 1268.11122 Honam Math. J. 33, No. 3, 321-333 (2011). MSC: 11M35 11M36 11M06 58J52 33B15 PDF BibTeX XML Cite \textit{J. Choi}, Honam Math. J. 33, No. 3, 321--333 (2011; Zbl 1268.11122) Full Text: DOI OpenURL
Spreafico, Mauro Zeta determinant and operator determinants. (English) Zbl 1222.58028 Osaka J. Math. 48, No. 1, 41-50 (2011). Reviewer: Michael Farber (Zürich) MSC: 58J52 58J40 11M36 PDF BibTeX XML Cite \textit{M. Spreafico}, Osaka J. Math. 48, No. 1, 41--50 (2011; Zbl 1222.58028) Full Text: Euclid OpenURL
Deitmar, Anton Holomorphic torsion and closed geodesics. (English) Zbl 1330.58024 J. Fixed Point Theory Appl. 9, No. 1, 25-53 (2011). MSC: 58J52 11F72 11M36 22E45 PDF BibTeX XML Cite \textit{A. Deitmar}, J. Fixed Point Theory Appl. 9, No. 1, 25--53 (2011; Zbl 1330.58024) Full Text: DOI arXiv OpenURL
Kirsten, Klaus Basic zeta functions and some applications in physics. (English) Zbl 1234.11120 Kirsten, Klaus (ed.) et al., A window into zeta and modular physics. Cambridge: Cambridge University Press (ISBN 978-0-521-19930-8/hbk). Mathematical Sciences Research Institute Publications 57, 101-143 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11M41 11M36 11E45 11Z05 58J52 81T55 82B10 PDF BibTeX XML Cite \textit{K. Kirsten}, Math. Sci. Res. Inst. Publ. 57, 101--143 (2010; Zbl 1234.11120) Full Text: arXiv OpenURL
Spreafico, Mauro Zeta determinants on cones and products. (English) Zbl 1227.11098 J. Geom. 96, No. 1-2, 167-178 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11M36 PDF BibTeX XML Cite \textit{M. Spreafico}, J. Geom. 96, No. 1--2, 167--178 (2010; Zbl 1227.11098) Full Text: DOI OpenURL
Bauer, Wolfram; Furutani, Kenro Spectral zeta function of a sub-Laplacian on product sub-Riemannian manifolds and zeta-regularized determinant. (English) Zbl 1198.53032 J. Geom. Phys. 60, No. 9, 1209-1234 (2010). MSC: 53C17 58J50 PDF BibTeX XML Cite \textit{W. Bauer} and \textit{K. Furutani}, J. Geom. Phys. 60, No. 9, 1209--1234 (2010; Zbl 1198.53032) Full Text: DOI OpenURL
Chinta, Gautam; Jorgenson, Jay; Karlsson, Anders Zeta functions, heat kernels, and spectral asymptotics on degenerating families of discrete tori. (English) Zbl 1197.11114 Nagoya Math. J. 198, 121-172 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11M41 11M36 58J52 PDF BibTeX XML Cite \textit{G. Chinta} et al., Nagoya Math. J. 198, 121--172 (2010; Zbl 1197.11114) Full Text: DOI arXiv OpenURL
Park, Jinsung Spectral invariants and dynamical zeta functions for noncompact hyperbolic manifolds. (English) Zbl 1184.37018 Forum “Math-for-Industry”. Casimir force, Casimir operators and the Riemann hypothesis. Proceedings of the conference, Fukuoka, Japan, November 9–13, 2009. Fukuoka: Kyushu University, Faculty of Mathematics. COE Lecture Note 21, 56-58 (2009). MSC: 58J52 11M36 11M41 PDF BibTeX XML Cite \textit{J. Park}, COE Lect. Note 21, 56--58 (2009; Zbl 1184.37018) OpenURL
Guillarmou, Colin Generalized Krein formula, determinants, and Selberg zeta function in even dimension. (English) Zbl 1207.58023 Am. J. Math. 131, No. 5, 1359-1417 (2009). Reviewer: Jean-Marc Bouclet (Toulouse) MSC: 58J50 58J52 58J37 11M36 PDF BibTeX XML Cite \textit{C. Guillarmou}, Am. J. Math. 131, No. 5, 1359--1417 (2009; Zbl 1207.58023) Full Text: DOI Link Link OpenURL
Park, Jinsung Analytic torsion and Ruelle zeta functions for hyperbolic manifolds with cusps. (English) Zbl 1181.58023 J. Funct. Anal. 257, No. 6, 1713-1758 (2009). Reviewer: Michael Farber (Durham) MSC: 58J52 11M36 11F72 53C20 PDF BibTeX XML Cite \textit{J. Park}, J. Funct. Anal. 257, No. 6, 1713--1758 (2009; Zbl 1181.58023) Full Text: DOI OpenURL
Spreafico, M.; Zerbini, S. Finite temperature quantum field theory on noncompact domains and application to delta interactions. (English) Zbl 1171.81007 Rep. Math. Phys. 63, No. 2, 163-177 (2009). MSC: 81Q10 57N40 58J52 81U05 81U15 82B30 PDF BibTeX XML Cite \textit{M. Spreafico} and \textit{S. Zerbini}, Rep. Math. Phys. 63, No. 2, 163--177 (2009; Zbl 1171.81007) Full Text: DOI OpenURL
Pickrell, Doug Consistency of regularization for free scalar fields. (English) Zbl 1161.81399 Lett. Math. Phys. 87, No. 3, 283-291 (2009). MSC: 81T08 81T40 11M36 PDF BibTeX XML Cite \textit{D. Pickrell}, Lett. Math. Phys. 87, No. 3, 283--291 (2009; Zbl 1161.81399) Full Text: DOI arXiv OpenURL
Clair, Bryan Zeta functions of graphs with \(\mathbb Z\) actions. (English) Zbl 1220.05056 J. Comb. Theory, Ser. B 99, No. 1, 48-61 (2009). MSC: 05C25 11M36 11M41 PDF BibTeX XML Cite \textit{B. Clair}, J. Comb. Theory, Ser. B 99, No. 1, 48--61 (2009; Zbl 1220.05056) Full Text: DOI arXiv OpenURL
Gil’, M. I. Two-sided bounds and perturbation results for regularized determinants of infinite order compact operators. (English) Zbl 1151.47003 J. Math. Anal. Appl. 349, No. 2, 443-451 (2009). Reviewer: Mohammad Sal Moslehian (Mashhad) MSC: 47A05 47A55 PDF BibTeX XML Cite \textit{M. I. Gil'}, J. Math. Anal. Appl. 349, No. 2, 443--451 (2009; Zbl 1151.47003) Full Text: DOI OpenURL
Wotzke, Artur The Ruelle zeta function and the analytic torsion of hyperbolic manifolds. (Die Ruellesche Zetafunktion und die analytische Torsion hyperbolischer Mannigfaltigkeiten.) (German) Zbl 1280.58002 Bonner Mathematische Schriften 389. Bonn: Univ. Bonn, Mathematisches Institut; Bonn: Univ. Bonn, Mathematisch-Naturwissenschaftliche Fakultät (Diss.). 89 p. (2008). MSC: 58-02 58J52 11M36 PDF BibTeX XML Cite \textit{A. Wotzke}, Die Ruellesche Zetafunktion und die analytische Torsion hyperbolischer Mannigfaltigkeiten. Bonn: Univ. Bonn, Mathematisches Institut; Bonn: Univ. Bonn, Mathematisch-Naturwissenschaftliche Fakultät (Diss.) (2008; Zbl 1280.58002) Full Text: Link OpenURL
Gil’, M. I. Upper and lower bounds for regularized determinants. (English) Zbl 1162.47019 JIPAM, J. Inequal. Pure Appl. Math. 9, No. 1, Paper No. 2, 6 p. (2008). Reviewer: Daniel Pellegrino (João Pessoa) MSC: 47B10 PDF BibTeX XML Cite \textit{M. I. Gil'}, JIPAM, J. Inequal. Pure Appl. Math. 9, No. 1, Paper No. 2, 6 p. (2008; Zbl 1162.47019) Full Text: EuDML EMIS OpenURL
Asada, Akira Zeta regularized integral and Fourier expansion of functions on an infinite dimensional torus. (English) Zbl 1176.58002 Kowalski, Oldřich (ed.) et al., Differential geometry and its applications. Proceedings of the 10th international conference on differential geometry and its applications, DGA 2007, Olomouc, Czech Republic, August 27–31, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-279-060-6/hbk). 385-396 (2008). Reviewer: Vassil Angelov (Sofia) MSC: 58B25 42B99 58J52 PDF BibTeX XML Cite \textit{A. Asada}, in: Differential geometry and its applications. Proceedings of the 10th international conference on differential geometry and its applications, DGA 2007, Olomouc, Czech Republic, August 27--31, 2007. Hackensack, NJ: World Scientific. 385--396 (2008; Zbl 1176.58002) OpenURL
Wentworth, Richard A. Precise constants in bosonization formulas on Riemann surfaces. I. (English) Zbl 1158.58017 Commun. Math. Phys. 282, No. 2, 339-355 (2008). Reviewer: Chun-Gil Park (Daejeon) MSC: 58J52 32G13 PDF BibTeX XML Cite \textit{R. A. Wentworth}, Commun. Math. Phys. 282, No. 2, 339--355 (2008; Zbl 1158.58017) Full Text: DOI OpenURL
Kirsten, Klaus; Loya, Paul; Park, Jinsung Functional determinants for general self-adjoint extensions of Laplace-type operators resulting from the generalized cone. (English) Zbl 1142.58017 Manuscr. Math. 125, No. 1, 95-126 (2008). Reviewer: Chun-Gil Park (Daejeon) MSC: 58J28 58J52 PDF BibTeX XML Cite \textit{K. Kirsten} et al., Manuscr. Math. 125, No. 1, 95--126 (2008; Zbl 1142.58017) Full Text: DOI arXiv OpenURL
Mcintyre, Andrew; Teo, Lee-Peng Holomorphic factorization of determinants of Laplacians using quasi-Fuchsian uniformization. (English) Zbl 1154.30035 Lett. Math. Phys. 83, No. 1, 41-58 (2008). Reviewer: Samuel James Patterson (Göttingen) MSC: 30F60 30F10 30F30 PDF BibTeX XML Cite \textit{A. Mcintyre} and \textit{L.-P. Teo}, Lett. Math. Phys. 83, No. 1, 41--58 (2008; Zbl 1154.30035) Full Text: DOI arXiv OpenURL
Bauer, W.; Furutani, K. Zeta regularized determinant of the Laplacian for classes of spherical space forms. (English) Zbl 1139.58021 J. Geom. Phys. 58, No. 1, 64-88 (2008). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 11M35 11M36 PDF BibTeX XML Cite \textit{W. Bauer} and \textit{K. Furutani}, J. Geom. Phys. 58, No. 1, 64--88 (2008; Zbl 1139.58021) Full Text: DOI OpenURL
Jorgenson, Jay; Lang, Serge The heat kernel and theta inversion on \(\text{SL}_2(\mathbb C)\). (English) Zbl 1192.11056 Springer Monographs in Mathematics. New York, NY: Springer (ISBN 978-0-387-38031-5/hbk). x, 319 p. (2008). Reviewer: Fredrik Strömberg (Darmstadt) MSC: 11M36 58J52 11-02 58-02 58J35 PDF BibTeX XML Cite \textit{J. Jorgenson} and \textit{S. Lang}, The heat kernel and theta inversion on \(\text{SL}_2(\mathbb C)\). New York, NY: Springer (2008; Zbl 1192.11056) Full Text: DOI OpenURL
Park, Jinsung Analytic torsions for hyperbolic manifolds with cusps. (English) Zbl 1146.58025 Proc. Japan Acad., Ser. A 83, No. 8, 141-143 (2007). Reviewer: Jan Kurek (Lublin) MSC: 58J52 11M36 PDF BibTeX XML Cite \textit{J. Park}, Proc. Japan Acad., Ser. A 83, No. 8, 141--143 (2007; Zbl 1146.58025) Full Text: DOI Euclid OpenURL
Friedman, Joshua S. Regularized determinants of the Laplacian for cofinite Kleinian groups with finite-dimensional unitary representations. (English) Zbl 1168.30022 Commun. Math. Phys. 275, No. 3, 659-684 (2007). Reviewer: Wolfram Bauer (Greifswald) MSC: 30F40 58J52 11M36 PDF BibTeX XML Cite \textit{J. S. Friedman}, Commun. Math. Phys. 275, No. 3, 659--684 (2007; Zbl 1168.30022) Full Text: DOI arXiv OpenURL
Kimoto, Kazufumi; Wakayama, Masato Elliptic curves arising from the spectral zeta function for non-commutative harmonic oscillators and \(\Gamma_0(4)\)-modular forms. (English) Zbl 1206.11109 Weng, Lin (ed.) et al., Papers of the conference on \(L\)-functions, Fukuoka, Japan, February 18–23, 2006. Hackensack, NJ: World Scientific (ISBN 978-981-270-504-4/hbk). 201-218 (2007). MSC: 11M36 11F11 11G05 58J52 PDF BibTeX XML Cite \textit{K. Kimoto} and \textit{M. Wakayama}, in: Papers of the conference on \(L\)-functions, Fukuoka, Japan, February 18--23, 2006. Hackensack, NJ: World Scientific. 201--218 (2007; Zbl 1206.11109) OpenURL
Avdispahić, Muharem; Smajlović, Lejla Explicit formula for the hyperbolic scattering determinant. (English) Zbl 1192.11055 Acta Math. Sin., Engl. Ser. 23, No. 5, 889-894 (2007). Reviewer: Fredrik Strömberg (Darmstadt) MSC: 11M36 11F72 30B50 PDF BibTeX XML Cite \textit{M. Avdispahić} and \textit{L. Smajlović}, Acta Math. Sin., Engl. Ser. 23, No. 5, 889--894 (2007; Zbl 1192.11055) Full Text: DOI OpenURL
Neira Jiménez, Carolina A mathematical interpretation of the point splitting procedure in quantum field theory. (English) Zbl 1381.81083 Lect. Mat. 27, No. 2, 83-104 (2006). MSC: 81T16 58J52 81T50 11M36 PDF BibTeX XML Cite \textit{C. Neira Jiménez}, Lect. Mat. 27, No. 2, 83--104 (2006; Zbl 1381.81083) OpenURL
Bass, Jamey; Todorov, Andrey The analogue of the Dedekind eta function for CY manifolds I. (English) Zbl 1118.14044 J. Reine Angew. Math. 599, 61-96 (2006). MSC: 14J32 58J52 32Q25 14G10 11M20 PDF BibTeX XML Cite \textit{J. Bass} and \textit{A. Todorov}, J. Reine Angew. Math. 599, 61--96 (2006; Zbl 1118.14044) Full Text: DOI arXiv OpenURL
McIntyre, A.; Takhtajan, L. A. Holomorphic factorization of determinants of Laplacians on Riemann surfaces and a higher genus generalization of Kronecker’s first limit formula. (English) Zbl 1110.58026 Geom. Funct. Anal. 16, No. 6, 1291-1323 (2006). MSC: 58J52 11M36 14H15 30F10 32G15 PDF BibTeX XML Cite \textit{A. McIntyre} and \textit{L. A. Takhtajan}, Geom. Funct. Anal. 16, No. 6, 1291--1323 (2006; Zbl 1110.58026) Full Text: DOI arXiv OpenURL
Mizuno, Yoshinori The spectral zeta function of the unit \(n\)-sphere and an integral treated by Ramanujan. (English) Zbl 1123.11029 Kyushu J. Math. 60, No. 2, 317-330 (2006). Reviewer: Roma Kacinskaite (Siauliai) MSC: 11M35 58J52 PDF BibTeX XML Cite \textit{Y. Mizuno}, Kyushu J. Math. 60, No. 2, 317--330 (2006; Zbl 1123.11029) Full Text: DOI OpenURL
Spreafico, Mauro Zeta invariants for sequences of spectral type, special functions and the Lerch formula. (English) Zbl 1219.11134 Proc. R. Soc. Edinb., Sect. A, Math. 136, No. 4, 863-887 (2006). MSC: 11M36 11B83 11M35 58J52 PDF BibTeX XML Cite \textit{M. Spreafico}, Proc. R. Soc. Edinb., Sect. A, Math. 136, No. 4, 863--887 (2006; Zbl 1219.11134) Full Text: DOI OpenURL
Abdalla, M. C. B.; Bytsenko, A. A.; Guimarães, M. E. X. Complex topological invariants of three-hyperbolic manifolds. (English) Zbl 1099.58007 J. Dyn. Syst. Geom. Theor. 4, No. 1, 1-27 (2006). MSC: 58J28 11M36 57T10 58J52 83C47 PDF BibTeX XML Cite \textit{M. C. B. Abdalla} et al., J. Dyn. Syst. Geom. Theor. 4, No. 1, 1--27 (2006; Zbl 1099.58007) Full Text: DOI OpenURL
Müller, Jörn; Müller, Werner Regularized determinants of Laplace-type operators, analytic surgery, and relative determinants. (English) Zbl 1111.58026 Duke Math. J. 133, No. 2, 259-312 (2006). Reviewer: Agostino Prástaro (Roma) MSC: 58J52 58J50 PDF BibTeX XML Cite \textit{J. Müller} and \textit{W. Müller}, Duke Math. J. 133, No. 2, 259--312 (2006; Zbl 1111.58026) Full Text: DOI arXiv Euclid OpenURL
Barraza, Oscar A. On the logarithmic derivative of the \(\zeta\)-determinant. (English) Zbl 1112.58034 Int. J. Pure Appl. Math. 26, No. 3, 385-398 (2006). Reviewer: Sebastian Goette (Freiburg) MSC: 58J52 58J32 58J40 PDF BibTeX XML Cite \textit{O. A. Barraza}, Int. J. Pure Appl. Math. 26, No. 3, 385--398 (2006; Zbl 1112.58034) OpenURL
Karlovich, Alexei Yu. Higher order asymptotics of Toeplitz determinants with symbols in weighted Wiener algebras. (English) Zbl 1100.47024 J. Math. Anal. Appl. 320, No. 2, 944-963 (2006). Reviewer: Amarino Lebre (Lisboa) MSC: 47B35 47B10 15A15 PDF BibTeX XML Cite \textit{A. Yu. Karlovich}, J. Math. Anal. Appl. 320, No. 2, 944--963 (2006; Zbl 1100.47024) Full Text: DOI Link OpenURL
Asada, Akira Regularized volume form of the sphere of a Hilbert space with the determinant bundle. (English) Zbl 1117.58004 Bureš, Jarolím (ed.) et al., Differential geometry and its applications. Proceedings of the 9th international conference on differential geometry and its applications, DGA 2004, Prague, Czech Republic, August 30–September 3, 2004. Prague: matfyzpress (ISBN 80-86732-63-0/pbk). 397-409 (2005). Reviewer: Mircea Puta (Timişoara) MSC: 58C35 58J52 81S40 PDF BibTeX XML Cite \textit{A. Asada}, in: Differential geometry and its applications. Proceedings of the 9th international conference on differential geometry and its applications, DGA 2004, Prague, Czech Republic, August 30--September 3, 2004. Prague: matfyzpress. 397--409 (2005; Zbl 1117.58004) OpenURL
Hashimoto, Yasufumi; Wakayama, Masato Hierarchy of the Selberg zeta functions. (English) Zbl 1125.11051 Lett. Math. Phys. 73, No. 1, 59-70 (2005). Reviewer: Roma Kacinskaite (Siauliai) MSC: 11M36 33B15 PDF BibTeX XML Cite \textit{Y. Hashimoto} and \textit{M. Wakayama}, Lett. Math. Phys. 73, No. 1, 59--70 (2005; Zbl 1125.11051) Full Text: DOI arXiv OpenURL
Park, Jinsung Eta invariants and regularized determinants for odd dimensional hyperbolic manifolds with cusps. (English) Zbl 1087.58015 Am. J. Math. 127, No. 3, 493-534 (2005). Reviewer: Sergiu Moroianu (Bucureşti) MSC: 58J28 58J52 11F72 11M36 PDF BibTeX XML Cite \textit{J. Park}, Am. J. Math. 127, No. 3, 493--534 (2005; Zbl 1087.58015) Full Text: DOI arXiv OpenURL
Scott, Simon The residue determinant. (English) Zbl 1236.58037 Commun. Partial Differ. Equations 30, No. 4, 483-507 (2005). MSC: 58J52 11M36 35J46 47G30 58J40 PDF BibTeX XML Cite \textit{S. Scott}, Commun. Partial Differ. Equations 30, No. 4, 483--507 (2005; Zbl 1236.58037) Full Text: DOI arXiv OpenURL
Spreafico, M. Zeta function and regularized determinant on a disc and on a cone. (English) Zbl 1072.58025 J. Geom. Phys. 54, No. 3, 355-371 (2005). Reviewer: Anton Deitmar (Tübingen) MSC: 58J52 11M36 PDF BibTeX XML Cite \textit{M. Spreafico}, J. Geom. Phys. 54, No. 3, 355--371 (2005; Zbl 1072.58025) Full Text: DOI OpenURL
Dowker, J. S. Determinants on lens spaces and cyclotomic units. (English) Zbl 1061.58030 J. Phys. A, Math. Gen. 38, No. 5, 1049-1061 (2005). MSC: 58J52 11M36 11R18 11R27 PDF BibTeX XML Cite \textit{J. S. Dowker}, J. Phys. A, Math. Gen. 38, No. 5, 1049--1061 (2005; Zbl 1061.58030) Full Text: DOI arXiv OpenURL
Spreafico, Mauro On the non-homogeneous quadratic Bessel zeta function. (English) Zbl 1102.58015 Mathematika 51, No. 1-2, 123-130 (2004). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J52 11M36 33C10 11M41 PDF BibTeX XML Cite \textit{M. Spreafico}, Mathematika 51, No. 1--2, 123--130 (2004; Zbl 1102.58015) Full Text: DOI arXiv OpenURL
Asada, Akira Zeta regularization and noncommutative geometry. (English) Zbl 1079.58002 Tsagas, Grigorios (ed.), Proceedings of the conference on applied differential geometry and general relativity and the workshop on global analysis, differential geometry and Lie algebras, Thessaloniki, Greece, 2002. Bucharest: Geometry Balkan Press; Bucharest: Balkan Society of Geometers (ISBN 973-8381-08-8/pbk). BSG Proceedings 11, 10-24 (2004). Reviewer: Vassil Angelov (Sofia) MSC: 58B34 58J42 58J52 11M35 PDF BibTeX XML Cite \textit{A. Asada}, BSG Proc. 11, 10--24 (2004; Zbl 1079.58002) OpenURL
Guillopé, Laurent; Lin, Kevin K.; Zworski, Maciej The Selberg zeta function for convex co-compact Schottky groups. (English) Zbl 1075.11059 Commun. Math. Phys. 245, No. 1, 149-176 (2004). MSC: 11M36 58J52 PDF BibTeX XML Cite \textit{L. Guillopé} et al., Commun. Math. Phys. 245, No. 1, 149--176 (2004; Zbl 1075.11059) Full Text: DOI arXiv OpenURL
Bytsenko, A. A.; Elizalde, E.; Guimarães, M. E. X. Operator product on locally symmetric spaces of rank one and the multiplicative anomaly. (English) Zbl 1038.58040 Int. J. Mod. Phys. A 18, No. 12, 2179-2187 (2003). MSC: 58J52 11M36 81T50 PDF BibTeX XML Cite \textit{A. A. Bytsenko} et al., Int. J. Mod. Phys. A 18, No. 12, 2179--2187 (2003; Zbl 1038.58040) Full Text: DOI arXiv OpenURL
Cardona, Alexander; Ducourtioux, Catherine; Paycha, Sylvie From tracial anomalies to anomalies in quantum field theory. (English) Zbl 1037.81089 Commun. Math. Phys. 242, No. 1-2, 31-65 (2003). MSC: 81T50 58J42 58J20 58J28 58J30 58J52 PDF BibTeX XML Cite \textit{A. Cardona} et al., Commun. Math. Phys. 242, No. 1--2, 31--65 (2003; Zbl 1037.81089) Full Text: DOI arXiv OpenURL
Furutani, Kenro; de Gosson, Serge Determinant of Laplacians on Heisenberg manifolds. (English) Zbl 1049.58031 J. Geom. Phys. 48, No. 2-3, 438-479 (2003). Reviewer: Sergiu Moroianu (Bucharest) MSC: 58J52 PDF BibTeX XML Cite \textit{K. Furutani} and \textit{S. de Gosson}, J. Geom. Phys. 48, No. 2--3, 438--479 (2003; Zbl 1049.58031) Full Text: DOI arXiv OpenURL
Bär, Christian; Schopka, Sven The Dirac determinant of spherical space forms. (English) Zbl 1049.58030 Hildebrandt, Stefan (ed.) et al., Geometric analysis and nonlinear partial differential equations. Berlin: Springer (ISBN 3-540-44051-8/hbk). 39-67 (2003). Reviewer: Ilka Agricola (Berlin) MSC: 58J52 81T16 11S40 PDF BibTeX XML Cite \textit{C. Bär} and \textit{S. Schopka}, in: Geometric analysis and nonlinear partial differential equations. Berlin: Springer. 39--67 (2003; Zbl 1049.58030) OpenURL