Ribeiro, Pedro; Yakubovich, Semyon Certain extensions of results of Siegel, Wilton and Hardy. (English) Zbl 07822013 Adv. Appl. Math. 156, Article ID 102676, 94 p. (2024). MSC: 11E45 11M41 33C10 33C15 30B50 44A15 PDFBibTeX XMLCite \textit{P. Ribeiro} and \textit{S. Yakubovich}, Adv. Appl. Math. 156, Article ID 102676, 94 p. (2024; Zbl 07822013) Full Text: DOI arXiv
Yang, Daodao Extreme values of derivatives of zeta and \(L\)-functions. (English) Zbl 07798498 Bull. Lond. Math. Soc. 56, No. 1, 79-95 (2024). MSC: 11M06 PDFBibTeX XMLCite \textit{D. Yang}, Bull. Lond. Math. Soc. 56, No. 1, 79--95 (2024; Zbl 07798498) Full Text: DOI arXiv OA License
Gambini, Alessandro; Nicoletti, Giorgio; Ritelli, Daniele A structural approach to Gudermannian functions. (English) Zbl 07783581 Result. Math. 79, No. 1, Paper No. 10, 29 p. (2024). MSC: 26A06 33B10 PDFBibTeX XMLCite \textit{A. Gambini} et al., Result. Math. 79, No. 1, Paper No. 10, 29 p. (2024; Zbl 07783581) Full Text: DOI OA License
Ribeiro, Pedro; Yakubovich, Semyon On the Epstein zeta function and the zeros of a class of Dirichlet series. (English) Zbl 07758995 J. Math. Anal. Appl. 530, No. 1, Article ID 127590, 44 p. (2024). MSC: 11M41 11E45 11N37 PDFBibTeX XMLCite \textit{P. Ribeiro} and \textit{S. Yakubovich}, J. Math. Anal. Appl. 530, No. 1, Article ID 127590, 44 p. (2024; Zbl 07758995) Full Text: DOI arXiv
Kelmer, Dubi; Yu, Shucheng Fourier expansion of light-cone Eisenstein series. (English) Zbl 07780673 J. Lond. Math. Soc., II. Ser. 108, No. 6, 2175-2247 (2023). MSC: 11F12 11F55 11D45 PDFBibTeX XMLCite \textit{D. Kelmer} and \textit{S. Yu}, J. Lond. Math. Soc., II. Ser. 108, No. 6, 2175--2247 (2023; Zbl 07780673) Full Text: DOI arXiv OA License
Bringmann, Kathrin; Ono, Ken; Wagner, Ian Eichler integrals of Eisenstein series as \(q\)-brackets of weighted \(t\)-hook functions on partitions. (English) Zbl 1526.11059 Ramanujan J. 61, No. 1, 279-293 (2023). Reviewer: Mircea Merca (Cornu de Jos) MSC: 11P84 11F03 11F20 PDFBibTeX XMLCite \textit{K. Bringmann} et al., Ramanujan J. 61, No. 1, 279--293 (2023; Zbl 1526.11059) Full Text: DOI arXiv
Rebák, Örs The three missing terms in Ramanujan’s septic theta function identity. (English) Zbl 1509.11031 Ramanujan J. 60, No. 4, 885-911 (2023). MSC: 11F27 33C05 05A30 11F32 11R29 PDFBibTeX XMLCite \textit{Ö. Rebák}, Ramanujan J. 60, No. 4, 885--911 (2023; Zbl 1509.11031) Full Text: DOI arXiv
Wang, Xiao-Han; Wang, Nian-Liang; Shigeru, Kanemitsu An extension of Maass theory to general Dirichlet series. (English) Zbl 07615054 Integral Transforms Spec. Funct. 33, No. 12, 929-944 (2022). Reviewer: Yilmaz Simsek (Antalya) MSC: 11F30 11M41 11B83 11E45 11F12 30F35 44A15 PDFBibTeX XMLCite \textit{X.-H. Wang} et al., Integral Transforms Spec. Funct. 33, No. 12, 929--944 (2022; Zbl 07615054) Full Text: DOI
Eriksson, Dennis; Freixas i Montplet, Gerard; Mourougane, Christophe On genus one mirror symmetry in higher dimensions and the BCOV conjectures. (English) Zbl 1508.14041 Forum Math. Pi 10, Paper No. e19, 53 p. (2022). MSC: 14J32 14J33 58J52 32G20 PDFBibTeX XMLCite \textit{D. Eriksson} et al., Forum Math. Pi 10, Paper No. e19, 53 p. (2022; Zbl 1508.14041) Full Text: DOI arXiv
Sprang, Johannes On the transcendence of critical Hecke \(L\)-values. (English) Zbl 1499.11243 Bostan, Alin (ed.) et al., Transcendence in algebra, combinatorics, geometry and number theory. TRANS19 – transient transcendence in Transylvania, Brașov, Romania, May 13–17, 2019. Revised and extended contributions. Cham: Springer. Springer Proc. Math. Stat. 373, 509-521 (2021). MSC: 11J81 11F67 PDFBibTeX XMLCite \textit{J. Sprang}, Springer Proc. Math. Stat. 373, 509--521 (2021; Zbl 1499.11243) Full Text: DOI
Ono, Ken The Eichler integral of \(E_2\) and \(q\)-brackets of \(t\)-hook functions. (English) Zbl 1491.11044 Gesztesy, Fritz (ed.) et al., From operator theory to orthogonal polynomials, combinatorics, and number theory. A volume in honor of Lance Littlejohn’s 70th birthday. Cham: Birkhäuser. Oper. Theory: Adv. Appl. 285, 371-382 (2021). MSC: 11F03 05A17 20C20 11E45 11P81 PDFBibTeX XMLCite \textit{K. Ono}, Oper. Theory: Adv. Appl. 285, 371--382 (2021; Zbl 1491.11044) Full Text: DOI arXiv
Kalita, Gautam; Jana, Arijit On some supercongruence conjectures for truncated hypergeometric series. (English) Zbl 1482.11003 Indian J. Pure Appl. Math. 52, No. 1, 168-192 (2021). Reviewer: Enzo Bonacci (Latina) MSC: 11A07 11B65 33B15 33C20 PDFBibTeX XMLCite \textit{G. Kalita} and \textit{A. Jana}, Indian J. Pure Appl. Math. 52, No. 1, 168--192 (2021; Zbl 1482.11003) Full Text: DOI
Laurinčikas, Antanas; Macaitienė, Renata A Bohr-Jessen type theorems for the Epstein zeta-function: III. (English) Zbl 1509.11088 Result. Math. 76, No. 2, Paper No. 105, 16 p. (2021). MSC: 11M41 PDFBibTeX XMLCite \textit{A. Laurinčikas} and \textit{R. Macaitienė}, Result. Math. 76, No. 2, Paper No. 105, 16 p. (2021; Zbl 1509.11088) Full Text: DOI
Gambini, Alessandro; Nicoletti, Giorgio; Ritelli, Daniele Keplerian trigonometry. (English) Zbl 1471.33001 Monatsh. Math. 195, No. 1, 55-72 (2021). Reviewer: Stefan Groote (Tartu) MSC: 33B10 11E45 14H50 14H52 33B15 33E05 PDFBibTeX XMLCite \textit{A. Gambini} et al., Monatsh. Math. 195, No. 1, 55--72 (2021; Zbl 1471.33001) Full Text: DOI
Hartl, Urs; Singh, Rajneesh Kumar Product formulas for periods of CM abelian varieties and the function field analog. (English) Zbl 1469.11179 J. Number Theory 218, 62-151 (2021). MSC: 11G09 11G15 11R42 PDFBibTeX XMLCite \textit{U. Hartl} and \textit{R. K. Singh}, J. Number Theory 218, 62--151 (2021; Zbl 1469.11179) Full Text: DOI arXiv
Watkins, Mark Comments on Deuring’s zero-spacing phenomenon. (English) Zbl 1471.11235 J. Number Theory 218, 1-43 (2021). MSC: 11M26 11M20 PDFBibTeX XMLCite \textit{M. Watkins}, J. Number Theory 218, 1--43 (2021; Zbl 1471.11235) Full Text: DOI
Burrows, Antony; Cooper, Shaun; Pahl, Elke; Schwerdtfeger, Peter Analytical methods for fast converging lattice sums for cubic and hexagonal close-packed structures. (English) Zbl 1462.82072 J. Math. Phys. 61, No. 12, 123503, 35 p. (2020). Reviewer: Utkir A. Rozikov (Tashkent) MSC: 82D25 82D20 82B20 11E45 40A25 33C10 PDFBibTeX XMLCite \textit{A. Burrows} et al., J. Math. Phys. 61, No. 12, 123503, 35 p. (2020; Zbl 1462.82072) Full Text: DOI
Yoshikawa, Ken-Ichi \(K3\) surfaces with involution and analytic torsion. (English. Japanese original) Zbl 1446.32001 Sugaku Expo. 33, No. 1, 85-109 (2020); translation from Sūgaku 68, No. 3, 225-245 (2016). MSC: 32-02 14-02 32J15 32N15 14J28 PDFBibTeX XMLCite \textit{K.-I. Yoshikawa}, Sugaku Expo. 33, No. 1, 85--109 (2020; Zbl 1446.32001); translation from Sūgaku 68, No. 3, 225--245 (2016) Full Text: DOI arXiv
Yang, Liyang An explicit CM type norm formula and effective nonvanishing of class group \(L\)-functions for CM fields. (English) Zbl 1468.11138 Pac. J. Math. 304, No. 1, 347-384 (2020). MSC: 11G15 11G35 11M20 11R29 11R42 PDFBibTeX XMLCite \textit{L. Yang}, Pac. J. Math. 304, No. 1, 347--384 (2020; Zbl 1468.11138) Full Text: DOI arXiv
Ye, Dongxi On a zeta function associated to a quadratic order. (English) Zbl 1458.11066 Result. Math. 75, No. 1, Paper No. 27, 24 p. (2020). Reviewer: Noriko Yui (Kingston) MSC: 11E45 11F03 11M41 11R42 PDFBibTeX XMLCite \textit{D. Ye}, Result. Math. 75, No. 1, Paper No. 27, 24 p. (2020; Zbl 1458.11066) Full Text: DOI
Barman, Rupam; Saikia, Neelam Supercongruences for truncated hypergeometric series and \(p\)-adic gamma function. (English) Zbl 1509.11003 Math. Proc. Camb. Philos. Soc. 168, No. 1, 171-195 (2020). MSC: 11A07 11S80 33C20 33E50 PDFBibTeX XMLCite \textit{R. Barman} and \textit{N. Saikia}, Math. Proc. Camb. Philos. Soc. 168, No. 1, 171--195 (2020; Zbl 1509.11003) Full Text: DOI arXiv
Choi, Dohoon; Kim, Byungchan; Lim, Subong Pairs of eta-quotients with dual weights and their applications. (English) Zbl 1462.11036 Adv. Math. 355, Article ID 106779, 51 p. (2019). MSC: 11F20 11F11 PDFBibTeX XMLCite \textit{D. Choi} et al., Adv. Math. 355, Article ID 106779, 51 p. (2019; Zbl 1462.11036) Full Text: DOI
Friedli, Fabien The bundle Laplacian on discrete tori. (English) Zbl 1407.05147 Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 6, No. 1, 97-121 (2019). MSC: 05C50 05C22 05C30 11M41 35K08 58J52 PDFBibTeX XMLCite \textit{F. Friedli}, Ann. Inst. Henri Poincaré D, Comb. Phys. Interact. 6, No. 1, 97--121 (2019; Zbl 1407.05147) Full Text: DOI arXiv
Duke, W.; Imamoḡlu, Ö.; Tóth, Á. Kronecker’s first limit formula, revisited. (English) Zbl 1441.11085 Res. Math. Sci. 5, No. 2, Paper No. 20, 21 p. (2018). MSC: 11F11 11R29 11R11 11F37 PDFBibTeX XMLCite \textit{W. Duke} et al., Res. Math. Sci. 5, No. 2, Paper No. 20, 21 p. (2018; Zbl 1441.11085) Full Text: DOI
Barquero-Sanchez, Adrian; Masri, Riad On the Colmez conjecture for non-abelian CM fields. (English) Zbl 1441.11159 Res. Math. Sci. 5, No. 1, Paper No. 10, 41 p. (2018). MSC: 11G15 14K22 11R42 14G40 PDFBibTeX XMLCite \textit{A. Barquero-Sanchez} and \textit{R. Masri}, Res. Math. Sci. 5, No. 1, Paper No. 10, 41 p. (2018; Zbl 1441.11159) Full Text: DOI arXiv Link
Li, Wen-Ching Winnie; Long, Ling; Tu, Fang-Ting Computing special \(L\)-values of certain modular forms with complex multiplication. (English) Zbl 1456.11057 SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 090, 32 p. (2018). Reviewer: Noriko Yui (Kingston) MSC: 11F11 11F67 11M36 33C05 PDFBibTeX XMLCite \textit{W.-C. W. Li} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 14, Paper 090, 32 p. (2018; Zbl 1456.11057) Full Text: DOI arXiv
Chen, Imin; Glebov, Gleb On Chudnovsky-Ramanujan type formulae. (English) Zbl 1422.11243 Ramanujan J. 46, No. 3, 677-712 (2018). MSC: 11Y60 14H52 14K20 33C05 PDFBibTeX XMLCite \textit{I. Chen} and \textit{G. Glebov}, Ramanujan J. 46, No. 3, 677--712 (2018; Zbl 1422.11243) Full Text: DOI arXiv
Yang, Yifan Special values of hypergeometric functions and periods of CM elliptic curves. (English) Zbl 1429.11077 Trans. Am. Math. Soc. 370, No. 9, 6433-6467 (2018). MSC: 11F12 11G15 11G18 33C05 PDFBibTeX XMLCite \textit{Y. Yang}, Trans. Am. Math. Soc. 370, No. 9, 6433--6467 (2018; Zbl 1429.11077) Full Text: DOI arXiv
Tang, Yunqing Algebraic solutions of differential equations over \(\mathbb{P}^1 - \{0, 1, \infty \}\). (English) Zbl 1452.12005 Int. J. Number Theory 14, No. 5, 1427-1457 (2018). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 12H25 11G50 14G40 PDFBibTeX XMLCite \textit{Y. Tang}, Int. J. Number Theory 14, No. 5, 1427--1457 (2018; Zbl 1452.12005) Full Text: DOI arXiv
Boysal, Arzu; Ecevit, Fatih; Yıldırım, Cem Yalçın A lattice sum involving the cosine function. (English) Zbl 1406.40001 J. Math. Anal. Appl. 463, No. 1, 134-160 (2018). MSC: 40A05 26D05 PDFBibTeX XMLCite \textit{A. Boysal} et al., J. Math. Anal. Appl. 463, No. 1, 134--160 (2018; Zbl 1406.40001) Full Text: DOI
Louboutin, Stéphane R. Upper bounds on \(L(1,\chi)\) taking into account a finite set of prime ideals. (English) Zbl 1422.11230 Acta Arith. 182, No. 3, 249-269 (2018). MSC: 11R42 11M20 11R29 PDFBibTeX XMLCite \textit{S. R. Louboutin}, Acta Arith. 182, No. 3, 249--269 (2018; Zbl 1422.11230) Full Text: DOI
Yuan, Xinyi; Zhang, Shou-Wu On the averaged Colmez conjecture. (English) Zbl 1412.11078 Ann. Math. (2) 187, No. 2, 533-638 (2018); erratum ibid. 198, No. 2, 867-878 (2023). Reviewer: Kazuma Morita (Sapporo) MSC: 11G15 14G40 14G10 PDFBibTeX XMLCite \textit{X. Yuan} and \textit{S.-W. Zhang}, Ann. Math. (2) 187, No. 2, 533--638 (2018; Zbl 1412.11078) Full Text: DOI arXiv
Choi, Dohoon; Lim, Subong Hecke structures of weakly holomorphic modular forms and their algebraic properties. (English) Zbl 1420.11073 J. Number Theory 184, 428-450 (2018). MSC: 11F11 11F25 PDFBibTeX XMLCite \textit{D. Choi} and \textit{S. Lim}, J. Number Theory 184, 428--450 (2018; Zbl 1420.11073) Full Text: DOI
Friedli, Fabien; Karlsson, Anders Spectral zeta functions of graphs and the Riemann zeta function in the critical strip. (English) Zbl 1429.11153 Tohoku Math. J. (2) 69, No. 4, 585-610 (2017). MSC: 11M06 11M26 05C50 33C65 33E05 PDFBibTeX XMLCite \textit{F. Friedli} and \textit{A. Karlsson}, Tôhoku Math. J. (2) 69, No. 4, 585--610 (2017; Zbl 1429.11153) Full Text: DOI arXiv
Barquero-Sanchez, Adrian; Cadwallader, Lindsay; Cannon, Olivia; Genao, Tyler; Masri, Riad Faltings heights of CM elliptic curves and special gamma values. (English) Zbl 1405.11081 Res. Number Theory 3, Paper No. 13, 16 p. (2017). MSC: 11G15 11G50 14K22 PDFBibTeX XMLCite \textit{A. Barquero-Sanchez} et al., Res. Number Theory 3, Paper No. 13, 16 p. (2017; Zbl 1405.11081) Full Text: DOI
Petrache, Mircea; Serfaty, Sylvia Next order asymptotics and renormalized energy for Riesz interactions. (English) Zbl 1373.82013 J. Inst. Math. Jussieu 16, No. 3, 501-569 (2017). Reviewer: Iván Abonyi (Budapest) MSC: 82B05 82B21 82B26 15B52 PDFBibTeX XMLCite \textit{M. Petrache} and \textit{S. Serfaty}, J. Inst. Math. Jussieu 16, No. 3, 501--569 (2017; Zbl 1373.82013) Full Text: DOI arXiv
Louboutin, Stéphane R. Upper bounds on \(L(1,\chi)\) taking into account ramified prime ideals. (English) Zbl 1428.11200 J. Number Theory 177, 60-72 (2017). MSC: 11R42 11M20 PDFBibTeX XMLCite \textit{S. R. Louboutin}, J. Number Theory 177, 60--72 (2017; Zbl 1428.11200) Full Text: DOI
Lee, Jung-Jo; Murty, M. Ram; Park, Donghoon Generalization of a theorem of Hurwitz. (English) Zbl 1425.11137 J. Ramanujan Math. Soc. 31, No. 3, 215-226 (2016). MSC: 11J81 11G15 11R42 PDFBibTeX XMLCite \textit{J.-J. Lee} et al., J. Ramanujan Math. Soc. 31, No. 3, 215--226 (2016; Zbl 1425.11137) Full Text: Link
Yang, Yifan Ramanujan-type identities for Shimura curves. (English) Zbl 1410.11076 Isr. J. Math. 214, No. 2, 699-731 (2016). MSC: 11G18 11G15 PDFBibTeX XMLCite \textit{Y. Yang}, Isr. J. Math. 214, No. 2, 699--731 (2016; Zbl 1410.11076) Full Text: DOI arXiv
Barquero-Sanchez, Adrian; Masri, Riad The Chowla-Selberg formula for abelian CM fields and Faltings heights. (English) Zbl 1415.11076 Compos. Math. 152, No. 3, 445-476 (2016). MSC: 11F41 11R42 PDFBibTeX XMLCite \textit{A. Barquero-Sanchez} and \textit{R. Masri}, Compos. Math. 152, No. 3, 445--476 (2016; Zbl 1415.11076) Full Text: DOI
Cass, Robert The Chowla-Selberg formula for quartic abelian CM fields. (English) Zbl 1357.11052 Proc. Am. Math. Soc. 144, No. 7, 2753-2769 (2016). Reviewer: Gabriele Nebe (Aachen) MSC: 11F41 11R42 PDFBibTeX XMLCite \textit{R. Cass}, Proc. Am. Math. Soc. 144, No. 7, 2753--2769 (2016; Zbl 1357.11052) Full Text: DOI Link
Proskurin, N. V. On the zeros of the zeta function of the quadratic form \(x^2+y^2+z^2\). (English. Russian original) Zbl 1379.11039 St. Petersbg. Math. J. 27, No. 2, 177-189 (2016); translation from Algebra Anal. 27, No. 2, 1-19 (2015). MSC: 11E45 PDFBibTeX XMLCite \textit{N. V. Proskurin}, St. Petersbg. Math. J. 27, No. 2, 177--189 (2016; Zbl 1379.11039); translation from Algebra Anal. 27, No. 2, 1--19 (2015) Full Text: DOI
Borwein, Jonathan M.; Straub, Armin; Vignat, Christophe Densities of short uniform random walks in higher dimensions. (English) Zbl 1333.60086 J. Math. Anal. Appl. 437, No. 1, 668-707 (2016). MSC: 60G50 PDFBibTeX XMLCite \textit{J. M. Borwein} et al., J. Math. Anal. Appl. 437, No. 1, 668--707 (2016; Zbl 1333.60086) Full Text: DOI arXiv
Long, Ling; Ramakrishna, Ravi Some supercongruences occurring in truncated hypergeometric series. (English) Zbl 1336.33018 Adv. Math. 290, 773-808 (2016). Reviewer: József Sándor (Cluj-Napoca) MSC: 11A07 11S80 33C20 33E50 PDFBibTeX XMLCite \textit{L. Long} and \textit{R. Ramakrishna}, Adv. Math. 290, 773--808 (2016; Zbl 1336.33018) Full Text: DOI arXiv
Schultz, Daniel Cubic modular equations in two variables. (English) Zbl 1331.11028 Adv. Math. 290, 329-363 (2016). Reviewer: P. K. Banerji (Jodhpur) MSC: 11F03 14H42 33C65 33D80 PDFBibTeX XMLCite \textit{D. Schultz}, Adv. Math. 290, 329--363 (2016; Zbl 1331.11028) Full Text: DOI
Katsurada, Masanori Complete asymptotic expansions associated with Epstein zeta-functions. II. (English) Zbl 1322.11031 Ramanujan J. 36, No. 3, 403-437 (2015). Reviewer: Guram Gogishvili (Tbilisi) MSC: 11E45 11F11 11M35 PDFBibTeX XMLCite \textit{M. Katsurada}, Ramanujan J. 36, No. 3, 403--437 (2015; Zbl 1322.11031) Full Text: DOI
Cacciatori, Sergio Luigi; Compagnoni, Marco; Guerra, Stefano The physical mirror equivalence for the local \(\mathbb P^2\). (English) Zbl 1346.14107 Commun. Math. Phys. 333, No. 1, 367-388 (2015). Reviewer: Vehbi Emrah Paksoy (Fort Lauderdale) MSC: 14J33 14N35 PDFBibTeX XMLCite \textit{S. L. Cacciatori} et al., Commun. Math. Phys. 333, No. 1, 367--388 (2015; Zbl 1346.14107) Full Text: DOI arXiv
Mingari Scarpello, Giovanni; Ritelli, Daniele Legendre hyperelliptic integrals, \(\pi\) new formulae and Lauricella functions through the elliptic singular moduli. (English) Zbl 1384.33028 J. Number Theory 135, 334-352 (2014). MSC: 33C65 11Y60 PDFBibTeX XMLCite \textit{G. Mingari Scarpello} and \textit{D. Ritelli}, J. Number Theory 135, 334--352 (2014; Zbl 1384.33028) Full Text: DOI
Mingari Scarpello, Giovanni; Ritelli, Daniele On computing some special values of multivariate hypergeometric functions. (English) Zbl 1312.33054 J. Math. Anal. Appl. 420, No. 2, 1693-1718 (2014). Reviewer: Allal Ghanmi (Rabat) MSC: 33E05 33C65 PDFBibTeX XMLCite \textit{G. Mingari Scarpello} and \textit{D. Ritelli}, J. Math. Anal. Appl. 420, No. 2, 1693--1718 (2014; Zbl 1312.33054) Full Text: DOI arXiv
Gun, Sanoli; Saha, Biswajyoti On the zeros of weakly holomorphic modular forms. (English) Zbl 1314.11021 Arch. Math. 102, No. 6, 531-543 (2014). Reviewer: Noburo Ishii (Kyoto) MSC: 11F03 11J81 11J91 PDFBibTeX XMLCite \textit{S. Gun} and \textit{B. Saha}, Arch. Math. 102, No. 6, 531--543 (2014; Zbl 1314.11021) Full Text: DOI arXiv
Chamberland, Marc; Straub, Armin On gamma quotients and infinite products. (English) Zbl 1301.33002 Adv. Appl. Math. 51, No. 5, 546-562 (2013). MSC: 33B15 11B83 PDFBibTeX XMLCite \textit{M. Chamberland} and \textit{A. Straub}, Adv. Appl. Math. 51, No. 5, 546--562 (2013; Zbl 1301.33002) Full Text: DOI arXiv
Chisholm, Sarah; Deines, Alyson; Long, Ling; Nebe, Gabriele; Swisher, Holly \(p\)-adic analogues of Ramanujan type formulas for \(1/\pi\). (English) Zbl 1296.11058 Mathematics 1, No. 1, 9-30 (2013). MSC: 11G05 11F11 44A20 11F33 PDFBibTeX XMLCite \textit{S. Chisholm} et al., Mathematics 1, No. 1, 9--30 (2013; Zbl 1296.11058) Full Text: DOI
Elsner, Carsten; Shimomura, Shun; Shiokawa, Iekata Algebraic independence of certain numbers related to modular functions. (English) Zbl 1290.11109 Funct. Approximatio, Comment. Math. 47, No. 1, 121-141 (2012). MSC: 11J85 11J89 11J91 11F03 PDFBibTeX XMLCite \textit{C. Elsner} et al., Funct. Approximatio, Comment. Math. 47, No. 1, 121--141 (2012; Zbl 1290.11109) Full Text: DOI Euclid
Zucker, I. J. 70+ years of the Watson integrals. (English) Zbl 1231.82026 J. Stat. Phys. 145, No. 3, 591-612 (2011). MSC: 82B41 33E05 33C05 33C75 33-03 33E20 60G50 33C10 01A60 01A61 PDFBibTeX XMLCite \textit{I. J. Zucker}, J. Stat. Phys. 145, No. 3, 591--612 (2011; Zbl 1231.82026) Full Text: DOI
Murty, M. Ram; Murty, V. Kumar Transcendental values of class group \(L\)-functions. (English) Zbl 1281.11071 Math. Ann. 351, No. 4, 835-855 (2011). Reviewer: Sanoli Gun (Chennai) MSC: 11J81 11J86 11M20 11R42 11R47 PDFBibTeX XMLCite \textit{M. R. Murty} and \textit{V. K. Murty}, Math. Ann. 351, No. 4, 835--855 (2011; Zbl 1281.11071) Full Text: DOI
Velásquez Castañón, Oswaldo Upper bound for the number of zeros of a meromorphic function outside a vertical line and applications. (Majoration du nombre de zéros d’une fonction méromorphe en dehors d’une droite verticale et applications.) (French, English) Zbl 1203.11059 J. Anal. Math. 110, 67-127 (2010). Reviewer: Florin Nicolae (Berlin) MSC: 11M26 PDFBibTeX XMLCite \textit{O. Velásquez Castañón}, J. Anal. Math. 110, 67--127 (2010; Zbl 1203.11059) Full Text: DOI arXiv
Waldschmidt, Michel Elliptic functions and transcendence. (English) Zbl 1210.11084 Alladi, Krishnaswami (ed.), Surveys in number theory. New York, NY: Springer (ISBN 978-0-387-78509-7/hbk). Developments in Mathematics 17, 1-46 (2008). MSC: 11J89 11-02 11J82 PDFBibTeX XMLCite \textit{M. Waldschmidt}, Dev. Math. 17, 1--46 (2008; Zbl 1210.11084) Full Text: DOI
Berndt, Bruce C.; Lee, Yoonbok; Sohn, Jaebum Koshliakov’s formula and Guinand’s formula in Ramanujan’s lost notebook. (English) Zbl 1183.33007 Alladi, Krishnaswami (ed.), Surveys in number theory. New York, NY: Springer (ISBN 978-0-387-78509-7/hbk). Developments in Mathematics 17, 21-42 (2008). MSC: 33C10 11F12 11F20 PDFBibTeX XMLCite \textit{B. C. Berndt} et al., Dev. Math. 17, 21--42 (2008; Zbl 1183.33007) Full Text: DOI
Omar, Sami Non-vanishing of Dirichlet \(L\)-functions at the central point. (English) Zbl 1205.11097 van der Poorten, Alfred J. (ed.) et al., Algorithmic number theory. 8th international symposium, ANTS-VIII Banff, Canada, May 17–22, 2008 Proceedings. Berlin: Springer (ISBN 978-3-540-79455-4/pbk). Lecture Notes in Computer Science 5011, 443-453 (2008). MSC: 11M26 11M06 PDFBibTeX XMLCite \textit{S. Omar}, Lect. Notes Comput. Sci. 5011, 443--453 (2008; Zbl 1205.11097) Full Text: DOI
Katsurada, Masanori Complete asymptotic expansions associated with Epstein zeta-functions. (English) Zbl 1171.11023 Ramanujan J. 14, No. 2, 249-275 (2007). MSC: 11E45 11F11 PDFBibTeX XMLCite \textit{M. Katsurada}, Ramanujan J. 14, No. 2, 249--275 (2007; Zbl 1171.11023) Full Text: DOI
Duke, William; Imamoḡlu, Özlem On a formula of Bloch. (English) Zbl 1213.11141 Funct. Approximatio, Comment. Math. 37, Part 1, 109-117 (2007). MSC: 11G55 14G10 11R42 PDFBibTeX XMLCite \textit{W. Duke} and \textit{Ö. Imamoḡlu}, Funct. Approximatio, Comment. Math. 37, Part 1, 109--117 (2007; Zbl 1213.11141) Full Text: DOI Euclid
Murty, M. Ram; Osburn, Robert Representations of integers by certain positive definite binary quadratic forms. (English) Zbl 1155.11022 Ramanujan J. 14, No. 3, 351-359 (2007). Reviewer: Osman Bizim (Bursa) MSC: 11E25 11E45 11M41 PDFBibTeX XMLCite \textit{M. R. Murty} and \textit{R. Osburn}, Ramanujan J. 14, No. 3, 351--359 (2007; Zbl 1155.11022) Full Text: DOI arXiv
Duke, William; Imamoḡlu, Özlem Special values of multiple gamma functions. (English) Zbl 1169.11316 J. Théor. Nombres Bordx. 18, No. 1, 113-123 (2006). MSC: 11M36 11E45 11F30 11F67 11M35 33B15 PDFBibTeX XMLCite \textit{W. Duke} and \textit{Ö. Imamoḡlu}, J. Théor. Nombres Bordx. 18, No. 1, 113--123 (2006; Zbl 1169.11316) Full Text: DOI Numdam EuDML
Ki, Haseo On the nontrivial zeros of modified Epstein zeta functions. (English) Zbl 1178.11038 C. R., Math., Acad. Sci. Paris 342, No. 2, 79-81 (2006). MSC: 11E45 11M41 PDFBibTeX XMLCite \textit{H. Ki}, C. R., Math., Acad. Sci. Paris 342, No. 2, 79--81 (2006; Zbl 1178.11038) Full Text: DOI
Kanemitsu, Shigeru; Tanigawa, Yoshio; Tsukada, Haruo; Yoshimoto, Masami Crystal symmetry viewed as zeta symmetry. (English) Zbl 1170.11325 Aoki, Takashi (ed.) et al., Zeta functions, topology and quantum physics. Papers of the symposium, Osaka, Japan, March 3–6, 2003. New York, NY: Springer (ISBN 0-387-24972-9/hbk; 0-387-24981-8/e-book). Developments in Mathematics 14, 91-129 (2005). MSC: 11M41 11Z05 82D25 PDFBibTeX XMLCite \textit{S. Kanemitsu} et al., Dev. Math. 14, 91--129 (2005; Zbl 1170.11325) Full Text: DOI
Kholodenko, A. L. New strings for old Veneziano amplitudes. I: Analytical treatment. (English) Zbl 1079.83032 J. Geom. Phys. 55, No. 1, 50-74 (2005). Reviewer: Gil de Oliveira-Neta (Minas Gerais) MSC: 83E30 81T30 81T40 PDFBibTeX XMLCite \textit{A. L. Kholodenko}, J. Geom. Phys. 55, No. 1, 50--74 (2005; Zbl 1079.83032) Full Text: DOI arXiv
El Amrani, Mohammed; Hachami, Saïd Integral-fibre for a Chowla-Selberg formula. (Intégrales-fibres pour une formule de Chowla-Selberg.) (French) Zbl 1073.32012 Manuscr. Math. 117, No. 3, 345-361 (2005). MSC: 32S30 32S05 11E45 PDFBibTeX XMLCite \textit{M. El Amrani} and \textit{S. Hachami}, Manuscr. Math. 117, No. 3, 345--361 (2005; Zbl 1073.32012) Full Text: DOI
Chua, Kok Seng Real zeros of Dedekind zeta functions of real quadratic fields. (English) Zbl 1082.11081 Math. Comput. 74, No. 251, 1457-1470 (2005). Reviewer: Olivier Ramaré (Lille) MSC: 11Y35 11M20 11M41 11Y40 PDFBibTeX XMLCite \textit{K. S. Chua}, Math. Comput. 74, No. 251, 1457--1470 (2005; Zbl 1082.11081) Full Text: DOI
Ishikawa, H.; Thuswaldner, J. M. On the asymptotic behavior of the Laurent coefficients of a class of Dirichlet series. (English) Zbl 1136.11320 Abh. Math. Semin. Univ. Hamb. 74, 11-32 (2004). MSC: 11M41 30B50 PDFBibTeX XMLCite \textit{H. Ishikawa} and \textit{J. M. Thuswaldner}, Abh. Math. Semin. Univ. Hamb. 74, 11--32 (2004; Zbl 1136.11320) Full Text: DOI
Yi, Jinhee Theta-function identities and the explicit formulas for theta-function and their applications. (English) Zbl 1060.11027 J. Math. Anal. Appl. 292, No. 2, 381-400 (2004). Reviewer: Shaun Cooper (Auckland) MSC: 11F27 11F20 33E05 PDFBibTeX XMLCite \textit{J. Yi}, J. Math. Anal. Appl. 292, No. 2, 381--400 (2004; Zbl 1060.11027) Full Text: DOI
Watkins, Mark Class numbers of imaginary quadratic fields. (English) Zbl 1050.11095 Math. Comput. 73, No. 246, 907-938 (2004). Reviewer: Ken Yamamura (Yokosuka) MSC: 11R29 11M06 11Y35 11R11 PDFBibTeX XMLCite \textit{M. Watkins}, Math. Comput. 73, No. 246, 907--938 (2004; Zbl 1050.11095) Full Text: DOI
Li, Xian-Jin A formula for the Dedekind \(\xi\)-function of an imaginary quadratic field. (English) Zbl 0986.11060 J. Math. Anal. Appl. 260, No. 2, 404-420 (2001). Reviewer: Ramūnas Garunkštis (Vilnius) MSC: 11M41 11R42 11M06 PDFBibTeX XMLCite \textit{X.-J. Li}, J. Math. Anal. Appl. 260, No. 2, 404--420 (2001; Zbl 0986.11060) Full Text: DOI
Bays, Carter; Ford, Kevin; Hudson, Richard H.; Rubinstein, Michael Zeros of Dirichlet \(L\)-functions near the real axis and Chebyshev’s bias. (English) Zbl 1009.11057 J. Number Theory 87, No. 1, 54-76 (2001). Reviewer: J.Kaczorowski (Poznań) MSC: 11N13 11M41 PDFBibTeX XMLCite \textit{C. Bays} et al., J. Number Theory 87, No. 1, 54--76 (2001; Zbl 1009.11057) Full Text: DOI
Chen, Zesen; Hayes, David R. Average norms of \(j\)-invariants of Drinfeld modules. (English) Zbl 1003.11024 J. Number Theory 85, No. 2, 189-200 (2000). Reviewer: Marc Reversat (Toulouse) MSC: 11G09 11F52 PDFBibTeX XMLCite \textit{Z. Chen} and \textit{D. R. Hayes}, J. Number Theory 85, No. 2, 189--200 (2000; Zbl 1003.11024) Full Text: DOI
Krieg, Aloys On the Epstein zeta function. (English) Zbl 0810.11022 Result. Math. 25, No. 3-4, 339-340 (1994). Reviewer: E.Elizalde (Barcelona) MSC: 11E45 11M41 PDFBibTeX XMLCite \textit{A. Krieg}, Result. Math. 25, No. 3--4, 339--340 (1994; Zbl 0810.11022) Full Text: DOI
Zeilberger, Doron Identities in search of identity. (English) Zbl 0783.05007 Theor. Comput. Sci. 117, No. 1-2, 23-38 (1993). Reviewer: B.L.Raktoe (St.Augustine) MSC: 05A19 33C20 PDFBibTeX XMLCite \textit{D. Zeilberger}, Theor. Comput. Sci. 117, No. 1--2, 23--38 (1993; Zbl 0783.05007) Full Text: DOI
Kaneko, Masanobu A generalization of the Chowla-Selberg formula and the zeta functions of quadratic orders. (English) Zbl 0721.11046 Proc. Japan Acad., Ser. A 66, No. 7, 201-203 (1990). Reviewer: B.Z.Moroz (Bonn) MSC: 11R42 11G05 11R54 11R11 14H52 PDFBibTeX XMLCite \textit{M. Kaneko}, Proc. Japan Acad., Ser. A 66, No. 7, 201--203 (1990; Zbl 0721.11046) Full Text: DOI
Odlyzko, A. M.; Schönhage, A. Fast algorithms for multiple evaluations of the Riemann zeta function. (English) Zbl 0706.11047 Trans. Am. Math. Soc. 309, No. 2, 797-809 (1988). MSC: 11M06 11Y35 11M26 65E05 68Q25 11Y70 PDFBibTeX XMLCite \textit{A. M. Odlyzko} and \textit{A. Schönhage}, Trans. Am. Math. Soc. 309, No. 2, 797--809 (1988; Zbl 0706.11047) Full Text: DOI
Lachaud, Gilles On real quadratic fields. (English) Zbl 0635.12003 Bull. Am. Math. Soc., New Ser. 17, 307-311 (1987). Reviewer: Charles J. Parry MSC: 11R29 11R11 11E12 11E41 PDFBibTeX XMLCite \textit{G. Lachaud}, Bull. Am. Math. Soc., New Ser. 17, 307--311 (1987; Zbl 0635.12003) Full Text: DOI
Elstrodt, J. Note on the Selberg trace formula for the Picard group. (English) Zbl 0564.10034 Abh. Math. Semin. Univ. Hamb. 55, 207-209 (1985). Reviewer: Jürgen Elstrodt (Münster) MSC: 11F72 11R42 11F06 PDFBibTeX XMLCite \textit{J. Elstrodt}, Abh. Math. Semin. Univ. Hamb. 55, 207--209 (1985; Zbl 0564.10034) Full Text: DOI
Moreno, Carlos J. The value of \(L(1/2,\chi)\) for abelian L-functions of complex quadratic fields. (English) Zbl 0562.12015 J. Number Theory 18, 269-288 (1984). Reviewer: A.A.Terras MSC: 11R42 11M35 11F11 PDFBibTeX XMLCite \textit{C. J. Moreno}, J. Number Theory 18, 269--288 (1984; Zbl 0562.12015) Full Text: DOI
Wolfart, Jürgen Taylorentwicklungen automorpher Formen und ein Transzendenzproblem aus der Uniformisierungstheorie. (German) Zbl 0556.10020 Abh. Math. Semin. Univ. Hamb. 54, 25-33 (1984). Reviewer: K.Katayama MSC: 11F11 11F12 11F67 11J81 PDFBibTeX XMLCite \textit{J. Wolfart}, Abh. Math. Semin. Univ. Hamb. 54, 25--33 (1984; Zbl 0556.10020) Full Text: DOI
Ishikawa, Hirofumi Extended Epstein’s zeta functions over CM-fields. (English) Zbl 0555.10010 Proc. Japan Acad., Ser. A 60, 306-308 (1984). Reviewer: M.Peters MSC: 11E45 11R42 PDFBibTeX XMLCite \textit{H. Ishikawa}, Proc. Japan Acad., Ser. A 60, 306--308 (1984; Zbl 0555.10010) Full Text: DOI
Kuznetsov, N. V. Mean value of the Hecke series associated with the cusp forms of weight zero. (English) Zbl 0534.10022 J. Sov. Math. 24, 215-238 (1984). MSC: 11F67 11F11 11L40 PDFBibTeX XMLCite \textit{N. V. Kuznetsov}, J. Sov. Math. 24, 215--238 (1984; Zbl 0534.10022) Full Text: DOI
Moreno, Carlos Julio The Chowla-Selberg formula. (English) Zbl 0525.12012 J. Number Theory 17, 226-245 (1983). Reviewer: Audrey A. Terras (La Jolla) MSC: 11R42 11F41 11E45 11R80 11M35 PDFBibTeX XMLCite \textit{C. J. Moreno}, J. Number Theory 17, 226--245 (1983; Zbl 0525.12012) Full Text: DOI
Balasubramanian, R.; Murty, M. Ram An Omega-theorem for Ramanujan’s tau-function. (English) Zbl 0499.10024 Invent. Math. 68, 241-252 (1982). MSC: 11F11 11N37 PDFBibTeX XMLCite \textit{R. Balasubramanian} and \textit{M. R. Murty}, Invent. Math. 68, 241--252 (1982; Zbl 0499.10024) Full Text: DOI
Vinogradov, A. I.; Takhtadzhyan, L. A. Theory of Eisenstein series for the group SL(3,R) and its application to a binary problem. (English) Zbl 0476.10024 J. Sov. Math. 18, 293-324 (1982). MSC: 11F27 11N37 PDFBibTeX XMLCite \textit{A. I. Vinogradov} and \textit{L. A. Takhtadzhyan}, J. Sov. Math. 18, 293--324 (1982; Zbl 0476.10024) Full Text: DOI
Gross, Benedict H.; Zagier, Don On the critical values of Hecke \(L\)-series. (English) Zbl 0462.14015 Mém. Soc. Math. Fr., Nouv. Sér. 2, 49-54 (1980). Reviewer: R. J. Stroeker MSC: 14G10 11R42 11G10 14K15 PDFBibTeX XMLCite \textit{B. H. Gross} and \textit{D. Zagier}, Mém. Soc. Math. Fr., Nouv. Sér. 2, 49--54 (1980; Zbl 0462.14015) Full Text: DOI Numdam EuDML
Fomenko, O. M. Applications of the theory of modular forms to number theory. (English) Zbl 0446.10021 J. Sov. Math. 14, 1307-1362 (1980). MSC: 11F03 11-02 11F11 11F12 11F33 11F67 11E45 11N37 PDFBibTeX XMLCite \textit{O. M. Fomenko}, J. Sov. Math. 14, 1307--1362 (1980; Zbl 0446.10021) Full Text: DOI
Gross, Benedict H. On an identity of Chowla and Selberg. (English) Zbl 0418.14024 J. Number Theory 11, 344-348 (1979). MSC: 14K22 14H45 11G15 PDFBibTeX XMLCite \textit{B. H. Gross}, J. Number Theory 11, 344--348 (1979; Zbl 0418.14024) Full Text: DOI
Gross, Benedict H. [Rohrlich, D. E.] On the periods of Abelian integrals and a formula of Chowla and Selberg. With an appendix by David E. Rohrlich. (English) Zbl 0418.14023 Invent. Math. 45, 193-211 (1978). MSC: 14K22 14H10 14H25 11G15 PDFBibTeX XMLCite \textit{B. H. Gross}, Invent. Math. 45, 193--211 (1978; Zbl 0418.14023) Full Text: DOI EuDML
Goldfeld, Dorian An asymptotic formula relating the Siegel zero and the class number of quadratic fields. (English) Zbl 0327.10042 Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 2, 611-615 (1975). MSC: 11M35 11R11 11R23 PDFBibTeX XMLCite \textit{D. Goldfeld}, Ann. Sc. Norm. Super. Pisa, Cl. Sci., IV. Ser. 2, 611--615 (1975; Zbl 0327.10042) Full Text: Numdam EuDML
Shanks, Daniel Calculation and applications of Epstein zeta functions. (English) Zbl 0302.10035 Math. Comput. 29, 271-287 (1975). MSC: 11M35 11R42 11E16 11R11 11R16 11N05 11N13 PDFBibTeX XMLCite \textit{D. Shanks}, Math. Comput. 29, 271--287 (1975; Zbl 0302.10035) Full Text: DOI
Terras, Audrey A. Bessel series expansions of the Epstein zeta function and the functional equation. (English) Zbl 0274.10039 Trans. Am. Math. Soc. 183, 477-486 (1973). MSC: 11M35 33C10 PDFBibTeX XMLCite \textit{A. A. Terras}, Trans. Am. Math. Soc. 183, 477--486 (1973; Zbl 0274.10039) Full Text: DOI