Pétréolle, Mathias; Sokal, Alan D.; Zhu, Bao-Xuan Lattice paths and branched continued fractions: an infinite sequence of generalizations of the Stieltjes-Rogers and Thron-Rogers polynomials, with coefficientwise Hankel-total positivity. (English) Zbl 1528.05001 Memoirs of the American Mathematical Society 1450. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6268-0/pbk; 978-1-4704-7683-0/ebook). v, 154 p. (2023). MSC: 05-02 33-02 05A15 05A19 42C05 33C05 33C20 33D05 05A20 05C30 05E05 15B05 15B48 30B70 30E05 44A60 11B68 11A55 11B75 PDFBibTeX XMLCite \textit{M. Pétréolle} et al., Lattice paths and branched continued fractions: an infinite sequence of generalizations of the Stieltjes-Rogers and Thron-Rogers polynomials, with coefficientwise Hankel-total positivity. Providence, RI: American Mathematical Society (AMS) (2023; Zbl 1528.05001) Full Text: DOI arXiv
Driver, Kathy (ed.); Holtz, Olga (ed.); Sokal, Alan (ed.) The Laguerre-Pólya class and combinatorics. Abstracts from the workshop held March 13–19, 2022. (English) Zbl 1506.00066 Oberwolfach Rep. 19, No. 1, 657-681 (2022). MSC: 00B05 00B25 30-06 05-06 26Cxx 30Dxx 05Cxx 11Mxx 32Axx 37Fxx 11Y65 15A15 15B05 30B70 30H15 33C45 42C05 82B20 82C20 PDFBibTeX XMLCite \textit{K. Driver} (ed.) et al., Oberwolfach Rep. 19, No. 1, 657--681 (2022; Zbl 1506.00066) Full Text: DOI
Hertling, Claus; Mase, Makiko The integral monodromy of isolated quasihomogeneous singularities. (English) Zbl 1518.11027 Algebra Number Theory 16, No. 4, 955-1024 (2022). Reviewer: Vladimir P. Kostov (Nice) MSC: 11C20 15B36 32S40 47A80 PDFBibTeX XMLCite \textit{C. Hertling} and \textit{M. Mase}, Algebra Number Theory 16, No. 4, 955--1024 (2022; Zbl 1518.11027) Full Text: DOI arXiv
Arens, Tilo; Busam, Rolf; Hettlich, Frank; Karpfinger, Christian; Stachel, Hellmuth Working book: Basic knowledge for the study of mathematics. Analysis and linear algebra with cross connections. Problems, hints, solutions and solution methods. 2nd edition. (Arbeitsbuch: Grundwissen Mathematikstudium. Analysis und Lineare Algebra mit Querverbindungen. Aufgaben, Hinweise, Lösungen und Lösungswege.) (German) Zbl 07485043 Cham: Springer (ISBN 978-3-662-63367-0/pbk). viii, 243 p. (2022). MSC: 00-01 00A35 15-01 26-01 PDFBibTeX XMLCite \textit{T. Arens} et al., Arbeitsbuch: Grundwissen Mathematikstudium. Analysis und Lineare Algebra mit Querverbindungen. Aufgaben, Hinweise, Lösungen und Lösungswege. 2nd edition. Cham: Springer (2022; Zbl 07485043)
Arens, Tilo; Busam, Rolf; Hettlich, Frank; Karpfinger, Christian; Stachel, Hellmuth [Lichtenegger, Klaus] Basic knowledge for the study of mathematics. Analysis and linear algebra with cross connections. With contributions by Klaus Lichtenegger. 2nd edition. (Grundwissen Mathematikstudium. Analysis und lineare Algebra mit Querverbindungen.) (German, English) Zbl 1480.00001 Berlin: Springer Spektrum (ISBN 978-3-662-63312-0/hbk; 978-3-662-63313-7/ebook). xi, 1182 p. (2021). MSC: 00-01 00A05 00A35 15-01 26-01 PDFBibTeX XMLCite \textit{T. Arens} et al., Grundwissen Mathematikstudium. Analysis und lineare Algebra mit Querverbindungen. 2nd edition. Berlin: Springer Spektrum (2021; Zbl 1480.00001) Full Text: DOI
Hajmohamadi, Monire; Lashkaripour, Rahmatollah; Bakherad, Mojtaba Improvements of Berezin number inequalities. (English) Zbl 07275246 Linear Multilinear Algebra 68, No. 6, 1218-1229 (2020). MSC: 47A30 15A60 30E20 47A12 PDFBibTeX XMLCite \textit{M. Hajmohamadi} et al., Linear Multilinear Algebra 68, No. 6, 1218--1229 (2020; Zbl 07275246) Full Text: DOI arXiv
Bakherad, Mojtaba; Lashkaripour, Rahmatollah; Yamancı, Ulas Complete refinements of the Berezin number inequalities. (English) Zbl 07176009 J. Math. Inequal. 13, No. 4, 1117-1128 (2019). MSC: 47A30 15A60 30E20 47A12 PDFBibTeX XMLCite \textit{M. Bakherad} et al., J. Math. Inequal. 13, No. 4, 1117--1128 (2019; Zbl 07176009) Full Text: DOI
Bakherad, Mojtaba; Garayev, Mubariz T. Berezin number inequalities for operators. (English) Zbl 07075291 Concr. Oper. 6, 33-43 (2019). MSC: 47A30 15A60 30E20 47A12 47B15 47B20 PDFBibTeX XMLCite \textit{M. Bakherad} and \textit{M. T. Garayev}, Concr. Oper. 6, 33--43 (2019; Zbl 07075291) Full Text: DOI
Cheng, Weidong; Guo, Xuejun Some new families of non-congruent numbers. (English) Zbl 1454.11109 J. Number Theory 196, 291-305 (2019). MSC: 11G05 11C20 15B33 15A03 PDFBibTeX XMLCite \textit{W. Cheng} and \textit{X. Guo}, J. Number Theory 196, 291--305 (2019; Zbl 1454.11109) Full Text: DOI
Fish, Alexander On Bohr sets of integer-valued traceless matrices. (English) Zbl 1392.37005 Proc. Am. Math. Soc. 146, No. 2, 625-636 (2018). Reviewer: Tobias Mühlenbruch (Hagen) MSC: 37A45 11C20 05D10 15B36 PDFBibTeX XMLCite \textit{A. Fish}, Proc. Am. Math. Soc. 146, No. 2, 625--636 (2018; Zbl 1392.37005) Full Text: DOI arXiv
Han, Guo-Niu Hankel continued fraction and its applications. (English) Zbl 1346.05002 Adv. Math. 303, 295-321 (2016). MSC: 05-04 05A15 11A55 11B50 11B85 11C20 11J82 11T99 11Y65 15-04 15A15 15B33 30B70 PDFBibTeX XMLCite \textit{G.-N. Han}, Adv. Math. 303, 295--321 (2016; Zbl 1346.05002) Full Text: DOI arXiv
Bora, Shreemayee; Srivastava, Ravi Distance problems for Hermitian matrix pencils with eigenvalues of definite type. (English) Zbl 1382.15018 SIAM J. Matrix Anal. Appl. 37, No. 1, 53-85 (2016). MSC: 15A22 15A18 15A60 47A56 65F15 65F30 PDFBibTeX XMLCite \textit{S. Bora} and \textit{R. Srivastava}, SIAM J. Matrix Anal. Appl. 37, No. 1, 53--85 (2016; Zbl 1382.15018) Full Text: DOI
Han, Guo-Niu Hankel determinant calculus for the Thue-Morse and related sequences. (English) Zbl 1302.05004 J. Number Theory 147, 374-395 (2015). MSC: 05A10 05A15 11B50 11B65 11B85 11C20 11J82 11Y65 15A15 30B70 PDFBibTeX XMLCite \textit{G.-N. Han}, J. Number Theory 147, 374--395 (2015; Zbl 1302.05004) Full Text: DOI arXiv
Anghel, Nicolae Determinant identities and the geometry of lines and circles. (English) Zbl 1313.51005 An. Științ. Univ. “Ovidius” Constanța, Ser. Mat. 22, No. 2, 37-49 (2014). MSC: 51M04 51N20 11C20 15A24 PDFBibTeX XMLCite \textit{N. Anghel}, An. Științ. Univ. ``Ovidius'' Constanța, Ser. Mat. 22, No. 2, 37--49 (2014; Zbl 1313.51005)
Yang, Jae-Hyun (ed.) Geometry, number theory and representation theory. Proceedings of the international conference, Inha University, Incheon, Republic of Korea, October 10–12, 2012. (English) Zbl 1284.00072 Seoul: KM Kyung Moon SA (ISBN 978-89-88615-35-5/pbk). 205 p. (2013). MSC: 00B25 14-06 11-06 13-06 32-06 53-06 15-06 22-06 PDFBibTeX XMLCite \textit{J.-H. Yang} (ed.), Geometry, number theory and representation theory. Proceedings of the international conference, Inha University, Incheon, Republic of Korea, October 10--12, 2012. Seoul: KM Kyung Moon SA (2013; Zbl 1284.00072)
Arens, Tilo; Busam, Rolf; Hettlich, Frank; Karpfinger, Christian; Stachel, Hellmuth [Lichtenegger, Klaus] Basic knowledge for the study of mathematics. Analysis and linear algebra with cross connections. With contributions by Klaus Lichtenegger. (Grundwissen Mathematikstudium. Analysis und Lineare Algebra mit Querverbindungen.) (German) Zbl 1279.00002 Heidelberg: Springer Spektrum (ISBN 978-3-8274-2308-5/hbk; 978-3-8274-2309-2/ebook). xii, 1172 p. (2013). Reviewer: Cristinel Mortici (Târgovişte) MSC: 00-01 00A35 15-01 26-01 PDFBibTeX XMLCite \textit{T. Arens} et al., Grundwissen Mathematikstudium. Analysis und Lineare Algebra mit Querverbindungen. Heidelberg: Springer Spektrum (2013; Zbl 1279.00002) Full Text: DOI
Arens, Tilo; Busam, Rolf; Hettlich, Frank; Karpfinger, Christian; Stachel, Hellmuth [Lichtenegger, Klaus] Working book: Basic knowledge for the study of mathematics. Analysis and linear algebra with cross connections. Problems, hints, solutions. With contributions by Klaus Lichtenegger. (Arbeitsbuch: Grundwissen Mathematikstudium. Analysis und Lineare Algebra mit Querverbindungen.) (German) Zbl 1279.00001 Heidelberg: Springer Spektrum (ISBN 978-3-8274-3001-4/pbk; 978-3-8274-3002-1/ebook). viii, 243 p. (2013). Reviewer: Cristinel Mortici (Târgovişte) MSC: 00-01 00A35 15-01 26-01 PDFBibTeX XMLCite \textit{T. Arens} et al., Arbeitsbuch: Grundwissen Mathematikstudium. Analysis und Lineare Algebra mit Querverbindungen. Heidelberg: Springer Spektrum (2013; Zbl 1279.00001)
Cigler, Johann A special class of Hankel determinants. arXiv:1302.4235 Preprint, arXiv:1302.4235 [math.CO] (2013). MSC: 15A15 30B70 11C20 05A15 BibTeX Cite \textit{J. Cigler}, ``A special class of Hankel determinants'', Preprint, arXiv:1302.4235 [math.CO] (2013) Full Text: arXiv OA License
Alves, João F.; Fachada, J. L.; Sousa Ramos, J. Dynamical zeta functions and kneading determinants: A linear algebra point of view. (English) Zbl 1104.37016 Linear Algebra Appl. 418, No. 2-3, 913-924 (2006). MSC: 37C30 37E05 11C20 15A15 PDFBibTeX XMLCite \textit{J. F. Alves} et al., Linear Algebra Appl. 418, No. 2--3, 913--924 (2006; Zbl 1104.37016) Full Text: DOI
Nikolski, N. K. Condition numbers of large matrices, and analytic capacities. (English) Zbl 1098.15002 St. Petersbg. Math. J. 17, No. 4, 641-682 (2006) and Algebra Anal. 17, No. 4, 125-180 (2005). Reviewer: Václav Burjan (Praha) MSC: 15A12 47A60 65F35 15A60 32A38 46J15 PDFBibTeX XMLCite \textit{N. K. Nikolski}, St. Petersbg. Math. J. 17, No. 4, 641--682 (2006; Zbl 1098.15002) Full Text: DOI
Kalman, Dan; White, James E. Polynomial equations and circulant matrices. (English) Zbl 1029.15021 Am. Math. Mon. 108, No. 9, 821-840 (2001). MSC: 15B57 12D10 26C10 30C15 15A18 11C08 PDFBibTeX XMLCite \textit{D. Kalman} and \textit{J. E. White}, Am. Math. Mon. 108, No. 9, 821--840 (2001; Zbl 1029.15021) Full Text: DOI
Pólya, George; Szegő, Gabor Problems and theorems in analysis II. Theory of functions, zeros, polynomials, determinants, number theory, geometry. Transl. from the German by C. E. Billigheimer. Reprint of the 1976 English translation. (English) Zbl 1024.00003 Classics in Mathematics. Berlin: Springer. xii, 392 p. (1998). MSC: 00A07 11-01 15-01 15A15 30-01 30C10 30C15 PDFBibTeX XMLCite \textit{G. Pólya} and \textit{G. Szegő}, Problems and theorems in analysis II. Theory of functions, zeros, polynomials, determinants, number theory, geometry. Transl. from the German by C. E. Billigheimer. Reprint of the 1976 English translation. Berlin: Springer (1998; Zbl 1024.00003)
Dym, Harry; Young, Nicholas A Schur-Cohn theorem for matrix polynomials. (English) Zbl 0727.15009 Proc. Edinb. Math. Soc., II. Ser. 33, No. 3, 337-366 (1990). Reviewer: M.Putinar (Riverside) MSC: 15A54 15A22 30C15 46C20 93D20 PDFBibTeX XMLCite \textit{H. Dym} and \textit{N. Young}, Proc. Edinb. Math. Soc., II. Ser. 33, No. 3, 337--366 (1990; Zbl 0727.15009) Full Text: DOI
Hironaka, Yumiko; Sato, Fumihiro Spherical functions and local densities of alternating forms. (English) Zbl 0597.43007 Math. Gottingensis, Schriftenr. Sonderforschungsbereichs Geom. Anal. 48, 1-51 (1986). Reviewer: I.G.Macdonald MSC: 43A90 33C55 22E35 33C80 20G25 11E45 43A85 15B33 11E08 PDFBibTeX XML
Styer, Robert Prime determinant matrices and the symplectic theta function. (English) Zbl 0548.10019 Am. J. Math. 106, 645-664 (1984). Reviewer: S.Böcherer MSC: 11F27 11C20 11E45 15B36 11R11 PDFBibTeX XMLCite \textit{R. Styer}, Am. J. Math. 106, 645--664 (1984; Zbl 0548.10019) Full Text: DOI
Demmel, James The condition number of equivalence transformations that block diagonalize matrix pencils. (English) Zbl 0509.65020 SIAM J. Numer. Anal. 20, 599-610 (1983). MSC: 65F35 15A12 15A18 15A60 47A60 65F15 PDFBibTeX XMLCite \textit{J. Demmel}, SIAM J. Numer. Anal. 20, 599--610 (1983; Zbl 0509.65020) Full Text: DOI
Demmel, James The condition number of equivalence transformations that block diagonalize matrix pencils. (English) Zbl 0503.65028 Matrix pencils, Proc. Conf., Pite Havsbad/Swed. 1982, Lect. Notes Math. 973, 2-16 (1983). MSC: 65F35 15A12 65F15 15A60 47A60 15A18 PDFBibTeX XML
Bashmakova, I. G.; Gnedenko, B. V.; Kuzicheva, Z. A.; Medvedev, F. A.; Ozhigova, E. P.; Parshin, A. N.; Rudakov, A. N.; Slavutin, E. I.; Sheĭnin, O. B.; Yushkevich, A. P. Kolmogorov, A. N. (ed.); Yushkevich, A. P. (ed.) XIXth century mathematics. Mathematical logic. Algebra. Number theory. Probability theory. Ed. by A. N. Kolmogorov and A. P. Yushkevich. (Математика {XIX} века. Математическая логика. Алгебра. Теория чисел. Теория вероятностей.) (Russian) Zbl 0523.01001 Moskva: “Nauka”. 255 p. R. 2.10 (1978). Reviewer: Ivor Grattan-Guinness (Bengeo) (M.R. 80i:01010) MSC: 01A05 01-02 01A55 03-03 11-03 15-03 60-03 PDFBibTeX XML
Pólya, G.; Szegö, G. Problems and theorems in analysis. Vol. II. Theory of functions – zeros – polynomials – determinants – number theory – geometry. Translation by C. E. Billigheimer. Revised and enlarged translation of the 4th ed. (English) Zbl 0359.00003 Springer Study Edition. New York - Heidelberg - Berlin: Springer-Verlag. xi, 391 pp. DM 32.20; $ 16.10 (1976). MSC: 00A05 00A07 11-01 15-01 15A15 30-01 30C10 30C15 PDFBibTeX XML
Zarrow, Robert A canonical form for symmetric and skew-symmetric extended symplectic modular matrices with applications to Riemann surface theory. (English) Zbl 0327.32010 Trans. Am. Math. Soc. 204, 207-227 (1975). MSC: 32G15 32G20 15B36 11C20 PDFBibTeX XMLCite \textit{R. Zarrow}, Trans. Am. Math. Soc. 204, 207--227 (1975; Zbl 0327.32010) Full Text: DOI
Dickson, Leonard Eugene The Madison Colloquium 1913. Part I: On invariants and the theory of numbers. (English) JFM 45.0206.01 Colloquium Publications. American Mathematical Society 4, Part I. Providence, RI: American Mathematical Society (AMS). 1-150 (1914). Reviewer: Lampe, Prof. (Berlin) MSC: 11-02 15-02 51-02 PDFBibTeX XML
Brioschi, F. On the substitutions of the form \(\theta(r)\equiv\varepsilon(r^{n 2}+ar^{\frac{n 3}{2}})\) for a prime number of letters. (Des substitutions de la forme \(\theta(r)\equiv\varepsilon(r^{n-2}+ar^{\frac{n-3}{2}})\) pour un nombre premier de lettres.) (French) JFM 02.0074.01 Gött. Nachr. 1869, 491-498 (1869); Clebsch Ann. II, 467-470 (1870). Reviewer: Netto, Dr. (Berlin) MSC: 14H05 15A04 11A41 32C05 13B10 15A72 PDFBibTeX XMLCite \textit{F. Brioschi}, Gött. Nachr. 1869, 491--498 (1869; JFM 02.0074.01) Full Text: EuDML