Branquinho, Amílcar; Foulquié-Moreno, Ana; Mañas, Manuel Spectral theory for bounded banded matrices with positive bidiagonal factorization and mixed multiple orthogonal polynomials. (English) Zbl 07765290 Adv. Math. 434, Article ID 109313, 48 p. (2023). MSC: 47B39 47B36 42C05 33C45 33C47 15B52 PDF BibTeX XML Cite \textit{A. Branquinho} et al., Adv. Math. 434, Article ID 109313, 48 p. (2023; Zbl 07765290) Full Text: DOI arXiv
Branquinho, Amílcar; Díaz, Juan E. F.; Foulquié-Moreno, Ana; Mañas, Manuel Hahn multiple orthogonal polynomials of type I: hypergeometric expressions. (English) Zbl 07725210 J. Math. Anal. Appl. 528, No. 1, Article ID 127471, 27 p. (2023). MSC: 33Cxx 42Cxx 41Axx PDF BibTeX XML Cite \textit{A. Branquinho} et al., J. Math. Anal. Appl. 528, No. 1, Article ID 127471, 27 p. (2023; Zbl 07725210) Full Text: DOI arXiv
Wang, Wei; Chen, Chao-Ping A double inequality for the Apéry constant. (English) Zbl 07690155 J. Math. Inequal. 17, No. 1, 11-29 (2023). MSC: 11Y60 40A05 PDF BibTeX XML Cite \textit{W. Wang} and \textit{C.-P. Chen}, J. Math. Inequal. 17, No. 1, 11--29 (2023; Zbl 07690155) Full Text: DOI
Chourasiya, Shashi; Jamal, Md Kashif; Maji, Bibekananda A new Ramanujan-type identity for \(L(2k+1, \chi_1)\). (English) Zbl 1517.11104 Ramanujan J. 60, No. 3, 729-750 (2023). Reviewer: Stelian Mihalas (Timişoara) MSC: 11M06 26C10 PDF BibTeX XML Cite \textit{S. Chourasiya} et al., Ramanujan J. 60, No. 3, 729--750 (2023; Zbl 1517.11104) Full Text: DOI arXiv
Aliev, Ilham A.; Dil, Ayhan Tornheim-like series, harmonic numbers, and zeta values. (English) Zbl 1510.11132 J. Integer Seq. 25, No. 5, Article 22.5.5, 12 p. (2022). Reviewer: Sami Omar (Sukhair) MSC: 11M32 40B05 PDF BibTeX XML Cite \textit{I. A. Aliev} and \textit{A. Dil}, J. Integer Seq. 25, No. 5, Article 22.5.5, 12 p. (2022; Zbl 1510.11132) Full Text: arXiv Link
Gupta, Anushree; Maji, Bibekananda On Ramanujan’s formula for \(\zeta(1/2)\) and \(\zeta(2m+1)\). (English) Zbl 1474.11145 J. Math. Anal. Appl. 507, No. 1, Article ID 125738, 24 p. (2022). MSC: 11M06 PDF BibTeX XML Cite \textit{A. Gupta} and \textit{B. Maji}, J. Math. Anal. Appl. 507, No. 1, Article ID 125738, 24 p. (2022; Zbl 1474.11145) Full Text: DOI arXiv
Chen, Chao-Ping Asymptotic results of the remainders in the series representations for the Apéry constant. (English) Zbl 1480.11165 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 28, 15 p. (2022). MSC: 11Y60 40A05 41A60 PDF BibTeX XML Cite \textit{C.-P. Chen}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 116, No. 1, Paper No. 28, 15 p. (2022; Zbl 1480.11165) Full Text: DOI
Chavan, Sarth An elementary proof of Ramanujan’s identity for odd zeta values. (English) Zbl 1499.11263 J. Class. Anal. 19, No. 2, 139-147 (2021). MSC: 11M06 PDF BibTeX XML Cite \textit{S. Chavan}, J. Class. Anal. 19, No. 2, 139--147 (2021; Zbl 1499.11263) Full Text: DOI arXiv
Hirata-Kohno, Noriko Diophantine approximation. (English. Japanese original) Zbl 1489.11102 Sugaku Expo. 34, No. 2, 205-229 (2021); translation from Sūgaku 64, No. 3, 254-277 (2012). Reviewer: Clemens Fuchs (Salzburg) MSC: 11J68 11J87 11J72 11J86 11-02 11J89 PDF BibTeX XML Cite \textit{N. Hirata-Kohno}, Sugaku Expo. 34, No. 2, 205--229 (2021; Zbl 1489.11102); translation from Sūgaku 64, No. 3, 254--277 (2012) Full Text: DOI
Dixit, Atul; Gupta, Rajat Koshliakov zeta functions I: modular relations. (English) Zbl 1485.11127 Adv. Math. 393, Article ID 108093, 41 p. (2021). Reviewer: Roma Kačinskaitė (Kaunas) MSC: 11M06 11M99 33E99 PDF BibTeX XML Cite \textit{A. Dixit} and \textit{R. Gupta}, Adv. Math. 393, Article ID 108093, 41 p. (2021; Zbl 1485.11127) Full Text: DOI arXiv
Murty, M. Ram; Pathak, Siddhi S. A note on values of the Dedekind zeta-function at odd positive integers. (English) Zbl 1477.11191 Int. J. Number Theory 17, No. 8, 1753-1764 (2021). Reviewer: Władysław Narkiewicz (Wrocław) MSC: 11R42 11R11 11M41 PDF BibTeX XML Cite \textit{M. R. Murty} and \textit{S. S. Pathak}, Int. J. Number Theory 17, No. 8, 1753--1764 (2021; Zbl 1477.11191) Full Text: DOI
Lai, Li; Yu, Pin A note on the number of irrational odd zeta values. (English) Zbl 1460.11103 Compos. Math. 156, No. 8, 1699-1717 (2020). Reviewer: József Sándor (Cluj-Napoca) MSC: 11J72 11M06 33C20 PDF BibTeX XML Cite \textit{L. Lai} and \textit{P. Yu}, Compos. Math. 156, No. 8, 1699--1717 (2020; Zbl 1460.11103) Full Text: DOI arXiv
Murty, M. Ram; Pathak, Siddhi Convolution of values of the Lerch zeta-function. (English) Zbl 1454.11165 J. Number Theory 217, 1-22 (2020). Reviewer: István Mező (Nanjing) MSC: 11M35 11M32 PDF BibTeX XML Cite \textit{M. R. Murty} and \textit{S. Pathak}, J. Number Theory 217, 1--22 (2020; Zbl 1454.11165) Full Text: DOI
Dixit, Atul; Gupta, Rajat; Kumar, Rahul; Maji, Bibekananda Generalized Lambert series, Raabe’s cosine transform and a generalization of Ramanujan’s formula for \(\zeta (2m+1)\). (English) Zbl 1462.11064 Nagoya Math. J. 239, 232-293 (2020). Reviewer: Khristo N. Boyadzhiev (Ada) MSC: 11M06 11J81 PDF BibTeX XML Cite \textit{A. Dixit} et al., Nagoya Math. J. 239, 232--293 (2020; Zbl 1462.11064) Full Text: DOI
Rivoal, Tanguy; Zudilin, Wadim A note on odd zeta values. (English) Zbl 1470.11203 Sémin. Lothar. Comb. 81, Article B81b, 13 p. (2020). MSC: 11J72 11M06 33C20 PDF BibTeX XML Cite \textit{T. Rivoal} and \textit{W. Zudilin}, Sémin. Lothar. Comb. 81, Article B81b, 13 p. (2020; Zbl 1470.11203) Full Text: arXiv Link
Dixit, Atul; Maji, Bibekananda Generalized Lambert series and arithmetic nature of odd zeta values. (English) Zbl 1437.11124 Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 741-769 (2020). Reviewer: Florian Luca (Johannesburg) MSC: 11M06 11J81 PDF BibTeX XML Cite \textit{A. Dixit} and \textit{B. Maji}, Proc. R. Soc. Edinb., Sect. A, Math. 150, No. 2, 741--769 (2020; Zbl 1437.11124) Full Text: DOI arXiv
Fischler, Stéphane; Sprang, Johannes; Zudilin, Wadim Many odd zeta values are irrational. (English) Zbl 1430.11097 Compos. Math. 155, No. 5, 938-952 (2019). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 11M06 33C20 PDF BibTeX XML Cite \textit{S. Fischler} et al., Compos. Math. 155, No. 5, 938--952 (2019; Zbl 1430.11097) Full Text: DOI arXiv Backlinks: MO
Dupont, Clément Relative cohomology of bi-arrangements. (English) Zbl 1401.14047 Trans. Am. Math. Soc. 369, No. 11, 8105-8160 (2017). MSC: 14C30 14N20 52C35 32S22 PDF BibTeX XML Cite \textit{C. Dupont}, Trans. Am. Math. Soc. 369, No. 11, 8105--8160 (2017; Zbl 1401.14047) Full Text: DOI arXiv
Genčev, Marian Generalization of the non-local derangement identity and applications to multiple zeta-type series. (English) Zbl 1427.11080 Monatsh. Math. 184, No. 2, 217-243 (2017). MSC: 11M32 11M35 PDF BibTeX XML Cite \textit{M. Genčev}, Monatsh. Math. 184, No. 2, 217--243 (2017; Zbl 1427.11080) Full Text: DOI
Dauguet, Simon Quantitative generalizations of Nesterenkos’s linear independence criterion. (Généralisations quantitatives du critère d’indépendance linéaire de Nesterenko.) (French. English summary) Zbl 1387.11040 J. Théor. Nombres Bordx. 27, No. 2, 483-498 (2015). MSC: 11J13 11J72 11J82 PDF BibTeX XML Cite \textit{S. Dauguet}, J. Théor. Nombres Bordx. 27, No. 2, 483--498 (2015; Zbl 1387.11040) Full Text: DOI
Allouche, J.-P. Paperfolding infinite products and the gamma function. (English) Zbl 1320.11023 J. Number Theory 148, 95-111 (2015). MSC: 11B85 11B83 11A63 11J81 33B15 68R15 PDF BibTeX XML Cite \textit{J. P. Allouche}, J. Number Theory 148, 95--111 (2015; Zbl 1320.11023) Full Text: DOI arXiv
Choi, Junesang Rapidly converging series for \(\zeta(2 n + 1)\) from Fourier series. (English) Zbl 1469.11283 Abstr. Appl. Anal. 2014, Article ID 457620, 9 p. (2014). MSC: 11M06 11Y60 PDF BibTeX XML Cite \textit{J. Choi}, Abstr. Appl. Anal. 2014, Article ID 457620, 9 p. (2014; Zbl 1469.11283) Full Text: DOI
Dauguet, Simon; Zudilin, Wadim On simultaneous Diophantine approximations to \(\zeta(2)\) and \(\zeta(3)\). (English) Zbl 1315.11062 J. Number Theory 145, 362-387 (2014). Reviewer: Yaochen Zhu (Beijing) MSC: 11J82 11J72 33C20 PDF BibTeX XML Cite \textit{S. Dauguet} and \textit{W. Zudilin}, J. Number Theory 145, 362--387 (2014; Zbl 1315.11062) Full Text: DOI arXiv
Minh, Hoang Ngoc Structure of polyzetas and Lyndon words. (English) Zbl 1296.05204 Vietnam J. Math. 41, No. 4, 409-450 (2013). MSC: 05E15 11M32 37F25 68W30 PDF BibTeX XML Cite \textit{H. N. Minh}, Vietnam J. Math. 41, No. 4, 409--450 (2013; Zbl 1296.05204) Full Text: DOI
Choi, Junesang; Chen, Chao-Ping Certain relationships among polygamma functions, Riemann zeta function and generalized zeta function. (English) Zbl 1288.11081 J. Inequal. Appl. 2013, Paper No. 75, 11 p. (2013). Reviewer: Mehmet Cenkci (Antalya) MSC: 11M06 33B15 40A05 26D07 PDF BibTeX XML Cite \textit{J. Choi} and \textit{C.-P. Chen}, J. Inequal. Appl. 2013, Paper No. 75, 11 p. (2013; Zbl 1288.11081) Full Text: DOI
Lagarias, Jeffrey C. Euler’s constant: Euler’s work and modern developments. (English) Zbl 1282.11002 Bull. Am. Math. Soc., New Ser. 50, No. 4, 527-628 (2013). Reviewer: Franz Lemmermeyer (Jagstzell) MSC: 11-02 11-03 01A50 11Y60 11J72 11J81 11M06 PDF BibTeX XML Cite \textit{J. C. Lagarias}, Bull. Am. Math. Soc., New Ser. 50, No. 4, 527--628 (2013; Zbl 1282.11002) Full Text: DOI arXiv
Hunt, David Life and mathematics of Alfred Jacobus van der Poorten (1942–2010). (English) Zbl 1275.01012 Borwein, Jonathan M. (ed.) et al., Number theory and related fields. In memory of Alf van der Poorten. Based on the proceedings of the international number theory conference, Newcastle, Australia, March 12–16, 2012. New York, NY: Springer (ISBN 978-1-4614-6641-3/hbk; 978-1-4614-6642-0/ebook). Springer Proceedings in Mathematics & Statistics 43, 1-53 (2013). MSC: 01A70 11-03 PDF BibTeX XML Cite \textit{D. Hunt}, Springer Proc. Math. Stat. 43, 1--53 (2013; Zbl 1275.01012) Full Text: DOI
Hessami Pilehrood, Kh.; Hessami Pilehrood, T. On a continued fraction expansion for Euler’s constant. (English) Zbl 1275.11103 J. Number Theory 133, No. 2, 769-786 (2013). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 11J70 11Y60 33C60 11B37 11J04 PDF BibTeX XML Cite \textit{Kh. Hessami Pilehrood} and \textit{T. Hessami Pilehrood}, J. Number Theory 133, No. 2, 769--786 (2013; Zbl 1275.11103) Full Text: DOI arXiv
Lima, F. M. S. An Euler-type formula for \(\beta (2n)\) and closed-form expressions for a class of zeta series. (English) Zbl 1269.30004 Integral Transforms Spec. Funct. 23, No. 9, 649-657 (2012). Reviewer: Renata Macaitiene (Vilnius) MSC: 30B50 11M36 65D15 PDF BibTeX XML Cite \textit{F. M. S. Lima}, Integral Transforms Spec. Funct. 23, No. 9, 649--657 (2012; Zbl 1269.30004) Full Text: DOI arXiv
Hessami Pilehrood, Kh.; Hessami Pilehrood, T. A \(q\)-analogue of the Bailey-Borwein-Bradley identity. (English) Zbl 1254.11023 J. Symb. Comput. 46, No. 6, 699-711 (2011). Reviewer: Peter Bundschuh (Köln) MSC: 11B65 05A30 11M32 PDF BibTeX XML Cite \textit{Kh. Hessami Pilehrood} and \textit{T. Hessami Pilehrood}, J. Symb. Comput. 46, No. 6, 699--711 (2011; Zbl 1254.11023) Full Text: DOI arXiv
Smet, Christophe; van Assche, Walter Mellin transforms for multiple Jacobi-Piñeiro polynomials and a \(q\)-analogue. (English) Zbl 1202.33007 J. Approx. Theory 162, No. 4, 782-806 (2010). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 33C05 42C05 33C45 PDF BibTeX XML Cite \textit{C. Smet} and \textit{W. van Assche}, J. Approx. Theory 162, No. 4, 782--806 (2010; Zbl 1202.33007) Full Text: DOI
Nesterenko, Yuri V. Construction of approximations to zeta-values. (English) Zbl 1254.11071 Schlickewei, Hans Peter (ed.) et al., Diophantine approximation. Festschrift for Wolfgang Schmidt. Based on lectures given at a conference at the Erwin Schrödinger Institute, Vienna, Austria, 2003. Wien: Springer (ISBN 978-3-211-74279-2/hbk). Developments in Mathematics 16, 275-293 (2008). MSC: 11J72 11G55 11M06 PDF BibTeX XML Cite \textit{Y. V. Nesterenko}, Dev. Math. 16, 275--293 (2008; Zbl 1254.11071) Full Text: DOI
Fischler, S. Multiple series connected to Hoffman’s conjecture on multiple zeta values. (English) Zbl 1186.11051 J. Algebra 320, No. 4, 1682-1703 (2008). Reviewer: Wadim Zudilin (Bonn) MSC: 11M32 33C70 11J72 11J91 11M06 11M41 33B30 33C20 PDF BibTeX XML Cite \textit{S. Fischler}, J. Algebra 320, No. 4, 1682--1703 (2008; Zbl 1186.11051) Full Text: DOI arXiv
Postelmans, Kelly; Van Assche, Walter Irrationality of \(\zeta _{q}(1)\) and \(\zeta _{q}(2)\). (English) Zbl 1138.11027 J. Number Theory 126, No. 1, 119-154 (2007). Reviewer: Wadim Zudilin (Moskva) MSC: 11J72 11M06 11M41 11J82 33D45 41A28 42C05 PDF BibTeX XML Cite \textit{K. Postelmans} and \textit{W. Van Assche}, J. Number Theory 126, No. 1, 119--154 (2007; Zbl 1138.11027) Full Text: DOI arXiv
Dwilewicz, Roman; Mináč, Ján The Hurwitz zeta function as a convergent series. (English) Zbl 1193.11080 Rocky Mt. J. Math. 36, No. 4, 1191-1219 (2006). MSC: 11M35 11B68 11M06 PDF BibTeX XML Cite \textit{R. Dwilewicz} and \textit{J. Mináč}, Rocky Mt. J. Math. 36, No. 4, 1191--1219 (2006; Zbl 1193.11080) Full Text: DOI Euclid
Hessami Pilehrood, T.; Hessami Pilehrood, Kh. Irrationality of the sums of zeta values. (English) Zbl 1112.11035 Math. Notes 79, No. 4, 561-571 (2006); translation from Mat. Zametki 79, No. 4, 607-618 (2006). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 PDF BibTeX XML Cite \textit{T. Hessami Pilehrood} and \textit{Kh. Hessami Pilehrood}, Math. Notes 79, No. 4, 561--571 (2006; Zbl 1112.11035); translation from Mat. Zametki 79, No. 4, 607--618 (2006) Full Text: DOI
Zudilin, Wadim Well-poised hypergeometric series for Diophantine problems of zeta values. (English) Zbl 1156.11326 J. Théor. Nombres Bordx. 15, No. 2, 593-626 (2003). MSC: 11J72 11J81 33C20 PDF BibTeX XML Cite \textit{W. Zudilin}, J. Théor. Nombres Bordx. 15, No. 2, 593--626 (2003; Zbl 1156.11326) Full Text: DOI Numdam EuDML
Fischler, S.; Rivoal, T. Padé approximants and balanced hypergeometric series. (Approximants de Padé et séries hypergéométriques équilibrées.) (French) Zbl 1064.11053 J. Math. Pures Appl., IX. Sér. 82, No. 10, 1369-1394 (2003). Reviewer: François Gramain (Saint-Etienne) MSC: 11J72 11J91 PDF BibTeX XML Cite \textit{S. Fischler} and \textit{T. Rivoal}, J. Math. Pures Appl. (9) 82, No. 10, 1369--1394 (2003; Zbl 1064.11053) Full Text: DOI