Gorodetsky, Ofir \(q\)-congruences, with applications to supercongruences and the cyclic sieving phenomenon. (English) Zbl 1423.11043 Int. J. Number Theory 15, No. 9, 1919-1968 (2019). MSC: 11B65 05A30 11A07 11B83 PDF BibTeX XML Cite \textit{O. Gorodetsky}, Int. J. Number Theory 15, No. 9, 1919--1968 (2019; Zbl 1423.11043) Full Text: DOI arXiv OpenURL
Goswami, Ankush A \(q\)-analogue for Euler’s evaluations of the Riemann zeta function. (English) Zbl 1459.11050 Res. Number Theory 5, No. 1, Paper No. 3, 11 p. (2019). Reviewer: Florian Luca (Johannesburg) MSC: 11B65 11B73 11M06 PDF BibTeX XML Cite \textit{A. Goswami}, Res. Number Theory 5, No. 1, Paper No. 3, 11 p. (2019; Zbl 1459.11050) Full Text: DOI arXiv OpenURL
Straub, Armin Supercongruences for polynomial analogs of the Apéry numbers. (English) Zbl 1442.11039 Proc. Am. Math. Soc. 147, No. 3, 1023-1036 (2019). Reviewer: Thomas Ernst (Uppsala) MSC: 11B65 05A30 11B83 PDF BibTeX XML Cite \textit{A. Straub}, Proc. Am. Math. Soc. 147, No. 3, 1023--1036 (2019; Zbl 1442.11039) Full Text: DOI arXiv OpenURL
Fischler, Stéphane Shidlovsky’s multiplicity estimate and irrationality of zeta values. (English) Zbl 1432.11084 J. Aust. Math. Soc. 105, No. 2, 145-172 (2018). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 11M06 34M03 PDF BibTeX XML Cite \textit{S. Fischler}, J. Aust. Math. Soc. 105, No. 2, 145--172 (2018; Zbl 1432.11084) Full Text: DOI arXiv OpenURL
Zudilin, Wadim A determinantal approach to irrationality. (English) Zbl 1367.11062 Constr. Approx. 45, No. 2, 301-310 (2017). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 30C10 PDF BibTeX XML Cite \textit{W. Zudilin}, Constr. Approx. 45, No. 2, 301--310 (2017; Zbl 1367.11062) Full Text: DOI arXiv OpenURL
Zudilin, Wadim On the irrationality of generalized \(q\)-logarithm. (English) Zbl 1415.11099 Res. Number Theory 2, Paper No. 15, 10 p. (2016). MSC: 11J72 11C20 33D15 41A20 PDF BibTeX XML Cite \textit{W. Zudilin}, Res. Number Theory 2, Paper No. 15, 10 p. (2016; Zbl 1415.11099) Full Text: DOI arXiv OpenURL
Hamieh, Alia; Murty, M. Ram A note on \(q\)-analogues of Dirichlet \(L\)-functions. (English) Zbl 1336.11052 Int. J. Number Theory 12, No. 3, 765-773 (2016). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J81 11F03 11F11 11J89 11G15 PDF BibTeX XML Cite \textit{A. Hamieh} and \textit{M. R. Murty}, Int. J. Number Theory 12, No. 3, 765--773 (2016; Zbl 1336.11052) Full Text: DOI OpenURL
Roques, Julien Generalized basic hypergeometric equations. (English) Zbl 1241.33017 Invent. Math. 184, No. 3, 499-528 (2011). Reviewer: Sunil Dutt Purohit (Udaipur) MSC: 33D90 39A13 11R32 05A30 PDF BibTeX XML Cite \textit{J. Roques}, Invent. Math. 184, No. 3, 499--528 (2011; Zbl 1241.33017) Full Text: DOI OpenURL
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 OpenURL
Jouhet, Frédéric; Mosaki, Elie Diophantine properties for \(q\)-analogues of Dirichlet’s beta function at positive integers. (English) Zbl 1217.11069 Trans. Am. Math. Soc. 363, No. 3, 1533-1554 (2011). Reviewer: József Sándor (Cluj-Napoca) MSC: 11J72 11M41 33D15 PDF BibTeX XML Cite \textit{F. Jouhet} and \textit{E. Mosaki}, Trans. Am. Math. Soc. 363, No. 3, 1533--1554 (2011; Zbl 1217.11069) Full Text: DOI arXiv OpenURL
Van Assche, Walter Hermite-Padé rational approximation to irrational numbers. (English) Zbl 1239.11078 Comput. Methods Funct. Theory 10, No. 2, 585-602 (2010). Reviewer: Peter Bundschuh (Köln) MSC: 11J72 11J82 41A21 PDF BibTeX XML Cite \textit{W. Van Assche}, Comput. Methods Funct. Theory 10, No. 2, 585--602 (2010; Zbl 1239.11078) Full Text: DOI OpenURL
Jouhet, Frédéric; Mosaki, Elie Irrationality of positive odd integers of a \(q\)-analogue of the Riemann zeta-function. (Irrationalité aux entiers impairs positifs d’un \(q\)-analogue de la fonction zêta de Riemann.) (English) Zbl 1204.11110 Int. J. Number Theory 6, No. 5, 959-988 (2010). Reviewer: Rolf Wallisser (Freiburg i. Br.) MSC: 11J72 33D15 11M36 11J82 PDF BibTeX XML Cite \textit{F. Jouhet} and \textit{E. Mosaki}, Int. J. Number Theory 6, No. 5, 959--988 (2010; Zbl 1204.11110) Full Text: DOI arXiv OpenURL
Fischler, Stéphane; Zudilin, Wadim A refinement of Nesterenko’s linear independence criterion with applications to zeta values. (English) Zbl 1206.11088 Math. Ann. 347, No. 4, 739-763 (2010). Reviewer: Peter Bundschuh (Köln) MSC: 11J72 PDF BibTeX XML Cite \textit{S. Fischler} and \textit{W. Zudilin}, Math. Ann. 347, No. 4, 739--763 (2010; Zbl 1206.11088) Full Text: DOI OpenURL
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 OpenURL
Koelink, Erik; van Assche, Walter Leonhard Euler and a \(q\)-analogue of the logarithm. (English) Zbl 1188.33006 Proc. Am. Math. Soc. 137, No. 5, 1663-1676 (2009). Reviewer: Tatiana Hessami Pilehrood (Shahrekord) MSC: 33B30 33D15 33E30 PDF BibTeX XML Cite \textit{E. Koelink} and \textit{W. van Assche}, Proc. Am. Math. Soc. 137, No. 5, 1663--1676 (2009; Zbl 1188.33006) Full Text: DOI arXiv OpenURL
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 OpenURL