Fischler, S.; Rivoal, T. A note on \(G\)-operators of order 2. (English) Zbl 07600233 Colloq. Math. 170, No. 2, 321-340 (2022). MSC: 11-XX 33E20 34M15 34M35 11J91 PDFBibTeX XMLCite \textit{S. Fischler} and \textit{T. Rivoal}, Colloq. Math. 170, No. 2, 321--340 (2022; Zbl 07600233) Full Text: DOI arXiv
Rivoal, Tanguy Factors of \(E\)-operators with an \(\eta\)-apparent singularity at zero. (English) Zbl 1503.11105 J. Math. Soc. Japan 74, No. 3, 719-733 (2022). Reviewer: Michel Waldschmidt (Paris) MSC: 11J91 33E30 34M05 PDFBibTeX XMLCite \textit{T. Rivoal}, J. Math. Soc. Japan 74, No. 3, 719--733 (2022; Zbl 1503.11105) Full Text: DOI
Rivoal, T.; Roques, J. Siegel’s problem for \(E\)-functions of order 2. (English) Zbl 07615278 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, 473-488 (2021). Reviewer: Yoshihiro Aihara (Fukushima) MSC: 11J91 14F10 11J81 PDFBibTeX XMLCite \textit{T. Rivoal} and \textit{J. Roques}, Springer Proc. Math. Stat. 373, 473--488 (2021; Zbl 07615278) Full Text: DOI
Bostan, Alin; Rivoal, Tanguy; Salvy, Bruno Explicit degree bounds for right factors of linear differential operators. (English) Zbl 1505.34128 Bull. Lond. Math. Soc. 53, No. 1, 53-62 (2021). Reviewer: Tsvetana Stoyanova (Sofia) MSC: 34M15 12H05 16S32 34M03 PDFBibTeX XMLCite \textit{A. Bostan} et al., Bull. Lond. Math. Soc. 53, No. 1, 53--62 (2021; Zbl 1505.34128) Full Text: DOI arXiv
Fischler, Stéphane; Rivoal, Tanguy Linear independence of values of \(G\)-functions. (English) Zbl 1446.11136 J. Eur. Math. Soc. (JEMS) 22, No. 5, 1531-1576 (2020). Reviewer: Jaroslav Hančl (Ostrava) MSC: 11J72 34M35 41A60 PDFBibTeX XMLCite \textit{S. Fischler} and \textit{T. Rivoal}, J. Eur. Math. Soc. (JEMS) 22, No. 5, 1531--1576 (2020; Zbl 1446.11136) Full Text: DOI arXiv
Fischler, S.; Rivoal, T. Rational approximation to values of \(G\)-functions, and their expansions in integer bases. (English) Zbl 1393.11054 Manuscr. Math. 155, No. 3-4, 579-595 (2018); erratum ibid. 155, No. 3-4, 597-598 (2018). Reviewer: Peter Bundschuh (Köln) MSC: 11J82 11A63 11J25 11J91 PDFBibTeX XMLCite \textit{S. Fischler} and \textit{T. Rivoal}, Manuscr. Math. 155, No. 3--4, 579--595 (2018; Zbl 1393.11054) Full Text: DOI arXiv
Fischler, Stéphane; Rivoal, Tanguy On the denominators of the Taylor coefficients of \(G\)-functions. (English) Zbl 1415.11098 Kyushu J. Math. 71, No. 2, 287-298 (2017). MSC: 11J72 12H25 PDFBibTeX XMLCite \textit{S. Fischler} and \textit{T. Rivoal}, Kyushu J. Math. 71, No. 2, 287--298 (2017; Zbl 1415.11098) Full Text: DOI arXiv
Rivoal, Tanguy; Roques, Julien Holomorphic solutions of \(E\)-operators. (English) Zbl 1430.11103 Isr. J. Math. 220, No. 1, 275-282 (2017). MSC: 11J91 30B10 33E30 PDFBibTeX XMLCite \textit{T. Rivoal} and \textit{J. Roques}, Isr. J. Math. 220, No. 1, 275--282 (2017; Zbl 1430.11103) Full Text: DOI
Rivoal, Tanguy Simultaneous Padé approximants to the Euler, exponential and logarithmic functions. (English. French summary) Zbl 1326.41025 J. Théor. Nombres Bordx. 27, No. 2, 565-589 (2015). MSC: 41A21 33C45 33C20 11J72 PDFBibTeX XMLCite \textit{T. Rivoal}, J. Théor. Nombres Bordx. 27, No. 2, 565--589 (2015; Zbl 1326.41025) Full Text: DOI Numdam
Rivoal, Tanguy Hypergeometric series and irrationality of the values of the Riemann zeta function. (Séries hypergéométriques et irrationalité des valeurs de la fonction zêta de Riemann.) (French) Zbl 1041.11051 J. Théor. Nombres Bordx. 15, No. 1, 351-365 (2003). Reviewer: John H. Loxton (North Ryde) MSC: 11J72 11M06 33C05 PDFBibTeX XMLCite \textit{T. Rivoal}, J. Théor. Nombres Bordx. 15, No. 1, 351--365 (2003; Zbl 1041.11051) Full Text: DOI Numdam EuDML