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 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Lepetit, Gabriel The André-Chudnovsky-Katz theorem in the broad sense. (Le théorème d’André-Chudnovsky-Katz au sens large.) (French) Zbl 1478.11097 North-West. Eur. J. Math. 7, 83-149 (2021). MSC: 11J91 34M03 34M35 × Cite Format Result Cite Review PDF Full Text: Link
Ferguson, Timothy Algebraic properties of Э-functions. (English) Zbl 1489.11106 J. Number Theory 229, 168-178 (2021). Reviewer: Tanguy Rivoal (Grenoble) MSC: 11J91 34G10 33F10 × Cite Format Result Cite Review PDF Full Text: DOI
Bertrand, Daniel The theorem of Siegel-Shidlovsky revisited. (Le théorème de Siegel-Shidlovsky revisité.) (French. English summary) Zbl 1282.11081 Goldfeld, Dorian (ed.) et al., Number theory, analysis and geometry. In memory of Serge Lang. Berlin: Springer (ISBN 978-1-4614-1259-5/hbk; 978-1-4614-1260-1/ebook). 51-67 (2012). Reviewer: Michel Waldschmidt (Paris) MSC: 11J81 × Cite Format Result Cite Review PDF Full Text: DOI
Beukers, F. A refined version of the Siegel-Shidlovskii theorem. (English) Zbl 1133.11044 Ann. Math. (2) 163, No. 1, 369-379 (2006). Reviewer: Zhu Yaochen (Beijing) MSC: 11J91 11J81 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Amou, Masaaki; Väänänen, Keijo Linear independence of the values of \(q\)-hypergeometric series and related functions. (English) Zbl 1095.11038 Ramanujan J. 9, No. 3, 317-339 (2005). Reviewer: Peter Bundschuh (Köln) MSC: 11J72 × Cite Format Result Cite Review PDF Full Text: DOI
André, Yves Arithmetic Gevrey series and transcendence. A survey. (English) Zbl 1136.11315 J. Théor. Nombres Bordx. 15, No. 1, 1-10 (2003). MSC: 11J81 × Cite Format Result Cite Review PDF Full Text: DOI Numdam EuDML
André, Yves Gevrey series of arithmetic type. I: Purity and duality theorems. (Séries Gevrey de type arithmétique. I: Théorèmes de pureté et de dualité.) (French) Zbl 1037.11049 Ann. Math. (2) 151, No. 2, 705-740 (2000). MSC: 11J81 34M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML Link