Transcendence of p-Adic Values of Generalized Hypergeometric Series with Transcendental Polyadic Parameters
-
Published:2023-04
Issue:2
Volume:107
Page:109-111
-
ISSN:1064-5624
-
Container-title:Doklady Mathematics
-
language:en
-
Short-container-title:Dokl. Math.
Publisher
Pleiades Publishing Ltd
Subject
General Mathematics
Reference17 articles.
1. V. G. Chirskii, “New problems in the theory of transcendental polyadic numbers,” Dokl. Math. 106 (1), 265–267 (2022). https://doi.org/10.1134/S106456242204007X
2. A. B. Shidlovskii, Transcendental Numbers (Nauka, Moscow, 1987; Walter de Gruyter, Berlin, 1989).
3. V. Kh. Salikhov, “A criterion for the algebraic independence of values of a class of hypergeometric E-functions,” Math. USSR Sb. 69 (1), 203–226 (1991).
4. V. Kh. Salikhov, “Irreducibility of hypergeometric equations and algebraic independence of values of E-functions,” Acta Arith. 53, 453–471 (1990).
5. F. Beukers, W. D. Brownawell, and G. Heckman, “Siegel normality,” Ann. Math. 127, 279–308 (1988).