Abstract
Abstract
Theorems on the bounded infinite linear independence of the values of generalized hypergeometric series whose parameters are transcendental polyadic Liouville numbers are presented. Problems of interest in the theory of polyadic numbers are formulated.
Reference17 articles.
1. A. G. Postnikov, Introduction to Analytic Number Theory (Nauka, Moscow, 1971
2. Am. Math. Soc., Providence, 1988).
3. A. B. Shidlovskii, Transcendental Numbers (Nauka, Moscow, 1987; Walter de Gruyter, Berlin, 1989).
4. 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).
5. F. Beukers, W. D. Brownawell, and G. Heckman, “Siegel normality,” Ann. Math. 127, 279–308 (1988).
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