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This article is cited in 25 scientific papers (total in 25 papers)
On the arithmetic properties of generalized hypergeometric series with irrational parameters
V. G. Chirskii M. V. Lomonosov Moscow State University
Abstract:
We prove the existence of an infinite set
of primes $p$ such that the generalized
hypergeometric series with irrational
parameters in a number field $\mathbb{K}$
is not equal to zero in the algebraic
extension $\mathbb{K}_v$ of the field
of $p$-adic numbers, where $v$ is an
extension of the $p$-adic valuation
to $\mathbb{K}$.
Keywords:
generalized hypergeometric series, irrational numbers, $p$-adic numbers.
Received: 26.09.2013 Revised: 19.03.2014
Citation:
V. G. Chirskii, “On the arithmetic properties of generalized hypergeometric series with irrational parameters”, Izv. RAN. Ser. Mat., 78:6 (2014), 193–210; Izv. Math., 78:6 (2014), 1244–1260
Linking options:
https://www.mathnet.ru/eng/im8169https://doi.org/10.1070/IM2014v078n06ABEH002729 https://www.mathnet.ru/eng/im/v78/i6/p193
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Abstract page: | 394 | Russian version PDF: | 171 | English version PDF: | 2 | References: | 47 | First page: | 13 |
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