Arithmetic properties of Euler series

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• 作者：V. G. Chirskii
• 刊名：Moscow University Mathematics Bulletin
• 出版年：2015
• 出版时间：January 2015
• 年：2015
• 卷：70
• 期：1
• 页码：41-43
• 全文大小：420 KB
• 参考文献：1. Chirskii, V G (1990) On Global Relations. Matem. Zametki 48: pp. 123
  2. Bertrand, D, Chirskii, V, Yebbon, J (2004) Effective Estimates for Global Relations on Euler-Type Series. Ann. Fac. Sci. Toulouse XIII: pp. 241 CrossRef
  3. Nesterenko, Yu V (1994) Hermite-Pade Approximations of Generalized Hypergeometric Functions. Matem. Sborn 185: pp. 39
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  Russian Library of Science
  
• 出版者：Allerton Press, Inc. distributed exclusively by Springer Science+Business Media LLC
• ISSN：1934-8444

文摘

A lower bound for the p-adic valuation of the number E p = Σ n=1 ?/sup> n! ??sub class="a-plus-plus"> p defined by an Euler-type series is proved in the paper for infinitely many prime numbers p.