Euler's factorial series and global relations

JOURNAL OF NUMBER THEORY

卷:186

Article

Matala-aho, Tapani¹  Zudilin, Wadim^2,3 

[1] Matematiikka, PL 3000, Oulu 90014, Finland

[2] Radboud Univ Nijmegen, Inst Math Astrophys & Particle Phys, POB 9010, NL-6500 GL Nijmegen, Netherlands

[3] Univ Newcastle, Sch Math & Phys Sci, Callaghan, NSW 2308, Australia

关键词: Divergent series;    p-adic;    Pade approximation;   

DOI  :  10.1016/j.jnt.2017.09.026

来源: Elsevier

【 摘 要 】

Using Pade approximations to the series E(z) = Sigma(infinity)(k=0) k! (-z)(k), we address arithmetic and analytical questions related to its values in both p-adic and Archimedean valuations. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free