Some p-Adic Integrals on ℤp Associated with Trigonometric Functions

被引：0

作者：

Dae San Kim

Taekyun Kim

机构：

[1] Sogang University,Department of Mathematics

[2] Kwangwoon University,Department of Mathematics

来源：

Russian Journal of Mathematical Physics | 2018年 / 25卷

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, we study some p-adic invariant and fermionic p-adic integrals on ℤp associated with trigonometric functions. By using these p-adic integrals we represent several trigonometric functions as a formal power series involving either Bernoulli or Euler numbers. In addition, we obtain some identities relating various special numbers like zigzag, some ‘trigonometric’, Bernoulli, Euler numbers, and Euler numbers of the second kind.

引用

页码：300 / 308

页数：8

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