Some p-Adic Integrals on ℤp Associated with Trigonometric Functions

被引：0
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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
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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.
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页码：300 / 308
页数：8
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