ON POLY-EULER NUMBERS

被引：10

作者：

Ohno, Yasuo ^{[1
]}

Sasaki, Yoshitaka ^{[2
]}

机构：

[1] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

[2] Osaka Univ Hlth & Sport Sci, Liberal Arts Educ Ctr, Asashirodai 1-1, Kumatori, Osaka 5900496, Japan

来源：

JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY | 2017年 / 103卷 / 01期

关键词：

Euler number; poly-Euler number; poly-Bernoulli number; Clausen-von Staudt theorem; BERNOULLI NUMBERS;

D O I：

10.1017/S1446788716000495

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Poly-Euler numbers are introduced as a generalization of the Euler numbers in a manner similar to the introduction of the poly-Bernoulli numbers. In this paper, some number-theoretic properties of poly-Euler numbers, for example, explicit formulas, a Clausen-von Staudt type formula, congruence relations and duality formulas, are given together with their combinatorial properties.

引用

页码：126 / 144

页数：19

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