ON POLY-EULER NUMBERS-Reference-Cited by-同舟云学术

ON POLY-EULER NUMBERS

Published:2016-11-03 Issue:1 Volume:103 Page:126-144
ISSN:1446-7887
Container-title:Journal of the Australian Mathematical Society
language:en
Short-container-title:J. Aust. Math. Soc.

Author:

OHNO YASUO,SASAKI YOSHITAKA

Abstract

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.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference13 articles.

1. [4] C. Brewbaker , ‘Lonesum $(0,1)$ -matrices and poly-Bernoulli numbers of negative index’, Master’s thesis, Iowa State University, 2005.

2. Lectures on Generating Functions

3. Periodicity on poly-Euler numbers and Vandiver type congruence for Euler numbers;Ohno;RIMS Kôkyûroku Bessatsu,2013

4. [7] N. Katz , Sequence number A003462 in On-line Encyclopedia of Integer Sequences, http://oeis.org/A003462.

5. Poly-Bernoulli numbers

Cited by 10 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Multiple $L$-values of level four, poly-Euler numbers, and related zeta functions;Tohoku Mathematical Journal;2024-09-01

2. Combinatorial aspects of poly-Bernoulli polynomials and poly-Euler numbers;Journal de théorie des nombres de Bordeaux;2023-01-27

3. On s-Stirling transform and poly-Cauchy numbers of the second kind with level 2;Aequationes mathematicae;2022-12-11

4. Stirling numbers with level $2$ and poly-Bernoulli numbers with level $2$;Publicationes Mathematicae Debrecen;2022-01-01

5. On q-poly-Bernoulli numbers arising from combinatorial interpretations;Aequationes mathematicae;2021-07-19