Identities and congruences involving Euler polynomials and Euler numbers

博士 === 國立中正大學 === 應用數學研究所 === 89 === In this paper, we prove a formula for special value of certain L-functions at non-positive integers, then obtain many new identities involving Euler polynomials and Euler numbers. We also investigate congruence properti...

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Bibliographic Details
Main Authors: Yu Yang Liu, 劉宇陽
Other Authors: Minking Eie
Format: Others
Language:en_US
Published: 2001
Online Access:http://ndltd.ncl.edu.tw/handle/73878563950622028682
Description
Summary:博士 === 國立中正大學 === 應用數學研究所 === 89 === In this paper, we prove a formula for special value of certain L-functions at non-positive integers, then obtain many new identities involving Euler polynomials and Euler numbers. We also investigate congruence properties of Euler numbers and obtain a special property of congruence of Euler numbers modulo the power of 2.