Some New Bernoulli Identities

碩士 === 國立中正大學 === 數學研究所 === 90 === In this paper, we use a special method to decompose the rational function into the other types. According to the different decomposition we could find the zeta functions associated with these rational functions. This provides a convenient way to produce...

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Bibliographic Details
Main Authors: Yung-Chang Sun, 孫永昌
Other Authors: Minking Eie
Format: Others
Language:en_US
Published: 2002
Online Access:http://ndltd.ncl.edu.tw/handle/46085682351961105165
Description
Summary:碩士 === 國立中正大學 === 數學研究所 === 90 === In this paper, we use a special method to decompose the rational function into the other types. According to the different decomposition we could find the zeta functions associated with these rational functions. This provides a convenient way to produce more different Bernoulli identities by evaluting the special values at negative integers of zeta functions associated with rational functions. In Part (II), we use some examples which appear in the new research by Eie, and the paper will be published shortly.