Bernoulli Identities and Application to Euler Sums
博士 === 國立中正大學 === 數學研究所 === 92 === In this thesis we produce many Bernoulli identities. The important part is evaluation of the values at non-negative integers of zeta functions, and these values all have good expressions. By the Bernoulli identities involving Bernoulli polynomials, we ca...
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| Format: | Others |
| Language: | en_US |
| Published: |
2004
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| Online Access: | http://ndltd.ncl.edu.tw/handle/55669490133117006325 |
| Summary: | 博士 === 國立中正大學 === 數學研究所 === 92 === In this thesis we produce many Bernoulli identities. The important part is evaluation of the values at non-negative integers of zeta functions, and these values all have good expressions. By the Bernoulli identities involving Bernoulli polynomials, we can evaluate the Euler sums and extended Euler sums. Apple the same way on Euler polynomials, we get the some special sums.
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