The series sum from(n=1) to ∞(1/(n~(k 1))e(-z~(2k))/(n~(2k)))(oddk) and Riemann Zeta function |
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引用本文: | 吴云飞.The series sum from(n=1) to ∞(1/(n~(k 1))e(-z~(2k))/(n~(2k)))(oddk) and Riemann Zeta function[J].数学研究与评论,1986(1). |
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作者姓名: | 吴云飞 |
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作者单位: | Mathematics Depavtment |
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摘 要: | J.Tennenbaum discussed the function sum from n=1 to ∞() 1/n~2 e~(-2/n) in 1977.Zhang Nanyue discussed the function sum from n=1 to 1 () 1/n~2e~(-z~2/n~2) in 1983.Now we discuss the functions sum from n=1 to ∞ () 1/n~(k 1).e~(z~(2k)/n~(2k))(kpositive odd)in this paper which finds representations of two integrales about Riemann Zeta function
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