Remark on the Hurwitz-Lerch zeta function (Q2444815)
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| Language | Label | Description | Also known as |
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| English | Remark on the Hurwitz-Lerch zeta function |
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Remark on the Hurwitz-Lerch zeta function (English)
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11 April 2014
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By the Poisson summation formula, relating a function with its Fourier coefficients, the author obtaines the analytic continuation and a functional relation for a certain Lerch zeta function. The author also deduces \textit{T. M. Apostol}'s result [Pac. J. Math. 1, 161--167 (1951; Zbl 0043.07103)] about the Lerch zeta function and a functional relation for the Hurwitz zeta function from another functional equation of the Lerch zeta function.
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gamma function
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Riemann zeta function
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Hurwitz zeta function
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Poisson summation formula
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Lerch zeta function
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Hurwitz-Lerch zeta function
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