Fourier Series Of the Derivatives of Hurwitz and Lerch Zeta Functions

Details Fourier Series Of the Derivatives of Hurwitz and Lerch Zeta Functions Fourier Series Of the Derivatives of Hurwitz and Lerch Zeta Functions

2008-08-04

arxiv.org/abs/0808.0467v2

Mathematics

Number Theory

9 pages

Scientific paper

As a function of second variable, we identify the Fourier series of Hurwitz
zeta function and its derivatives on the unit interval. Consequently, we obtain
results based on the formula for Fourier coefficients and also on Parseval's
theorem. We do likewise in the case of Lerch's zeta function and its
derivatives.

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