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- W1971333574 abstract "The main object of this paper is to present an easily accessible integral representation of the partial sum Lu(x,a)=∑0≦n≦x(n+a)u of the Hurwitz Zeta function ζ(−u,a), which entails a number of important implications for Lu(x,a) and ζ(−u,a) and for their derivatives. Furthermore, a new proof is given for a fundamental summation formula (contained in Theorem 3 below), which is shown to possess numerous further consequences and applications. Relevant connections of the results obtained here with those considered in many other earlier and recent works are also discussed." @default.
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- W1971333574 date "2004-07-01" @default.
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- W1971333574 title "Some integral and asymptotic formulas associated with the Hurwitz Zeta function" @default.
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- W1971333574 doi "https://doi.org/10.1016/s0096-3003(03)00740-9" @default.
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