Abstract
Corresponding to the lattice point problem for a random sphere Kendall and Rankin [8], Nakajima [9] considered the summatory function of the coefficients of the product of two Hurwitz zeta-functions and obtained the Bessel series expression. In this note we treat the case of the product of $\varkappa$ Hurwitz zeta-functions for an arbitrary integer $\varkappa\ge 2$ and obtain the expression in terms of the Voronoï-Steen function. This amounts to a refinement of corrected Nakajima’s formula with streamlining of the ambiguous argument.
Citation
Nian Liang Wang. Soumyarup Banerjee. "On the product of Hurwitz zeta-functions." Proc. Japan Acad. Ser. A Math. Sci. 93 (5) 31 - 36, May 2017. https://doi.org/10.3792/pjaa.93.31
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