On the linear twist of degree 1 functions in the extended Selberg class

2019/03/14 by Zaghloul, Giamila
#11M41 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1903.06145

Abstract

Given a degree 1 function F\inS^\sharp and a real number α, we consider the linear twist F(s,α), proving that it satisfies a functional equation reflecting s into 1-s, which can be seen as a Hurwitz-Lerch type of functional equation. We also derive some results on the distribution of the zeros of the linear twist.

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