• A new approximate functional equation for Hurwitz zeta function for rational parameter

• # Fulltext

https://www.ias.ac.in/article/fulltext/pmsc/107/04/0377-0385

• # Keywords

Hurwitz zeta function; DirichletL-series

• # Abstract

For Hurwitz zeta function ζ(s, (a/k)) witha = 1,2,3,…,k, we obtain a new simple approximate functional equation (uniform ink andt) in critical strip. Our method should prove to be an alternative approach to Atkinson’s method in dealing with$$\sum\nolimits_{x(\bmod q)} {\int_0^T {|L(s,x)|^2 } } dt$$, whereL(s, x) is Dirichlet L-series moduloq and s = σ +it.

• # Author Affiliations

1. Department of Mathematics, Institute of Science, 15, Madam Cama Road, Mumbai - 400 032, India

• # Proceedings – Mathematical Sciences

Current Issue
Volume 129 | Issue 3
June 2019