A cotangent sum related to zeros of the Estermann zeta function

Research paper by Michael Th. Rassias

Indexed on: 15 Dec '15Published on: 15 Dec '15Published in: Mathematics - Classical Analysis and ODEs


We consider a cotangent sum related to Estermann's Zeta function. We provide an elementary and self-contained improvement of the error term in an asymptotic formula proved by V. I. Vasyunin.