English

An explicit formula for Hecke $L$-functions

Number Theory 2016-09-07 v1

Abstract

In this paper an explicit formula is given for a sequence of numbers. The positivity of this sequence of numbers implies that zeros in the critical strip of the Euler product of Hecke polynomials, which are associated with the space of cusp forms of weight kk for Hecke congruence subgroups, lie on the critical line.

Keywords

Cite

@article{arxiv.math/0403119,
  title  = {An explicit formula for Hecke $L$-functions},
  author = {Xian-Jin Li},
  journal= {arXiv preprint arXiv:math/0403119},
  year   = {2016}
}