arXiv:math/0403119 Abstract

arXiv:math/0403119 [math.NT]Abstract References Reviews Resources

An explicit formula for Hecke $L$-functions

Published 2004-03-06Version 1

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 $k$ for Hecke congruence subgroups, lie on the critical line.

Categories: math.NT

Subjects: 11M26, 11M36

Keywords: explicit formula, hecke congruence subgroups, numbers implies, hecke polynomials, cusp forms

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