An explicit formula for Hecke $L$-functions

Details An explicit formula for Hecke $L$-functions An explicit formula for Hecke $L$-functions

2004-03-06

arxiv.org/abs/math/0403119v1

Mathematics

Number Theory

Scientific paper

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.

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