An Explicit Formula for the Euler Product of Hecke Polynomials
نویسندگان
چکیده
An explicit formula is given for a sequence of numbers by using the Eichler-Selberg trace formula. A criterion is obtained by using these numbers for the location of nontrivial zeros of Hecke L-functions, which are associated with a family of cusp forms of weight 2.
منابع مشابه
An Explicit Formula for Hecke L-functions
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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تاریخ انتشار 2004