Sur l 'annulation de la valeur centrale de la fonction L de Hecke
Sur l'annulation de la valeur centrale de la fonction L de Hecke
摘要:
本文利用Henri Cohen和Winfried Kohnen的结果,证明了对所有大于12且能被4整除的整数k,全模群SL 2(Z)存在权为k的尖点特征形,使得它的Hecke L-函数在k/2上不为零.
英文摘要:
In this note, following results from Henri Cohen and Winfried Kohnen, we show that for all integer k greater than 12 and divisible by 4, there exists a cuspidal eigenform of weight k for the full modular group SL2(Z) such that its Hecke L-function does not vanish on k/2.
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