English

Sur l'annulation de la valeur centrale de la fonction L de Hecke

Number Theory 2016-12-13 v1

Abstract

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.

Keywords

Cite

@article{arxiv.1612.03323,
  title  = {Sur l'annulation de la valeur centrale de la fonction L de Hecke},
  author = {Quentin Gazda},
  journal= {arXiv preprint arXiv:1612.03323},
  year   = {2016}
}

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