Non-vanishing of $L$-functions associated to cusp forms of half-integral weight

B. Ramakrishnan; Karam Deo Shankhadhar

Non-vanishing of $L$-functions associated to cusp forms of half-integral weight

Number Theory 2013-12-18 v1

Authors: B. Ramakrishnan , Karam Deo Shankhadhar

Abstract

In this article, we prove non-vanishing results for $L$ -functions associated to holomorphic cusp forms of half-integral weight on average (over an orthogonal basis of Hecke eigenforms). This extends a result of W. Kohnen to forms of half-integral weight.

Keywords

$L$-functions cusp forms half-integral weight non-vanishing Hecke eigenforms orthogonal basis

Cite

@article{arxiv.1312.4672,
  title  = {Non-vanishing of $L$-functions associated to cusp forms of half-integral weight},
  author = {B. Ramakrishnan and Karam Deo Shankhadhar},
  journal= {arXiv preprint arXiv:1312.4672},
  year   = {2013}
}

Comments

8 pages, Accepted for publication in Oman conference proceedings (Springer)

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