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

2013/12/17 by B. Ramakrishnan, Ramakrishnan, B., Karam Deo Shankhadhar +1 · 1 citation
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1312.4672

openalex publication_date 2013/12/17 · openalex created_date 2022/08/02 · openalex updated_date 2026/07/28

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.

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• Second Moment of Central Values of Half-Integral Weight Modular Forms and Subconvexity

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