Nonvanishing of L-Functions Associated to Cusp Forms of Half-Integral Weight

B Ramakrishnan,Karam Deo Shankhadhar

doi:10.1007/978-3-319-11352-4_16

Nonvanishing of L-Functions Associated to Cusp Forms of Half-Integral Weight

B Ramakrishnan, Karam Deo Shankhadhar

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https://doi.org/10.1007/978-3-319-11352-4_16

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Publication Date: Jan 1, 2014

Citations: 11

Affiliation: Harish-Chandra Research Institute, Institute of Mathematical Sciences

#Cusp Forms Of Half-integral Weight #Forms Of Half-integral Weight + Show 7 more

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Abstract

In this article, we prove nonvanishing 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 [4] to forms of half-integral weight.

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