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On The Hecke Eigenforms of Half-Integral Weight and Dedekind-Eta Products
Published 20 Jan 2023 in math.NT | (2301.08461v1)
Abstract: Systematic choice of the Hecke eigenforms of half-integral weight is an interesting problem in the theory of modular forms. In this paper, we find all Dedekind-eta products of half-integral weight which are Hecke eigenforms up to weight 15/2 with varying levels. Proof is based on the Shimura lift.
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