On The Hecke Eigenforms of Half-Integral Weight and Dedekind-Eta Products

2023/01/20 by Aydin, Banu Irez, Inam, Ilker
#11F11 #11F20 #11F30 #11F37 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2301.08461

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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