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Hecke structure of spaces of half-integral weight cusp forms

Hecke structure of spaces of half-integral weight cusp forms

We investigate the connection between integral weight and half-integral weight modular forms. Building on results of Ueda [14], we obtain structure theorems for spaces of half-integral weight cusp forms S k/2 (4N ,χ ) where k and N are odd nonnegative integers with k ≥ 3, and χ is an …