Abstract
Let $R_{\psi}$ be a twisting operator for a quadratic primitive character $\psi$ and $\tilde{T}(n^2)$ the $n^2$-th Hecke operator of half-integral weight. When $\psi$ has an odd conductor, we already found trace identities between twisted Hecke operators $R_{\psi} \tilde{T}(n^2)$ of half-integral weight and certain Hecke operators of integral weight for almost all cases (cf. [U1--3]). In this paper, the restriction is removed and we give similar trace identities for every quadratic primitive character $\psi$, including the case that $\psi$ has an even conductor.
Citation
Masaru Ueda. "Trace identities of twisted Hecke operators on the spaces of cusp forms of half-integral weight." Proc. Japan Acad. Ser. A Math. Sci. 80 (7) 131 - 135, Sept. 2004. https://doi.org/10.3792/pjaa.80.131
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