Trace formula of twisting operators of half-integral weight in the case of even conductors
Ueda, Masaru
Proc. Japan Acad. Ser. A Math. Sci., Tome 79 (2003) no. 3, p. 85-88 / Harvested from Project Euclid
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Let $S(k + 1/2, N, \chi)$ denote the space of cusp forms of weight $k+1/2$, level $N$, and character $\chi$. Let $R_{\psi}$ be a twisting operator for a quadratic primitive character $\psi$ of even conductor and $\tilde{T}(n^2)$ the $n^2$-th Hecke operator. We give an explicit trace formula of $R_{\psi} \tilde{T}(n^2)$ on $S(k + 1/2, N, \chi)$.
Publié le : 2003-04-14
Classification:  Trace formula,  twisting operator,  half-integral weight,  11F37,  11F25 
@article{1116443659,
     author = {Ueda, Masaru},
     title = {Trace formula of twisting operators of half-integral weight in the case of even conductors},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {79},
     number = {3},
     year = {2003},
     pages = { 85-88},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1116443659}
}

Ueda, Masaru. Trace formula of twisting operators of half-integral weight in the case of even conductors. Proc. Japan Acad. Ser. A Math. Sci., Tome 79 (2003) no. 3, pp.  85-88. http://gdmltest.u-ga.fr/item/1116443659/