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Trace formula and trace identity of twisted Hecke operators on the spaces of cusp forms of weight $k+1/2$ and level $32M$
Let M be an odd positive integer, an even quadratic character defined modulo 32M, and a quadratic primitive character of conductor divisible by 8.Then, we can define twisted Hecke operators R T T ðn 2 Þ on the space of cusp forms of weight k þ 1=2, level 32M, and …