Trace formulas of the Hecke operator on the spaces of newforms
Abstract
In this paper, for a square-free integer l>1, a even positive integer k and a positive integer N, we give a trace formula of the Hecke operator T(l) on the space Sk0(N) of all newforms of weight k and level 0(N). Moreover, we give a decomposition Sk0(N)=i|NSk0(N;i) and also give a trace formula of T(l) on Sk0(N;i).
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