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Trace formulas of the Hecke operator on the spaces of newforms (1108.4774v5)
Published 24 Aug 2011 in math.NT
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 S_k0(N) of all newforms of weight k and level \Gamma_0(N). Moreover, we give a decomposition S_k0(N)=\oplus_{i|N}S_k0(N;i) and also give a trace formula of T(l) on S_k0(N;i).