Trace formulas of the Hecke operator on the spaces of newforms

Details Trace formulas of the Hecke operator on the spaces of newforms Trace formulas of the Hecke operator on the spaces of newforms

2011-08-24

arxiv.org/abs/1108.4774v5

Mathematics

Number Theory

Scientific paper

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_k^0(N) of all newforms of weight k and level \Gamma_0(N). Moreover, we
give a decomposition S_k^0(N)=\oplus_{i|N}S_k^0(N;i) and also give a trace
formula of T(l) on S_k^0(N;i).

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