Trace formulas of the Hecke operator on the spaces of newforms

2011/08/24 by Tomohiko, Suda
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1108.4774

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 Γ₀(N). Moreover, we give a decomposition S_k⁰(N)=⊕_i|NS_k⁰(N;i) and also give a trace formula of T(l) on S_k⁰(N;i).

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