Traces Of Hecke Operators Manual For

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THE COMBINATORICS OF TRACES OF HECKE OPERATORS

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TRACES OF HECKE OPERATORS IN LEVEL 1 AND GAUSSIAN

To any finite symmetric subset R ⊂ O3 corresponds a Hecke operator T R on L2( S2) which leaves the eigenspaces ℋn ( n ≥ 0) of the Laplacian invariant. We

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To any finite symmetric subset R ⊂ O3 corresponds a Hecke operator T R on L2( S2) which leaves the eigenspaces ℋn ( n ≥ 0) of the Laplacian invariant. We

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Contents Traces of Hecke Operators 1. Introduction 1 2. The Arthur-Selberg trace formula for GL(2) 3 3. Cusp forms and Hecke operators 7 3.1. Congruence subgroups of

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This leads to an expression for the trace of a Hecke operator, which is then computed explicitly. The exposition is virtually self-contained,

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Contents Traces of Hecke Operators 1. Introduction 1 2. The Arthur-Selberg trace formula for GL(2) 3 3. Cusp forms and Hecke operators 7 3.1. Congruence subgroups of

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