Statement of results Gauss sum, Kloosterman sum and Salie sum Matrix argument Kloosterman sums Evaluation of the Novodvorsky orbital integral Evaluation of the Bessel orbital integral Evaluation of the quadratic orbital integral Bibliography.
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The authors establish the fundamental lemma for a relative trace formula. The trace formula compares generic automorphic representations of [italic capitals]GS[italic]p(4) with automorphic representations of [italic capitals]GS(4) which are distinguished with respect to a charac…
Modular forms: a classical approach
by Cohen, Henri, Strömberg, Fredrik
fromGraduate studies in mathematics
0
Type: Book
In this paper, we apply the Selberg trace formula to derive a formula for the dimensions of certain spaces of automorphic forms. We also obtain the explicit value for the volume of a certain fundamental domain.