Effective estimates for traces of singular moduli
Research in Number Theory(2024)
摘要
Traces of singular moduli can be approximated by exponential sums of quadratic irrationals. Recently Andersen and Duke used theory of Maass forms to estimate generalized twisted traces with power-saving error bounds. We establish an asymptotic formula with effective error bounds for such traces. Our methods depend on an explicit bound for sums of Kloosterman sums on Γ _0(4) .
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关键词
Traces of singular moduli,Kohnen’s plus space,Kloosterman sums,Poincaré series,11F37,11F72,11L05
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