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- W4300521557 abstract "Dedekind sums are well-studied arithmetic sums, with values uniformly distributed on the unit interval. Based on their relation to certain modular forms, Dedekind sums may be defined as functions on the cusp set of $SL(2,mathbb{Z})$. We present a compatible notion of Dedekind sums, which we name Dedekind symbols, for any non-cocompact lattice $Gamma<SL(2,mathbb{R})$, and prove the corresponding equidistribution mod 1 result. The latter part builds up on a paper of Vardi, who first connected exponential sums of Dedekind sums to Kloosterman sums." @default.
- W4300521557 created "2022-10-03" @default.
- W4300521557 creator A5074173598 @default.
- W4300521557 date "2015-09-15" @default.
- W4300521557 modified "2023-10-16" @default.
- W4300521557 title "Generalized Dedekind sums and equidistribution mod 1" @default.
- W4300521557 doi "https://doi.org/10.48550/arxiv.1509.04429" @default.
- W4300521557 hasPublicationYear "2015" @default.
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