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- W4224251502 abstract "We stratify the SL3 big cell Kloosterman sets using the reduced word decomposition of the Weyl group element, inspired by the Bott-Samelson factorization. Thus the SL3 long word Kloosterman sum is decomposed into finer parts, and we write it as a finite sum of a product of two classical Kloosterman sums. The fine Kloosterman sums end up being the correct pieces to consider in the Bruggeman-Kuznetsov trace formula on the congruence subgroup Γ0(N)⊆SL3(Z). Another application is a new explicit formula, expressing the triple divisor sum function in terms of a double Dirichlet series of exponential sums, generalizing Ramanujan's formula." @default.
- W4224251502 created "2022-04-26" @default.
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- W4224251502 date "2022-07-01" @default.
- W4224251502 modified "2023-10-16" @default.
- W4224251502 title "Parametrization of Kloosterman sets and SL3-Kloosterman sums" @default.
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- W4224251502 doi "https://doi.org/10.1016/j.aim.2022.108392" @default.
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