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Counting sheaves using spherical codes

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Publication:395056
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DOI10.4310/MRL.2013.v20.n2.a8zbMath1294.11101arXiv1210.0851MaRDI QIDQ395056

Emmanuel Kowalski, Étienne Fouvry, Philippe Michel

Publication date: 28 January 2014

Published in: Mathematical Research Letters (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1210.0851


zbMATH Keywords

spherical codeslisse \(\ell\)-adic sheavesRiemann hypothesis over finite fieldstrace functions


Mathematics Subject Classification ID

Bounds on codes (94B65) Curves over finite and local fields (11G20) Exponential sums (11T23) Other types of codes (94B60)


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Cancellation in algebraic twisted sums on \(\operatorname{GL}_m\) ⋮ Zeros of Rankin-Selberg \(L\)-functions at the edge of the critical strip ⋮ Quantitative sheaf theory ⋮ On short sums of trace functions ⋮ A study in sums of products ⋮ Lectures on applied ℓ-adic cohomology ⋮ Algebraic trace functions over the primes ⋮ The distribution of the maximum of partial sums of Kloosterman sums and other trace functions ⋮ Stratification and averaging for exponential sums: bilinear forms with generalized Kloosterman sums




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