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Hodge-Stickelberger polygons for \(L\)-functions of exponential sums of \(P(x^s)\)

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Publication:1000621
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DOI10.4310/MRL.2008.v15.n5.a17zbMath1181.11051arXiv0706.2340OpenAlexW2962822589MaRDI QIDQ1000621

Hui June Zhu, Éric Férard, Régis Blache

Publication date: 10 February 2009

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

Full work available at URL: https://arxiv.org/abs/0706.2340

zbMATH Keywords

Newton polygonfinite field\(L\)-functionexponential sumArtin-Schreier curveHodge-Stickelberger polygon


Mathematics Subject Classification ID

Finite ground fields in algebraic geometry (14G15) Gauss and Kloosterman sums; generalizations (11L05) Trigonometric and exponential sums (general theory) (11L03) Zeta and (L)-functions in characteristic (p) (11M38)


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NEWTON POLYGONS FOR CHARACTER SUMS AND POINCARÉ SERIES, Generic exponential sums associated with polynomials of degree 3 in two variables, Generic twisted \(T\)-adic exponential sums of polynomials, Twisted exponential sums of polynomials in one variable, Families of Artin-Schreier curves with Cartier-Manin matrix of constant rank, On a conjecture of Wan about limiting Newton polygons, Generic \(A\)-family of exponential sums, Newton slopes for twisted Artin–Schreier–Witt towers



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