The first slope case of Wan's conjecture.

DOI10.1006/ffta.2001.0349zbMath1159.11324OpenAlexW2080388346MaRDI QIDQ1867454

Jasper Scholten, Hui June Zhu

Publication date: 2 April 2003

Published in: Finite Fields and their Applications (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/e283c07fde28a0889756b86b3fae1b13ce2dd3ec

zbMATH Keywords

Newton polygonfinite fieldexponential sumHodge polygon

Mathematics Subject Classification ID

Exponential sums (11T23) Finite ground fields in algebraic geometry (14G15) Trigonometric and exponential sums (general theory) (11L03)

Related Items (5)

Newton stratification for polynomials: the open stratum ⋮ Asymptotic variation of L functions of one-variable exponential sums ⋮ Realizing Artin-Schreier covers of curves with minimal Newton polygons in positive characteristic ⋮ Valuation of exponential sums and the generic first slope for Artin-Schreier curves ⋮ \(p\)-adic valuation of exponential sums associated to trinomials and some consequences

Cites Work

• Unnamed Item
• Newton polyhedra and the degree of the L-function associated to an exponential sum
• Variations of \(p\)-adic Newton polygons for \(L\)-functions of exponential sums
• On the p-adic Theory of Exponential Sums
• $p$-adic estimates for exponential sums and the theorem of Chevalley-Warning
• On Exponential Sums in Finite Fields
• Newton polygons of \(L\) functions associated with exponential sums of polynomials of degree four over finite fields

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