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Hasse polynomials of \(L\)-functions of certain exponential sums

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Publication:1994952
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DOI10.1016/j.ffa.2020.101736zbMath1456.11230arXiv2003.12868OpenAlexW3082486517WikidataQ115575252 ScholiaQ115575252MaRDI QIDQ1994952

Chao Chen

Publication date: 18 February 2021

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

Full work available at URL: https://arxiv.org/abs/2003.12868

zbMATH Keywords

exponential sumsNewton polygonLaurent polynomials\(L\)-functiondecomposition theoryHodge polygonDwork's \(p\)-adic methodHasse polynomial


Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Exponential sums (11T23) Zeta functions and (L)-functions (11S40)


Related Items

\(L\)-functions of exponential sums and Hasse polynomials, Exponential sums over finite fields



Cites Work

  • Unnamed Item
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  • Exponential sums and Newton polyhedra: cohomology and estimates
  • La conjecture de Weil. II
  • Weights of exponential sums, intersection cohomology, and Newton polyhedra
  • Newton polygons of zeta functions and \(L\) functions
  • On the zeta function of a hypersurface. I
  • Variations of \(p\)-adic Newton polygons for \(L\)-functions of exponential sums
  • On \(L\)-functions of certain exponential sums
  • Small eigenvalues of Laplacian for $Γ_{0}(N)$
  • Higher rank case of Dwork’s conjecture
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