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Invariant factors of degree matrices and \(L\)-functions of certain exponential sums

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Publication:402562
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DOI10.1016/j.ffa.2014.02.008zbMath1316.11110OpenAlexW2083520116MaRDI QIDQ402562

Wei Cao, Mei-ling Zhu

Publication date: 28 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.ffa.2014.02.008


zbMATH Keywords

Gauss sumexponential suminvariant factorL-function


Mathematics Subject Classification ID

Polynomials over finite fields (11T06) Exponential sums (11T23) Zeta and (L)-functions in characteristic (p) (11M38)


Related Items

\(L\)-functions of twisted exponential sums over finite fields



Cites Work

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  • Smith normal form of augmented degree matrix and its applications
  • Exponential sums and Newton polyhedra: cohomology and estimates
  • Modular counting of rational points over finite fields
  • Newton polyhedra and the degree of the L-function associated to an exponential sum
  • On exponential sums in finite fields. II
  • Newton polygons of zeta functions and \(L\) functions
  • Variations of \(p\)-adic Newton polygons for \(L\)-functions of exponential sums
  • $L$-functions of twisted diagonal exponential sums over finite fields
  • On a class of equations with special degrees over finite fields
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