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On \(L\)-functions of twisted \(T\)-adic exponential sums

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Publication:1747210
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DOI10.1016/j.jnt.2017.10.016zbMath1430.11110OpenAlexW2769211980WikidataQ115570084 ScholiaQ115570084MaRDI QIDQ1747210

Wenxin Liu, Chunlei Liu, Chuan Ze Niu

Publication date: 4 May 2018

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2017.10.016


zbMATH Keywords

\(C\)-functionstwisted \(T\)-adic exponential sumstwisted Hodge polygon


Mathematics Subject Classification ID

Estimates on exponential sums (11L07) (p)-adic cohomology, crystalline cohomology (14F30)




Cites Work

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  • Newton slopes for Artin-Schreier-Witt towers
  • Generic \(T\)-adic exponential sums in one variable
  • Generic twisted \(T\)-adic exponential sums of polynomials
  • On twisted exponential sums
  • Exponential sums and Newton polyhedra: cohomology and estimates
  • Completely continuous endomorphisms of \(p\)-adic Banach spaces
  • The \(L\)-functions of twisted Witt extensions
  • \(T\)-adic exponential sums over finite fields
  • Variations of \(p\)-adic Newton polygons for \(L\)-functions of exponential sums
  • Newton slopes for twisted Artin–Schreier–Witt towers


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