Twisted exponential sums of polynomials in one variable

DOI10.1007/s11425-010-3144-2zbMath1275.11112arXiv0912.1929OpenAlexW3105763215MaRDI QIDQ625834

Wenxin Liu, Chunlei Liu

Publication date: 25 February 2011

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0912.1929

zbMATH Keywords

Newton polygonexponential sumDwork trace formula

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Exponential sums (11T23) (p)-adic cohomology, crystalline cohomology (14F30)

Related Items (3)

Generic twisted \(T\)-adic exponential sums of polynomials ⋮ Newton slopes for twisted Artin–Schreier–Witt towers ⋮ \(T\)-adic exponential sums over affinoids

Cites Work

• Unnamed Item
• Generic \(T\)-adic exponential sums in one variable
• Generic twisted \(T\)-adic exponential sums of binomials
• Completely continuous endomorphisms of \(p\)-adic Banach spaces
• The \(L\)-functions of twisted Witt extensions
• Hodge-Stickelberger polygons for \(L\)-functions of exponential sums of \(P(x^s)\)
• \(T\)-adic exponential sums over finite fields
• Character sums over \(p\)-adic fields
• The \(L\)-functions of Witt coverings

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