Generic twisted \(T\)-adic exponential sums of polynomials

DOI10.1016/j.jnt.2014.01.004zbMath1296.11101arXiv0911.4213OpenAlexW2062166823MaRDI QIDQ401975

Chunlei Liu, Chuan Ze Niu

Publication date: 27 August 2014

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

Full work available at URL: https://arxiv.org/abs/0911.4213

zbMATH Keywords

arithmetic polygon\(T\)-adic \(C\)-function\(T\)-adic Newton polygontwisted exponential sum

Mathematics Subject Classification ID

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

Related Items (5)

Generic \(T\)-adic exponential sums in one variable ⋮ Newton polygon of \(L\) function of \(x^d + \lambda x^{d -1} + \mu x \) ⋮ On \(L\)-functions of twisted \(T\)-adic exponential sums ⋮ Generic twisted \(T\)-adic exponential sums of binomials ⋮ Generic Newton polygon of the \(L\)-function of \(n\) variables of the Laurent polynomial I

Cites Work

• Unnamed Item
• Unnamed Item
• Generic \(T\)-adic exponential sums in one variable
• Generic twisted \(T\)-adic exponential sums of binomials
• Twisted exponential sums of polynomials in one variable
• On twisted exponential sums
• Exponential sums and Newton polyhedra: cohomology and estimates
• Completely continuous endomorphisms of \(p\)-adic Banach spaces
• Zeta functions of totally ramified \(p\)-covers of the projective line
• 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
• Newton polyhedra and the degree of the L-function associated to an exponential sum
• Newton stratification for polynomials: the open stratum
• The \(L\)-functions of Witt coverings
• Variations of \(p\)-adic Newton polygons for \(L\)-functions of exponential sums
• p -adic variation of L functions of one variable exponential sums, I
• Asymptotic variation of L functions of one-variable exponential sums

This page was built for publication: Generic twisted \(T\)-adic exponential sums of polynomials