The \(L\)-functions of Witt coverings

DOI10.1007/s00209-006-0014-2zbMath1144.11063arXivmath/0404400OpenAlexW2147165871MaRDI QIDQ2471770

Dasheng Wei, Chunlei Liu

Publication date: 18 February 2008

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0404400

zbMATH Keywords

exponential sumsNewton polygon\(L\)-functions

Mathematics Subject Classification ID

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

Related Items (17)

On the Newton polygons of twisted \(L\)-functions of binomials ⋮ Generic \(T\)-adic exponential sums in one variable ⋮ The stable property of Newton slopes for general Witt towers ⋮ Generic twisted \(T\)-adic exponential sums of polynomials ⋮ Newton polygons of \(L\)-functions of polynomials \(x^d + a x^{d - 1}\) with \(p \equiv -1 \bmod d\) ⋮ Newton polygons of \(L\) functions of polynomials \(x^{d}+ax\) ⋮ Twisted exponential sums of polynomials in one variable ⋮ Newton polygon of \(L\) function of \(x^d + \lambda x^{d -1} + \mu x \) ⋮ On exponential sums of \(x^d+\lambda x^e\) with \(p\equiv e\pmod d\) ⋮ Generic twisted \(T\)-adic exponential sums of binomials ⋮ Some unlikely intersections between the Torelli locus and Newton strata in \(\mathcal{A}_g\) ⋮ The \(L\)-functions of twisted Witt extensions ⋮ Newton slopes for twisted Artin–Schreier–Witt towers ⋮ \(T\)-adic exponential sums over affinoids ⋮ Newton polygon of exponential sums in two variables with triangular base ⋮ p-Adic estimates of abelian Artin L-functions on curves ⋮ Newton slopes for Artin-Schreier-Witt towers

Cites Work

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• Exponential sums and Newton polyhedra: cohomology and estimates
• Newton polyhedra and the degree of the L-function associated to an exponential sum
• La conjecture de Weil. II
• Polyedres de Newton et nombres de Milnor
• On exponential sums in finite fields. II
• Character sums over \(p\)-adic fields
• On the zeta function of a hypersurface. II
• Newton polygons of zeta functions and \(L\) functions
• On the zeta function of a hypersurface. I
• An upper bound for Weil exponential sums over Galois rings and applications
• On Exponential Sums in Finite Fields

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