Asymptotic variation of L functions of one-variable exponential sums

DOI10.1515/crll.2004.051zbMath1055.11075arXivmath/0206284OpenAlexW2963163870MaRDI QIDQ4810867

Hui June Zhu

Publication date: 17 August 2004

Published in: Journal für die reine und angewandte Mathematik (Crelles Journal) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0206284

zbMATH Keywords

exponential sums\(L\)-functions\(p\)-adic variation

Mathematics Subject Classification ID

Exponential sums (11T23) Trigonometric and exponential sums (general theory) (11L03) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (10)

Generic \(T\)-adic exponential sums in one variable ⋮ Newton stratification for polynomials: the open stratum ⋮ On \(L\)-functions of certain exponential sums ⋮ Zeta functions of totally ramified \(p\)-covers of the projective line ⋮ Generic exponential sums associated with polynomials of degree 3 in two variables ⋮ Realizing Artin-Schreier covers of curves with minimal Newton polygons in positive characteristic ⋮ Generic twisted \(T\)-adic exponential sums of polynomials ⋮ Hasse-Witt matrices for polynomials, and applications ⋮ Generic \(A\)-family of exponential sums ⋮ Generic Newton polygon of the \(L\)-function of \(n\) variables of the Laurent polynomial I

Cites Work

• The first slope case of Wan's conjecture.
• On the zeta function of a hypersurface. I
• Newton polygons of \(L\) functions associated with exponential sums of polynomials of degree four over finite fields
• Unnamed Item

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