Exponential sums and Newton polyhedra

DOI10.1090/S0273-0979-1987-15518-2zbMath0634.12018MaRDI QIDQ3772324

Alan Adolphson, Steven I. Sperber

Publication date: 1987

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Newton polyhedronWeil conjecturescohomology theory of p-adic hypersurfaces

Mathematics Subject Classification ID

Exponential sums (11T23) Étale and other Grothendieck topologies and (co)homologies (14F20) Trigonometric and exponential sums (general theory) (11L03)

Related Items

On shifted convolutions of \(\zeta^3(s)\) with automorphic \(L\)-functions, Weights of exponential sums, intersection cohomology, and Newton polyhedra, Estimates on the number of \(\mathbb{F}_q\)-rational solutions of variants of diagonal equations over finite fields, Exponential sums and \(\ell\)-adic cohomology: A survey.

Cites Work

• 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
• La conjecture de Weil. I
• On the zeta function of a hypersurface. II
• On the zeta function of a hypersurface. I
• $p$-adic estimates for exponential sums and the theorem of Chevalley-Warning