NEWTON POLYGONS FOR CHARACTER SUMS AND POINCARÉ SERIES

DOI10.1142/S1793042111004368zbMath1273.11122OpenAlexW2033782915MaRDI QIDQ3173454

Régis Blache

Publication date: 10 October 2011

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

Full work available at URL: https://doi.org/10.1142/s1793042111004368

zbMATH Keywords

\(L\)-functionscharacter sumsNewton polygons and polytopes

Mathematics Subject Classification ID

Special polytopes (linear programming, centrally symmetric, etc.) (52B12) Trigonometric and exponential sums (general theory) (11L03) Zeta and (L)-functions in characteristic (p) (11M38)

Related Items (1)

Exponential sums over finite fields

Cites Work

• Unnamed Item
• On twisted exponential sums
• Exponential sums and Newton polyhedra: cohomology and estimates
• Hodge-Stickelberger polygons for \(L\)-functions of exponential sums of \(P(x^s)\)
• Weights of exponential sums, intersection cohomology, and Newton polyhedra
• Polyedres de Newton et nombres de Milnor
• La conjecture de Weil. I
• Newton polygons of zeta functions and \(L\) functions
• Newton stratification for polynomials: the open stratum
• On the zeta function of a hypersurface. I
• Variations of \(p\)-adic Newton polygons for \(L\)-functions of exponential sums
• p -adic variation of L functions of one variable exponential sums, I

This page was built for publication: NEWTON POLYGONS FOR CHARACTER SUMS AND POINCARÉ SERIES