ON A CONJECTURE OF IGUSA

DOI10.1112/S0025579312001167zbMath1335.11067WikidataQ123285648 ScholiaQ123285648MaRDI QIDQ5326091

Ben Lichtin

Publication date: 31 July 2013

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

complete exponential sumsdegenerate binary forms

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Estimates on exponential sums (11L07) (p)-adic theory (11E95)

Related Items (5)

Igusa's conjecture on exponential sums modulo \(p^m\) and the local-global principle ⋮ Bounding the decay of oscillatory integrals with a constructible amplitude function and a globally subanalytic phase function ⋮ The local sum conjecture in two dimensions ⋮ IGUSA’S CONJECTURE FOR EXPONENTIAL SUMS: OPTIMAL ESTIMATES FOR NONRATIONAL SINGULARITIES ⋮ On the motivic oscillation index and bound of exponential sums modulo \(p^m\) via analytic isomorphisms

Cites Work

• Unnamed Item
• Exponential sums and Newton polyhedra: cohomology and estimates
• Igusa and Denef-Sperber conjectures on nondegenerate \(p\)-adic exponential sums
• Exponential sums: Questions by Denef, Sperber, and Igusa
• On the Degree of Igusa's Local Zeta Function
• New bounds for Gauss sums derived from KTH powers, and for Heilbronn's exponential sum

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