From oscillatory integrals and sublevel sets to polynomial congruences and character sums

DOI10.1007/s12220-010-9144-1zbMath1229.11005OpenAlexW1995202181MaRDI QIDQ2430515

James Wright

Publication date: 6 April 2011

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://www.research.ed.ac.uk/portal/en/publications/from-oscillatory-integrals-and-sublevel-sets-to-polynomial-congruences-and-character-sums(10b0fc79-1454-4998-a635-b376e35a816b).html

zbMATH Keywords

exponential sumsoscillatory integralspolynomial congruencessublevel sets

Mathematics Subject Classification ID

Multipliers for harmonic analysis in several variables (42B15) Congruences; primitive roots; residue systems (11A07) Estimates on character sums (11L40)

Related Items (1)

The local sum conjecture in two dimensions

Cites Work

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• Restriction and Kakeya phenomena for finite fields
• On upper bounds of Chalk and Hua for exponential sums
• Averages in vector spaces over finite fields
• On Some Exponential Sums

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