Diophantine methods for exponential sums, and exponential sums for Diophantine problems

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dc.creatorWooley, Trevor D.
dc.date2003-04-16
dc.date.accessioned2026-07-07T04:56:59Z
dc.date.available2026-07-07T04:56:59Z
dc.descriptionRecent developments in the theory and application of the Hardy-Littlewood method are discussed, concentrating on aspects associated with diagonal diophantine problems. Recent efficient differencing methods for estimating mean values of exponential sums are described first, concentrating on developments involving smooth Weyl sums. Next, arithmetic variants of classical inequalities of Bessel and Cauchy-Schwarz are discussed. Finally, some emerging connections between the circle method and arithmetic geometry are mentioned.
dc.identifierhttps://arxiv.org/abs/math/0304237
dc.identifierhttp://arxiv.org/abs/math/0304237
dc.identifierProceedings of the ICM, Beijing 2002, vol. 2, 207--220
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/67118
dc.subjectNumber Theory
dc.subject11P55, 11L07, 11P05, 11D72, 14G05
dc.titleDiophantine methods for exponential sums, and exponential sums for Diophantine problems
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