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Additive Number Theory of Polynomials over a Finite Field

David R Hayes author Gove W Effinger author

Format:Hardback

Publisher:Oxford University Press

Published:26th Sep '91

Currently unavailable, and unfortunately no date known when it will be back

Additive Number Theory of Polynomials over a Finite Field cover

This volume is a systematic treatment of the additive number theory of polynomials over a finite field, an area possessing fascinating and deep parallels with classical number theory. In providing asymptotic proofs of both the Polynomial Three Primes Problem (an analog of Vinogradov's theorem) and the Polynomial Waring Problem, the book develops the various tools necessary to apply an adelic `circle method' to a wide variety of additive problems in both the polynomial and classical settings. A key to the methods employed here is that the Generalised Riemann Hypothesis is valid in this polynomial setting. The authors presuppose a familiarity with algebra and number theory as might be gained from the first two years of a graduate course, but otherwise the book is self-contained.

'To sum up, the book is an outstanding motivation for and introduction to the study of analytical methods in arithmetic.' mededelingen van het wiskundig genootschap, no.8, - november 1993

ISBN: 9780198535836

Dimensions: 238mm x 163mm x 15mm

Weight: 416g

174 pages