Overview

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.

Full Product Details

Author:   Gove W. Effinger (Department of Mathematics, Department of Mathematics, Skidmore College, New York, USA) ,  David R. Hayes (Department of Mathematics and Statistics, Department of Mathematics and Statistics, University of Massachusetts, Amherst, USA)
Publisher:   Oxford University Press
Imprint:   Clarendon Press
Dimensions:   Width: 16.30cm , Height: 1.50cm , Length: 23.80cm
Weight:   0.416kg
ISBN:  

9780198535836

ISBN 10:   019853583
Pages:   174
Publication Date:   26 September 1991
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   To order  
Stock availability from the supplier is unknown. We will order it for you and ship this item to you once it is received by us.

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Reviews

'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

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