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Additive Number Theory of Polynomials over a Finite Field

Additive Number Theory of Polynomials over a Finite Field

by David R. Hayes and Gove W. Effinger
Hardback
Publication Date: 26/09/1991

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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.
ISBN:
9780198535836
9780198535836
Category:
Number theory
Format:
Hardback
Publication Date:
26-09-1991
Publisher:
Oxford University Press
Country of origin:
United Kingdom
Pages:
174
Dimensions (mm):
238x163x15mm
Weight:
0.42kg

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