Additive Number Theory of Polynomials over a Finite Field

Name: Additive Number Theory of Polynomials over a Finite Field
Price: 49.8 USD
Availability: InStock
ISBN: 9780198535836

ISBN-10: 019853583X

ISBN-13: 9780198535836

Edition: 1991

Authors: Gove W. Effinger, David R. Hayes

List price: $53.00

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Description:

This volume is a systematic treatment of the additive number theory of polynomials over a finite field, an area possessing deep and fascinating parallels with classical number theory. In providing asymptomatic 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 generalized Riemann hypothesis is valid in this polynomial setting. The authors presuppose a familiarity with algebra and number theory as might be…

Book details

List price: $53.00
Copyright year: 1991
Publisher: Oxford University Press, Incorporated
Publication date: 11/7/1991
Binding: Hardcover
Pages: 174
Size: 6.42" wide x 9.37" long x 0.61" tall
Weight: 0.968




The Polynomial Waring and Goldbach Problems



Local Singular Series



Local Gauss Sums and Local Derivatives



The Adele Ring over k



L-functions of Dirichlet Type



The Polynomial 3-Primes Generating Function



The Polynomial 3-Primes Problem: An Asymptotic Solution



The Polynomial Waring Problem