Additive Number Theory of Polynomials over a Finite Field (inbunden)
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Format
Inbunden (Hardback)
Språk
Engelska
Antal sidor
174
Utgivningsdatum
1991-09-01
Förlag
Clarendon Press
Medarbetare
Hayes, David R.
Illustrationer
bibliography
Dimensioner
242 x 164 x 16 mm
Vikt
431 g
Antal komponenter
1
ISBN
9780198535836

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Additive Number Theory of Polynomials over a Finite Field (inbunden)

Additive Number Theory of Polynomials over a Finite Field

av Gove W Effinger
Inbunden Engelska, 1991-09-01
499
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The arithmetic of polynomials over a finite field possesses deep and fascinating parallels with classical number theory. This volume develops all the tools needed to provide modern, "adelic" proofs of the polynomial analogs to two of the most famous theorems of classical additive number theory: Vinogradov's 3-Primes Theorem and the Waring Problem.
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Recensioner i media

'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

Innehållsförteckning

The polynomial Waring and Goldbach problems; Local singular series; Local Gauss sums and local derivatives; The adle 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; Appendix: A complete solution to the 3-primes problem; Bibliography; Index.