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Book Review
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Book Information
Author(s):
Gove W. Effinger and David R. Hayes
Title:
Additive number theory of polynomials over a finite field
Additional book information:
Clarendon Press, Oxford, 157 pp., US$45.00. ISBN 0-19-853583-x
References:
- [1]
- H. Davenport, Analytic methods for diophantine equations and inequalities, Ann Arbor Publ., Ann Arbor, 1962.
- [2]
- H. Davenport, The collected works of Harold Davenport, {\rm vol. III (B. J. Birch, H. Halberstam, and C. A. Rogers, eds.)}, Academic Press, London, 1977.
- [3]
- G. H. Hardy and J. E. Littlewood, A new solution of Waring's problem, Quart. J. Math. \textbf{48} (1919), 272--293.
- [4]
- G. H. Hardy and J. E. Littlewood, Some problems of$ $``Partitio Numerorum''\. \,{\rm I A new solution of Waring's problem}, G\"ottingen Nachr., 1920, 33--54.
- [5]
- G. H. Hardy and J. E. Littlewood, Some problems of$ $``Partitio Numerorum''\,{\rm : II} Proof that every large number is the sum of at most $21$ biquadrates, Math. Z. \textbf{9} (1921), 14--27.
- [6]
- G. H. Hardy and J. E. Littlewood, Some problems of$ $``Partitio Numerorum''\,{\rm : IV} The singular series in Waring's problem, Math. Z. \textbf{12} (1922), 161--188.
- [7]
- G. H. Hardy and J. E. Littlewood, Some problems of ``Partitio Numerorum''\,{\rm : III} On the expression of a number as a sum of primes, Acta Math. \textbf{44} (1923), 1--70.
- [8]
- G. H. Hardy and J. E. Littlewood, Some problems of ``Partitio Numerorum''\,{\rm : V} A further contribution to the study of Goldbach's problem, Proc. London Math. Soc. \textbf{22} (1923), no.~2, 46--56.
- [9]
- G. H. Hardy and J. E. Littlewood, Some problems of$ $``Partitio Numerorum''\,{\rm : VI} Further researches in Waring's problem, Math. Z. \textbf{23} (1925), 1--37.
- [10]
- G. H. Hardy and J. E. Littlewood, Some problems of$ $``Partitio Numerorum''\,{\rm : VIII} The number $\Gamma (k)$ in Waring's problem, Proc. London Math. Soc. \textbf{28} (1928), no.~2, 518--542.
- [11]
- E. G. H. Landau, Vorlesungen \"uber Zahlentheorie, Verlag von S. Hirzel, Erster Band. Leipzig, 1927.
- [12]
- R. C. Vaughan, The Hardy-Littlewood method, Cambridge Univ. Press, Cambridge, 1981.
- [13]
- I. M. Vinogradov, The method of trigonometrical sums in the theory of number, Trav. Inst. Steklov \textbf{23} (1947).
- [14]
- A. Weil, Sur la th\'eorie des formes quadratiqes, Colloque sur la Th\'eorie des Groupes Alg\'ebriques, C. B. R. M. Brussels, 1962, pp.~9--22.
- [15]
- A. Weil, Sur la formula de Siegel dans la th\'eorie des groupes classiques, Acta Math. \textbf{113} (1965), 1--87.
Additional Information:
Reviewer(s):
R. C.
Vaughan
Review Information:
Journal:
Bull. Amer. Math. Soc.
28
(1993),
209-212.
DOI:
10.1090/S0273-0979-1993-00359-8
PII:
S 0273-0979(1993)00359-8
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