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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]
- -, The collected works of Harold Davenport, 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. 48 (1919), 272-293.
- [4]
- -, Some problems of "Partitio Numerorum". I A new solution of Waring's problem, Göttingen Nachr., 1920, 33-54.
- [5]
- -, Some problems of "Partitio Numerorum": II Proof that every large number is the sum of at most 21 biquadrates, Math. Z. 9 (1921), 14-27. MR 1544448
- [6]
- -, Some problems of "Partitio Numerorum": IV The singular series in Waring's problem, Math. Z. 12 (1922), 161-188. MR 1544511
- [7]
- -, Some problems of "Partitio Numerorum": III On the expression of a number as a sum of primes, Acta Math. 44 (1923), 1-70. MR 1555183
- [8]
- -, Some problems of "Partitio Numerorum": V A further contribution to the study of Goldbach's problem, Proc. London Math. Soc. 22 (1923), no. 2, 46-56.
- [9]
- -, Some problems of "Partitio Numerorum": VI Further researches in Waring's problem, Math. Z. 23 (1925), 1-37. MR 1544728
- [10]
- -, Some problems of "Partitio Numerorum": VIII The number
 in Waring's problem, Proc. London Math. Soc. 28 (1928), no. 2, 518-542. - [11]
- E. G. H. Landau, Vorlesungen über Zahlentheorie, Verlag von S. Hirzel, Erster Band. Leipzig, 1927
- [12]
- R. C. Vaughan, The Hardy-Littlewood method, Cambridge Univ. Press, Cambridge, 1981. MR 628618 (84b:10002)
- [13]
- I. M. Vinogradov, The method of trigonometrical sums in the theory of number, Trav. Inst. Steklov 23 (1947); translated from the Russian, revised, and annotated by A. Davenport and K. F. Roth, Interscience, New York, 1954. MR 0029417 (10:599a)
- [14]
- A. Weil, Sur la théorie des formes quadratiqes, Colloque sur la Théorie des Groupes Algébriques, C. B. R. M. Brussels, 1962, pp. 9-22. MR 0190097 (32:7511)
- [15]
- -, Sur la formula de Siegel dans la théorie des groupes classiques, Acta Math. 113 (1965), 1-87. MR 0223373 (36:6421)
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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