Remote Access Bulletin of the American Mathematical Society

Bulletin of the American Mathematical Society

ISSN 1088-9485(online) ISSN 0273-0979(print)

Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

Full text of review: PDF   This review is available free of charge.
Book Information:

Author: 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 [Enhancements On Off] (What's this?)

  • [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 $ {\Gamma (k)}$ 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)

Review Information:

Reviewer: R. C. Vaughan
Journal: Bull. Amer. Math. Soc. 28 (1993), 209-212
American Mathematical Society