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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

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

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.


Book Review

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

MathSciNet review: 1568019
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?)

H. Davenport, Analytic methods for diophantine equations and inequalities, Ann Arbor Publ., Ann Arbor, 1962.
-, The collected works of Harold Davenport, vol. III (B. J. Birch, H. Halberstam, and C. A. Rogers, eds.), Academic Press, London, 1977.
G. H. Hardy and J. E. Littlewood, A new solution of Waring's problem, Quart. J. Math. 48 (1919), 272-293.
-, Some problems of "Partitio Numerorum". I A new solution of Waring's problem, Göttingen Nachr., 1920, 33-54.
  • G. H. Hardy and J. E. Littlewood, Some problems of “partitio numerorum”: II. Proof that every large number is the sum of at most 21 biquadrates, Math. Z. 9 (1921), no. 1-2, 14–27. MR 1544448, DOI 10.1007/BF01378332
  • G. H. Hardy and J. E. Littlewood, Some problems of ‘Partitio Numerorum’: IV. The singular series in Waring’s Problem and the value of the number $G(k)$, Math. Z. 12 (1922), no. 1, 161–188. MR 1544511, DOI 10.1007/BF01482074
  • G. H. Hardy and J. E. Littlewood, Some problems of ‘Partitio numerorum’; III: On the expression of a number as a sum of primes, Acta Math. 44 (1923), no. 1, 1–70. MR 1555183, DOI 10.1007/BF02403921
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    -, 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.
  • G. H. Hardy and J. E. Littlewood, Some problems of ‘Partitio numerorum’ (VI): Further researches in Waring’s Problem, Math. Z. 23 (1925), no. 1, 1–37. MR 1544728, DOI 10.1007/BF01506218
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    -, Some problems of "Partitio Numerorum": VIII The number $ {\Gamma (k)}$ in Waring's problem, Proc. London Math. Soc. 28 (1928), no. 2, 518-542.
    E. G. H. Landau, Vorlesungen über Zahlentheorie, Verlag von S. Hirzel, Erster Band. Leipzig, 1927
  • R. C. Vaughan, The Hardy-Littlewood method, Cambridge Tracts in Mathematics, vol. 80, Cambridge University Press, Cambridge-New York, 1981. MR 628618
  • I. M. Vinogradov, The method of trigonometrical sums in the theory of numbers, Trav. Inst. Math. Stekloff 23 (1947), 109 (Russian). MR 0029417
  • André Weil, Sur la théorie des formes quadratiques, Colloq. Théorie des Groupes Algébriques (Bruxelles, 1962) Librairie Universitaire, Louvain; Gauthier-Villars, Paris, 1962, pp. 9–22 (French). MR 0190097
  • André Weil, Sur la formule de Siegel dans la théorie des groupes classiques, Acta Math. 113 (1965), 1–87 (French). MR 223373, DOI 10.1007/BF02391774

  • Review Information:

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