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: Hans Rademacher
Title: Topics in analytic number theory
Additional book information: Die Grundlehren der math. Wissenschaften, Band 169, Springer-Verlag, Berlin, 1973, ix+320 pp.

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

  • 1. H. L. Alder, Partition identities—from Euler to the present, Amer. Math. Monthly 76 (1969), 733-746. MR 41 #8366.
  • 2. George E. Andrews, On the general Rogers-Ramanujan theorem, Mem. Amer. Math. Soc. No. 152 (1974). MR 364082
  • 3. S. Chowla, Remarks on class-invariants and related topics, Seminar on Complex Multiplication, Institute for Adv. Study, Princeton, N.J., 1957/58, Lecture Notes in Math., no. 21, Springer-Verlag, Berlin and New York, 1966, VI-1 to VI-15. MR 34 #1278. MR 154846
  • 4. Pierre Deligne and Jean-Pierre Serre, Formes modulaires de poids 1 (to appear). MR 379379
  • 5. Marvin Isadore Knopp, Fourier series of automorphic forms of non-negative dimension, Illinois J. Math. 5 (1961), 18-42. MR 23 #A137. MR 122804
  • 6. W. Kuyk, et al. (editors), Modular functions of one variable. I, II, III, Lecture Notes in Math., nos. 320, 349, 350, Springer-Verlag, New York, 1973. MR 323723
  • 7. C. Meyer, Über einige Anwendungen Dedekindscher Summen, J. Reine Angew. Math. 198 (1957), 143-203. MR 21 #3396. MR 104643
  • 8. Hans Petersson, Über die Entwicklungskoeffizienten der automorphen formen, Acta Math. 58 (1932), 169-215. MR 1555346
  • 9. Hans A. Rademacher, On the transformation of $łog \eta(\tau)$, J. Indian Math. Soc. 19 (1955), 25-30. MR 17, 15.
  • 10. Hans A. Rademacher, Some remarks on certain generalized Dedekind sums, Acta Arith. 9 (1964), 97-105. MR 29 #1172. MR 163873
  • 11. Hans A. Rademacher, On the partition function p (n), Proc. London Math. Soc. (2) 43 (1937), 241-254.
  • 12. Hans A. Rademacher, The Fourier coefficients of the modular invariant j (T), Amer. J. Math. 60 (1938), 501-512. MR 1507331
  • 13. Hans A. Rademacher, Trends in research: the analytic number theory, Bull. Amer. Math. Soc. 48 (1942), 379-401. MR 3, 271. MR 6205
  • 14. Hans Rademacher and Emil Grosswald, Dedekind sums, Carus Mathematical Monograph, 16, 1972. MR 357299
  • 15. Hans Rademacher and Herbert S. Zuckerman, On the Fourier coefficients of certain modular forms of positive dimension, Ann. Math. (2) 39 (1938), 433-462. MR 1503417
  • 16. C. L. Siegel, Topics in complex function theory. Vol. III, Wiley, New York, 1973. MR 1013364
  • 17. C. L. Siegel, Lectures on advanced analytic number theory, Tata Institute of Fundamental Research, Bombay, 1961. MR 262150
  • 18. C. L. Siegel, A simple proof of $\eta(-1/\tau)=\eta(\tau)\sqrt{}\tau/i$, Mathematika 1 (1954), 4. MR 16, 16. MR 62774
  • 19. A. Weil, Sur une formule classique, J. Math. Soc. Japan 20 (1968), 400-402. MR 37 #155. MR 224556
  • 20. Herbert S. Zuckerman, On the coefficients of certain modular forms belonging to subgroups of the modular group, Trans. Amer. Math. Soc. 45 (1939), 289-321. MR 1501993
  • 21. Herbert S. Zuckerman, On the expansions of certain modular forms of positive dimension. Amer. J. Math. 62 (1940), 127-152. MR 1, 214. MR 1306

Review Information:

Reviewer: H. M. Stark
Journal: Bull. Amer. Math. Soc. 81 (1975), 663-672
DOI: https://doi.org/10.1090/S0002-9904-1975-13815-8
American Mathematical Society