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Book Review
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Book Information
Author(s):
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:
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- 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
Additional Information:
Reviewer(s):
H. M.
Stark
Review Information:
Journal:
Bull. Amer. Math. Soc.
81
(1975),
663-672.
DOI:
10.1090/S0002-9904-1975-13815-8
PII:
S 0002-9904(1975)13815-8
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