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ISSN 1088-9485(e) ISSN 0273-0979(p)

Book Review

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Book Information

Author(s): Fred Diamond and Jerry Shurman
Title: A first course in modular forms
Additional book information: Graduate Texts in Mathematics, vol. 228, Springer-Verlag, New York, 2005, xvi + 436 pp., US$69.95, ISBN 0-387-23229-X

References:

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 http://modular.fas.harvard.edu/antwerp_photo/

2.

A.O.L. Atkin and J. Lehner, Hecke operators on $\Gamma_0(m)$ , Math. Ann. 185 1970 134-160. MR 0268123 (42:3022)

3.

B. Birch Some calculations of modular relations, Modular functions of one variable, I (Proc. Internat. Summer School, Univ. Antwerp, 1972), pp. 175-186. Lecture Notes in Mathematics, Vol. 320, Springer, Berlin, 1973. MR 0332658 (48:10984)

4.

Modular forms and Fermat's last theorem. Papers from the Instructional Conference on Number Theory and Arithmetic Geometry held at Boston University, Boston, MA, August 9-18, 1995. Edited by Gary Cornell, Joseph H. Silverman and Glenn Stevens. Springer-Verlag, New York, 1997. MR 1638473 (99k:11004)

5.

A. Knapp, Elliptic curves, Mathematical Notes, 40. Princeton University Press, Princeton, NJ, 1992. MR 1193029 (93j:11032)

6.

G. Shimura, Introduction to the arithmetic theory of automorphic functions, Kanã Memorial Lectures, No. 1. Publications of the Mathematical Society of Japan, No. 11. Iwanami Shoten, Publishers, Tokyo; Princeton University Press, Princeton, NJ, 1971. MR 0314766 (47:3318)

7.

J. Silverman, The arithmetic of elliptic curves, Graduate Texts in Mathematics, 106. Springer-Verlag, New York, 1986. MR 0817210 (87g:11070)

8.

J. Silverman, Advanced topics in the arithmetic of elliptic curves, Graduate Texts in Mathematics, 151. Springer-Verlag, New York, 1994. MR 1312368 (96b:11074)

Additional Information:

Reviewer(s):
Frank Calegari
Affiliation: Harvard University
Email: fcale@math.harvard.edu

Review Information:
Journal: Bull. Amer. Math. Soc. 43 (2006), 415-421.

MSC (2000): Primary 11Fxx
PII: S 0273-0979(06)01098-6
Posted: April 18, 2006
Copyright of article: Copyright 2006, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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