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Zbl 0615.14018
Lang, Serge
Elliptic functions. Second edition. (English)
[B] Graduate Texts in Mathematics, 112. New York etc.: Springer-Verlag. XI, 326 p.; DM 78.00 (1987). ISBN 0-387-96508-4

This book is unchanged from the first edition (by Addison-Wesley Publishing Company, 1973; Zbl 0316.14001) except for the corrections of some misprints, and two items: 1. John Coates pointed out to me a mistake in chapter 21, dealing with the L-functions for an order. Hence I have eliminated the reference to orders at that point, and deal only with the absolute class group. - 2. I have renormalized the functions in chapter 19, following {\it D. Kubert} and the author [in Math. Ann. 218, 61-96; 175-189; 273-285 (1975; Zbl 0311.14005)]. Thus I use the Klein forms and Siegel functions as in that reference. Actually, the final formulation of Kronecker's second limit formula comes out neater under this renormalization.

MSC 2000:: *14Hxx Curves
14-02 Research monographs (algebraic geometry)
11-02 Research monographs (number theory)
11R58 Arithmetic theory of algebraic function fields
11F03 Modular and automorphic functions
14H05 Algebraic functions
11G15 Complex multiplication and moduli of abelian varieties
14K22 Complex multiplication (abelian varieties)
12-02 Research monographs (field theory)

Citations: Zbl 0316.14001; Zbl 0311.14005

Cited in: Zbl 0991.11028 Zbl 0826.11025 Zbl 0701.11001

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	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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