Elliptic Functions (Graduate Texts in Mathematics, Vol. 112)

Graduate Texts in Mathematics #112

by Serge Lang

Elliptic functions parametrize elliptic curves, and the intermingling of the analytic and algebraic-arithmetic theory has been at the center of mathematics since the early part of the nineteenth century. The book is divided into four parts. In the first, Lang presents the general analytic theory starting from scratch. Most of this can be read by a student with a basic knowledge of complex analysis. The next part treats complex multiplication, including a discussion of Deuring's theory of l-adic and p-adic representations, and elliptic curves with singular invariants. Part three covers curves with non-integral invariants, and applies the Tate parametrization to give Serre's results on division points. The last part covers theta functions and the Kronecker Limit Formula. Also included is an appendix by Tate on algebraic formulas in arbitrary charactistic.

Genres: Mathematics

340 pages, Hardcover

First published December 31, 1973

About the author

Serge Lang was an influential mathematician in the field of number theory. Algebra is his most famous book.

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Reviews

[Dan · Rating 2 out of 5]

I used results from this book on a term paper I was writing.

Specifically, I used information about Complex Multiplication.

Serge Lang write dense encyclopedic volumes. It is difficult to read, but a great reference. Not the best to learn from.