## Elliptic FunctionsElliptic 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. |

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#### Review: Elliptic Functions

User Review - Dan - GoodreadsI 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. Read full review

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Discriminants Izrailʹ Moiseevich Gelʹfand,M. Mikhail M. Kapranov,Andrey V. Zelevinsky No preview available - 1994 |

### References from web pages

Weierstrass's elliptic functions - Wikipedia, the free encyclopedia

In mathematics, Weierstrass's elliptic functions are elliptic functions that take a particularly simple form (cf Jacobi's elliptic functions); ...

en.wikipedia.org/ wiki/ Weierstrass's_elliptic_functions

Review: Serge Lang, Elliptic functions

Serge Lang, Elliptic functions. Addison Wesley, Reading, Mass., 1973, xii + 326 pp., $17.50. Full-text: Access by subscription ...

projecteuclid.org/ handle/ euclid.bams/ 1183538113

Elliptic Functions -- from Eric Weisstein's Encyclopedia of **...**

The Elliptic Functions as They Should Be: An Account, with Applications, of the Functions in a New Canonical Form. Cambridge, England: Galloway and Porter, ...

www.ericweisstein.com/ encyclopedias/ books/ EllipticFunctions.html

week13

2) Elliptic Functions by Serge Lang, Springer-Verlag, 2nd edition, 1987. ... Elliptic functions are a beautiful generalization of all of this stuff. ...

math.ucr.edu/ home/ baez/ week13.html

Basic Library List-Number Theory

Elliptic Functions. Springer-Verlag New York, 1985. ISBN 0387152954. Husemoller, Dale. ... Elliptic Functions According to Eisenstein and Kronecker. ...

www.maa.org/ BLL/ numtheory.htm

Primi trattati sulle funzioni ellittiche

Lang Serge, Elliptic functions. With an appendix by J. Tate. First Edition. ... Weil André, Elliptic functions according to Eisenstein and Kronecker. ...

digilander.libero.it/ bragafrancesca/ trattmoderna.htm

椭圆函数第2版（影印版）|Graduate Texts in Mathematics|Serge Lang **...**

Elliptic functions parametrize elliptic curves, and the intermingling of the ... PART ONE GENERAL THEORY Chapter 1 Elliptic Functions 1 The Liouville ...

www.golden-book.com/ booksinfo/ 28/ 28471.html

Consulta de catàlegs de l'UPV

Títol, Elliptic functions / Serge Lang. Publicació, Reading (Massachusetts) : Addison-Wesley, 1973. Descripció física, XII, 326 p., grab. 24 cm. ...

www.upv.es/ pls/ obib/ sic_opac.FichaCampos?p_bus=S&

Findbook > 比價資訊> Elliptic Functions

Elliptic Functions. Elliptic Functions. Serge Lang , Addison-Wesley , 1974-06-01. 商品條碼9780201041620, 分類標籤：Reference » History » Hardcover ...

findbook.tw/ book/ 9780201041620/ price

椭圆函数- 读书网|dushu.com

【作者】：（ ）Serge Lang著; 【又/译名】：Elliptic Functions Second ... Elliptic functions parametrize elliptic curves， and the intermingling of the ...

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