Shortcuts
Top of page (Alt+0)
Page content (Alt+9)
Page menu (Alt+8)
Your browser does not support javascript, some WebOpac functionallity will not be available.
.
Default
.
PageMenu
-
Home
-
Ricerca Semplice
.
Ricerca Avanzata
.
Cerca Riviste
.
Raffina risultati ricerca
.
Preferenze
.
Search Menu
Ricerca Semplice
.
Ricerca Avanzata
.
Ricerca Nuovi Doc.
.
Cerca Riviste
.
Raffina risultati ricerca
.
Bottom Menu
Help
Italiano
.
Inglese
.
Tedesco
.
New Item Menu
Ricerca Nuovi Doc.
.
Elenco Novità
.
Legami
SISSA Library
.
ICTP library
.
Italian National web catalog (SBN)
.
Trieste University web catalog
.
Udine University web catalog
.
© LIBERO v6.4.1sp220816
Page content
You are here
:
>
Search Simple
Visualizza Catalogo
Visualizza Catalogo
Elliptic Functions
.
Bookmark this Record
Catalogue Record 42713
.
.
Author info on Wikipedia
.
.
Biblioteca
.
.
Libri Google
.
.
Amazon Books
.
Catalogue Information
Catalogue Record 42713
.
Reviews
Catalogue Record 42713
.
British Library
Resolver for RSN-42713
Google Scholar
Resolver for RSN-42713
WorldCat
Resolver for RSN-42713
Catalogo Nazionale SBN
Resolver for RSN-42713
GoogleBooks
Resolver for RSN-42713
ICTP Library
Resolver for RSN-42713
.
Share Link
Jump to link
Catalogue Information
Nome campo
dettagli
Dewey Class
515
Titolo
Elliptic Functions ([EBook]) / by Serge Lang.
Autore
Lang, Serge. , 1927-2005
Other name(s)
SpringerLink (Online service)
Edition statement
Second Edition.
Pubblicazione
New York, NY : Springer , 1987.
Physical Details
XII, 328 pages : online resource.
Serie
Graduate texts in mathematics
0072-5285 ; ; 112
ISBN
9781461247524
Summary Note
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.:
Contents note
One General Theory -- 1 Elliptic Functions -- 2 Homomorphisms -- 3 The Modular Function -- 4 Fourier Expansions -- 5 The Modular Equation -- 6 Higher Levels -- 7 Automorphisms of the Modular Function Field -- Two Complex Multiplication Elliptic Curves With Singular Invariants -- 8 Results from Algebraic Number Theory -- 9 Reduction of Elliptic Curves -- 10 Complex Multiplication -- 11 Shimura’s Reciprocity Law -- 12 The Function ?(??)/?(?) -- 13 The ?-adic and p-adic Representations of Deuring -- 14 Ihara’s Theory -- Three Elliptic Curves with Non-Integral Invariant -- 15 The Tate Parametrization -- 16 The Isogeny Theorems -- 17 Division Points Over Number Fields -- Four Theta Functions and Kronecker Limit Formula -- 18 Product Expansions -- 19 The Siegel Functions and Klein Forms -- 20 The Kronecker Limit Formulas -- 21 The First Limit Formula and L-series -- 22 The Second Limit Formula and L-series -- Appendix 1 Algebraic Formulas in Arbitrary Characteristic -- By J. Tate -- 1 Generalized Weierstrass Form -- 2 Canonical Forms -- Appendix 2 The Trace of Frobenius and the Differential of First Kind -- 1 The Trace of Frobenius -- 2 Duality -- 3 The Tate Trace -- 4 The Cartier Operator -- 5 The Hasse Invariant.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4612-4752-4
Link alle Opere Legate
Riferimenti soggetto:
.
Analysis
.
Analysis (Mathematics)
.
Mathematical analysis
.
Mathematics
.
Authors:
Lang, Serge. 1927-2005
.
Lang, Serge, 1927-2005.
.
Corporate Authors:
SpringerLink (Online service)
.
Series:
Graduate texts in mathematics
.
GTM
.
Classification:
515
.
.
Display ISBD
Catalogue Record 42713
.
Display Tag
Catalogue Record 42713
.
Opere Correlate
Catalogue Record 42713
.
Marc XML
Catalogue Record 42713
.
Aggiungi Titolo al Carrello
Catalogue Record 42713
.
Catalogue Information 42713
Beginning of record
.
Catalogue Information 42713
Top of page
.
Scarica Titolo
Catalogue Record 42713
Export
This Record
As
Labelled Format
Bibliographic Format
ISBD Format
MARC Format
MARC Binary Format
MARCXML Format
User-Defined Format:
Title
Author
Series
Publication Details
Subject
To
File
Email
Reviews
This item has not been rated.
Add a Review and/or Rating
42713
1
42713
-
2
42713
-
3
42713
-
4
42713
-
5
42713
-
Quick Search
Cerca per