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Arithmetic of L-functions [the 2009 IAS/PCMI graduate summer school 🔍
Cristian Popescu, Karl Rubin, Alice Silverberg, editors American Mathematical Society ; Institute for Advanced Study, IAS/Park City Mathematics Series, IAS / Park City Mathematics, 2011
English [en] · DJVU · 5.5MB · 2011 · 📘 Book (non-fiction) · 🚀/lgli/lgrs/nexusstc/upload/zlib · Save
description
The overall theme of the 2009 IAS/PCMI Graduate Summer School was connections between special values of $L$-functions and arithmetic, especially the Birch and Swinnerton-Dyer Conjecture and Stark's Conjecture. These conjectures are introduced and discussed in depth, and progress made over the last 30 years is described. This volume contains the written versions of the graduate courses delivered at the summer school. It would be a suitable text for advanced graduate topics courses on the Birch and Swinnerton-Dyer Conjecture and/or Stark's Conjecture. The book will also serve as a reference volume for experts in the field. Titles in this series are co-published with the Institute for Advanced Study/Park City Mathematics Institute. Members of the Mathematical Association of America (MAA) and the National Council of Teachers of Mathematics (NCTM) receive a 20% discount from list price.
Alternative filename
nexusstc/Arithmetic of 𝐿-functions/a94e22e534ae37997ef415295e74968e.djvu
Alternative filename
lgli/Arithmetic of L-functions.djvu
Alternative filename
lgrsnf/Arithmetic of L-functions.djvu
Alternative title
Arithmetic of L-functions [the 2009 IAS PCMI graduate summer school
Alternative publisher
Education Development Center, Incorporated
Alternative edition
IAS/Park City mathematics series -- v. 18, Providence, R.I, [Princeton, N.J.], Rhode Island, 2011
Alternative edition
IAS/Park City mathematics series, no. 18, Providence, R.I. : [Princeton, N.J, ©2011
Alternative edition
IAS/ Park City mathematics series, Providence, RI, 2011
Alternative edition
Park City Mathematics Institute, Providence, R.I, 2011
Alternative edition
American Mathematical Society, Providence, R.I., 2011
Alternative edition
United States, United States of America
metadata comments
0
metadata comments
lg1511079
metadata comments
{"container_title":"IAS/Park City Mathematics Series","isbns":["0821853201","1470416328","9780821853207","9781470416324"],"issns":["1079-5634","2472-5064"],"last_page":499,"publisher":"American Mathematical\n Society","series":"IAS / Park City Mathematics"}
metadata comments
Includes bibliographical references.
Alternative description
Pt. I. Stark's Conjecture -- Stark's Basic Conjecture -- The Origin Of The Stark Conjectures -- Integral And P-adic Refinements Of The Abelian Stark Conjecture -- Special Values Of L-functions At Negative Integers -- An Introduction To The Equivariant Tamagawa Number Conjecture : The Relation To Stark's Conjecture -- Pt. Ii. Birch And Swinnerton-dyer Conjecture -- Introduction To Elliptic Curves -- Lectures On The Conjecture Of Birch And Swinnerton-dyer -- Elliptic Curves Over Function Fields -- Heegner's Proof -- Complex Multiplication : A Concise Introduction -- The Equivariant Tamagawa Number Conjecture And The Birch-swinnerton-dyer Conjecture -- Pt. Iii. Analytic And Cohomological Methods -- Root Numbers -- Euler Systems And Kolyvagin Systems. Cristian Popescu, Karl Rubin, Alice Silverberg, Editors. Includes Bibliographical References.
date open sourced
2016-06-04
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