Ranks of elliptic curves and random matrix theory / (Record no. 517368)
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| fixed length control field | 04531nam a22003978i 4500 |
| 001 - CONTROL NUMBER | |
| control field | CR9780511735158 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | UkCbUP |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20200124160228.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION | |
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| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr|||||||||||| |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 100325s2007||||enk o ||1 0|eng|d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9780511735158 (ebook) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Cancelled/invalid ISBN | 9780521699648 (paperback) |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | UkCbUP |
| Language of cataloging | eng |
| Description conventions | rda |
| Transcribing agency | UkCbUP |
| 050 00 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA567.2.E44 |
| Item number | R36 2007 |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.352 |
| Edition number | 22 |
| 245 00 - TITLE STATEMENT | |
| Title | Ranks of elliptic curves and random matrix theory / |
| Statement of responsibility, etc | edited by J.B. Conrey [and others]. |
| 246 3# - VARYING FORM OF TITLE | |
| Title proper/short title | Ranks of Elliptic Curves & Random Matrix Theory |
| 264 #1 - Production, Publication, Distribution, Manufacture, and Copyright Notice (R) | |
| Place of production, publication, distribution, manufacture (R) | Cambridge : |
| Name of producer, publisher, distributor, manufacturer (R) | Cambridge University Press, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2007. |
| 300 ## - PHYSICAL DESCRIPTION | |
| Extent | 1 online resource (vi, 361 pages) : |
| Other physical details | digital, PDF file(s). |
| 336 ## - Content Type (R) | |
| Content type term (R) | text |
| Content type code (R) | txt |
| Source (NR) | rdacontent |
| 337 ## - Media Type (R) | |
| Media type term (R) | computer |
| Media type code (R) | c |
| Source (NR) | rdamedia |
| 338 ## - Carrier Type (R) | |
| Carrier type term (R) | online resource |
| Carrier type code (R) | cr |
| Source (NR) | rdacarrier |
| 490 1# - SERIES STATEMENT | |
| სერიის ცნობა | London Mathematical Society lecture note series ; |
| Volume number/sequential designation | 341 |
| 500 ## - GENERAL NOTE | |
| General note | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| 505 0# - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Introduction J.B. Conrey, D.W. Farmer, F. Mezzadri and N.C. Snaith -- Part I. Families: Elliptic curves, rank in families and random matrices E. Kowalski -- Modeling families of L-functions D.W. Farmer -- Analytic number theory and ranks of elliptic curves M.P. Young -- The derivative of SO(2N +1) characteristic polynomials and rank 3 elliptic curves N.C. Snaith -- Function fields and random matrices D. Ulmer -- Some applications of symmetric functions theory in random matrix theory A. Gamburd -- Part II. Ranks of Quadratic Twists -- The distribution of ranks in families of quadratic twists of elliptic curves A. Silverberg -- Twists of elliptic curves of rank at least four K. Rubin and A. Silverberg -- The powers of logarithm for quadratic twists C. Delaunay and M. Watkins -- Note on the frequency of vanishing of L-functions of elliptic curves in a family of quadratic twists C. Delaunay -- Discretisation for odd quadratic twists J.B. Conrey, M.O. Rubinstein, N.C. Snaith and M. Watkins -- Secondary terms in the number of vanishings of quadratic twists of elliptic curve L-functions J.B. Conrey, A. Pokharel, M.O. Rubinstein and M. Watkins -- Fudge factors in the Birch and Swinnerton-Dyer Conjecture K. Rubin -- Part III. Number Fields and Higher Twists -- Rank distribution in a family of cubic twists M. Watkins -- Vanishing of L-functions of elliptic curves over number fields C. David, J. Fearnley and H. Kisilevsky -- Part IV. Shimura Correspondence, and Twists -- Computing central values of L-functions F. Rodriguez-Villegas -- Computation of central value of quadratic twists of modular L-functions Z. Mao, F. Rodriguez-Villegas and G. Tornaria -- Examples of Shimura correspondence for level p2 and real quadratic twists A. Pacetti and G. Tornaria -- Central values of quadratic twists for a modular form of weight H. Rosson and G. Tornaria -- Part V. Global Structure: Sha and Descent -- Heuristics on class groups and on Tate-Shafarevich groups C. Delaunay -- A note on the 2-part of X for the congruent number curves D.R. Heath-Brown -- 2-Descent tThrough the ages P. Swinnerton-Dyer. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc | Random matrix theory is an area of mathematics first developed by physicists interested in the energy levels of atomic nuclei, but it can also be used to describe some exotic phenomena in the number theory of elliptic curves. The purpose of this book is to illustrate this interplay of number theory and random matrices. It begins with an introduction to elliptic curves and the fundamentals of modelling by a family of random matrices, and moves on to highlight the latest research. There are expositions of current research on ranks of elliptic curves, statistical properties of families of elliptic curves and their associated L-functions and the emerging uses of random matrix theory in this field. Most of the material here had its origin in a Clay Mathematics Institute workshop on this topic at the Newton Institute in Cambridge and together these contributions provide a unique in-depth treatment of the subject. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Curves, Elliptic |
| Form subdivision | Congresses. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name as entry element | Random matrices |
| Form subdivision | Congresses. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Conrey, J. B., |
| Relator term | editor. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | Isaac Newton Institute for Mathematical Sciences, |
| Relator term | issuing body. |
| 710 2# - ADDED ENTRY--CORPORATE NAME | |
| Corporate name or jurisdiction name as entry element | Clay Mathematics Institute, |
| Relator term | issuing body. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Display text | Print version: |
| International Standard Book Number | 9780521699648 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | London Mathematical Society lecture note series ; |
| Volume number/sequential designation | 341. |
| 856 40 - ELECTRONIC LOCATION AND ACCESS | |
| Uniform Resource Identifier | <a href="https://doi.org/10.1017/CBO9780511735158">https://doi.org/10.1017/CBO9780511735158</a> |
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