Title Ranks of Elliptic Curves and Random Matrix Theory / edited by J.B. Conrey, D.W. Farmer, F. Mezzadri, N.C. Snaith

Published Cambridge : Cambridge University Press, 2007

Click on the following:
EBSCO eBooks

Copies

Description 1 online resource (368 pages) Series London Mathematical Society Lecture Note Series ; no. 341 London Mathematical Society lecture note series ; no. 341. Contents 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 Summary This comprehensive volume introduces elliptic curves and the fundamentals of modeling by a family of random matrices Notes Title from publishers bibliographic system (viewed 22 Dec 2011) Bibliography Includes bibliographical references and index Notes English Subject Curves, Elliptic -- Congresses Random matrices -- Congresses MATHEMATICS -- Geometry -- Algebraic. Curves, Elliptic Random matrices Genre/Form Conference papers and proceedings Form Electronic book Author Conrey, J. B Farmer, D. W Mezzadri, F Snaith, N. C ISBN 9780511735158 0511735154 9780521699648 0521699649 9781107367876 1107367875 9781107362963 1107362962 1139882686 9781139882682 1107372410 9781107372412 1107368987 9781107368989 1299405479 9781299405479 1107365414 9781107365414

  Permalink