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Ranks of Elliptic Curves and Random Matrix Theory /
This comprehensive volume introduces elliptic curves and the fundamentals of modeling by a family of random matrices.
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | , , , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2007.
|
| Colección: | London Mathematical Society lecture note series ;
no. 341. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 245 | 0 | 0 | |a Ranks of Elliptic Curves and Random Matrix Theory / |c edited by J.B. Conrey, D.W. Farmer, F. Mezzadri, N.C. Snaith. |
| 260 | |a Cambridge : |b Cambridge University Press, |c 2007. | ||
| 300 | |a 1 online resource (368 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society Lecture Note Series ; |v no. 341 | |
| 500 | |a Title from publishers bibliographic system (viewed 22 Dec 2011). | ||
| 520 | |a This comprehensive volume introduces elliptic curves and the fundamentals of modeling by a family of random matrices. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 505 | 0 | |a 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. | |
| 546 | |a English. | ||
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Curves, Elliptic |v Congresses. | |
| 650 | 0 | |a Random matrices |v Congresses. | |
| 650 | 6 | |a Courbes elliptiques |v Congrès. | |
| 650 | 6 | |a Matrices aléatoires |v Congrès. | |
| 650 | 7 | |a MATHEMATICS |x Geometry |x Algebraic. |2 bisacsh | |
| 650 | 7 | |a Curves, Elliptic. |2 fast |0 (OCoLC)fst00885455 | |
| 650 | 7 | |a Random matrices. |2 fast |0 (OCoLC)fst01089803 | |
| 655 | 7 | |a Conference papers and proceedings. |2 fast |0 (OCoLC)fst01423772 | |
| 700 | 1 | |a Conrey, J. B. | |
| 700 | 1 | |a Farmer, D. W. | |
| 700 | 1 | |a Mezzadri, F. | |
| 700 | 1 | |a Snaith, N. C. | |
| 776 | 0 | 8 | |i Print version: |z 9780521699648 |
| 830 | 0 | |a London Mathematical Society lecture note series ; |v no. 341. | |
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