Directions in number theory : proceedings of the 2014 WIN3 workshop / Ellen E. Eischen ... [et al.] editors |
Pubbl/distr/stampa | [Cham], : Springer, 2016 |
Descrizione fisica | XV, 339 p. : ill. ; 24 cm |
Soggetto topico |
11-XX - Number theory [MSC 2020]
11Rxx - Algebraic number theory: global fields [MSC 2020] 11T71 Algebraic coding theory; cryptography [MSC 2020] 00B25 - Proceedings of conferences of miscellaneous specific interest [MSC 2020] 11F70 - Representation-theoretic methods; automorphic representations over local and global fields [MSC 2020] 11Gxx - Arithmetic algebraic geometry (Diophantine geometry) [MSC 2020] 33C05 - Classical hypergeometric functions, ${}_2F_1$ [MSC 2020] 94B05 - Linear codes, general [MSC 2020] 11D41 - Higher degree equations; Fermat's equation [MSC 2020] |
Soggetto non controllato |
Algebraic number theory
Analytic Number Theory Applied number theory Arithmetic Geometry Arithmetic of curves Cryptography Elliptic curves Galois theory Hecke operators P-adic automorphic forms Rational points on varieties via cohomological methods Rational points over number fields Shimura curves |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Titolo uniforme | |
Record Nr. | UNICAMPANIA-VAN0114637 |
[Cham], : Springer, 2016 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Vanvitelli | ||
|
The Gross-Zagier formula on Shimura curves [[electronic resource] /] / Xinyi Yuan, Shou-wu Zhang, and Wei Zhang |
Autore | Yuan Xinyi <1981-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, 2012, c2013 |
Descrizione fisica | 1 online resource (267 p.) |
Disciplina | 516.3/52 |
Altri autori (Persone) |
ZhangShouwu
ZhangWei <1981-> |
Collana | Annals of mathematics studies |
Soggetto topico |
Shimura varieties
Arithmetical algebraic geometry Automorphic forms Quaternions |
Soggetto non controllato |
Arakelov theory
Benedict Gross Don Zagier EichlerГhimura theory Eisenstein series GrossКagier formula Heegner point Hodge bundle Hodge index theorem L-series MordellЗeil group NeronДate height RankinГelberg L-function Schwartz function Shimizu lifting Shimura curve Shimura curves SiegelЗeil formula Waldspurger formula Weil representation abelian varieties analytic kernel function analytic kernel degenerate Schwartz function discrete series generating series geometric kernel height series holomorphic kernel function holomorphic projection incoherent Eisenstein series incoherent automorphic representation incoherent quaternion algebra kernel function kernel identity local height modular curve modularity multiplicity function non-archimedean local field non-degenerate quadratic space ordinary component orthogonal space projector pull-back formula ramified quadratic extension supersingular component superspecial component theta function theta liftings theta series trace identity un-normalized kernel function unramified quadratic extension |
ISBN |
9786613883919
1-4008-4564-5 1-283-57146-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Introduction and Statement of Main Results -- Chapter Two. Weil Representation and Waldspurger Formula -- Chapter Three. Mordell-Weil Groups and Generating Series -- Chapter Four. Trace of the Generating Series -- Chapter Five. Assumptions on the Schwartz Function -- Chapter Six. Derivative of the Analytic Kernel -- Chapter Seven. Decomposition of the Geometric Kernel -- Chapter Eight. Local Heights of CM Points -- Bibliography -- Index |
Record Nr. | UNINA-9910790961403321 |
Yuan Xinyi <1981-> | ||
Princeton, : Princeton University Press, 2012, c2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|
The Gross-Zagier formula on Shimura curves [[electronic resource] /] / Xinyi Yuan, Shou-wu Zhang, and Wei Zhang |
Autore | Yuan Xinyi <1981-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, : Princeton University Press, 2012, c2013 |
Descrizione fisica | 1 online resource (267 p.) |
Disciplina | 516.3/52 |
Altri autori (Persone) |
ZhangShouwu
ZhangWei <1981-> |
Collana | Annals of mathematics studies |
Soggetto topico |
Shimura varieties
Arithmetical algebraic geometry Automorphic forms Quaternions |
Soggetto non controllato |
Arakelov theory
Benedict Gross Don Zagier EichlerГhimura theory Eisenstein series GrossКagier formula Heegner point Hodge bundle Hodge index theorem L-series MordellЗeil group NeronДate height RankinГelberg L-function Schwartz function Shimizu lifting Shimura curve Shimura curves SiegelЗeil formula Waldspurger formula Weil representation abelian varieties analytic kernel function analytic kernel degenerate Schwartz function discrete series generating series geometric kernel height series holomorphic kernel function holomorphic projection incoherent Eisenstein series incoherent automorphic representation incoherent quaternion algebra kernel function kernel identity local height modular curve modularity multiplicity function non-archimedean local field non-degenerate quadratic space ordinary component orthogonal space projector pull-back formula ramified quadratic extension supersingular component superspecial component theta function theta liftings theta series trace identity un-normalized kernel function unramified quadratic extension |
ISBN |
9786613883919
1-4008-4564-5 1-283-57146-3 |
Formato | Materiale a stampa |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. Introduction and Statement of Main Results -- Chapter Two. Weil Representation and Waldspurger Formula -- Chapter Three. Mordell-Weil Groups and Generating Series -- Chapter Four. Trace of the Generating Series -- Chapter Five. Assumptions on the Schwartz Function -- Chapter Six. Derivative of the Analytic Kernel -- Chapter Seven. Decomposition of the Geometric Kernel -- Chapter Eight. Local Heights of CM Points -- Bibliography -- Index |
Record Nr. | UNINA-9910817785603321 |
Yuan Xinyi <1981-> | ||
Princeton, : Princeton University Press, 2012, c2013 | ||
Materiale a stampa | ||
Lo trovi qui: Univ. Federico II | ||
|