Zeta Functions over Zeros of Zeta Functions [recurso electrónico] / by André Voros.
Tipo de material:
TextoSeries Lecture Notes of the Unione Matematica Italiana ; 8Editor: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010Descripción: XVII, 163p. online resourceTipo de contenido: text Tipo de medio: computer Tipo de portador: online resourceISBN: 9783642052033Tema(s): Mathematics | Functions of complex variables | Number theory | Mathematics | Number Theory | Functions of a Complex Variable | Approximations and ExpansionsFormatos físicos adicionales: Printed edition:: Sin títuloClasificación CDD: 512.7 Clasificación LoC:QA241-247.5Recursos en línea: Libro electrónico
En: Springer eBooksResumen: The famous zeros of the Riemann zeta function and its generalizations (L-functions, Dedekind and Selberg zeta functions) are analyzed through several zeta functions built over those zeros. These ‘second-generation’ zeta functions have surprisingly many explicit, yet largely unnoticed properties, which are surveyed here in an accessible and synthetic manner, and then compiled in numerous tables. No previous book has addressed this neglected topic in analytic number theory. Concretely, this handbook will help anyone faced with symmetric sums over zeros like Riemann’s. More generally, it aims at reviving the interest of number theorists and complex analysts toward those unfamiliar functions, on the 150th anniversary of Riemann’s work.
| Tipo de ítem | Biblioteca actual | Colección | Signatura | Copia número | Estado | Fecha de vencimiento | Código de barras |
|---|---|---|---|---|---|---|---|
| Libro Electrónico | Biblioteca Electrónica | Colección de Libros Electrónicos | QA241 -247.5 (Browse shelf(Abre debajo)) | 1 | No para préstamo | 373750-2001 |
The famous zeros of the Riemann zeta function and its generalizations (L-functions, Dedekind and Selberg zeta functions) are analyzed through several zeta functions built over those zeros. These ‘second-generation’ zeta functions have surprisingly many explicit, yet largely unnoticed properties, which are surveyed here in an accessible and synthetic manner, and then compiled in numerous tables. No previous book has addressed this neglected topic in analytic number theory. Concretely, this handbook will help anyone faced with symmetric sums over zeros like Riemann’s. More generally, it aims at reviving the interest of number theorists and complex analysts toward those unfamiliar functions, on the 150th anniversary of Riemann’s work.
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