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Zeta Functions over Zeros of Zeta Functions
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 prope...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2010.
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| Edición: | 1st ed. 2010. |
| Colección: | Lecture Notes of the Unione Matematica Italiana,
8 |
| Temas: | |
| Acceso en línea: | Texto Completo |
Tabla de Contenidos:
- Infinite Products and Zeta-Regularization
- The Riemann Zeta Function #x03B6;(): a Primer
- Riemann Zeros and Factorizations of the Zeta Function
- Superzeta Functions: an Overview
- Explicit Formulae
- The Family of the First Kind {#x2112; ( / )}
- The Family of the Second Kind
- The Family of the Third Kind
- Extension to Other Zeta- and -Functions
- Application: an Asymptotic Criterion for the Riemann Hypothesis.