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 properties, which...
Salvato in:
| Autore principale: | |
|---|---|
| Natura: | Livre numérique |
| Lingua: | Anglais |
| Pubblicazione: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Serie: | Lecture Notes of the Unione Matematica Italiana
8 |
| Accesso online: | Accès sur la plateforme de l'éditeur Accès sur la plateforme de l'éditeur (Springer) Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Zeta Functions over Zeros of Zeta Functions, Texte imprimé, 9783642052262 • Zeta functions over zeros of zeta functions, André Voros, 2010, Heidelberg, Springer, UMI, 1 vol. (XVI-163 p.), Lecture notes of the Unione Matematica Italiana, 978-3-642-05202-6 |
Sommario:
- 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.