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...
Wedi'i Gadw mewn:
| Prif Awdur: | |
|---|---|
| Fformat: | Livre numérique |
| Iaith: | Anglais |
| Cyhoeddwyd: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Cyfres: | Lecture Notes of the Unione Matematica Italiana
8 |
| Mynediad Ar-lein: | 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 |
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Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
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| 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 |
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| 009 | PPN149054645 | ||
| 020 | |a 9783642052033 | ||
| 041 | 0 | |a eng | |
| 082 | |a 512.7 | ||
| 100 | 1 | |a Voros, André, |c physicien. | |
| 245 | 1 | 0 | |a Zeta Functions over Zeros of Zeta Functions |c by André Voros. |
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Lecture Notes of the Unione Matematica Italiana |v 8 |x 1862-9121 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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. | ||
| 776 | 0 | |t Zeta Functions over Zeros of Zeta Functions |b Texte imprimé |z 9783642052262 | |
| 776 | 0 | |0 148263461 |t Zeta functions over zeros of zeta functions |f André Voros |d 2010 |c Heidelberg |n Springer |n UMI |p 1 vol. (XVI-163 p.) |s Lecture notes of the Unione Matematica Italiana |z 978-3-642-05202-6 | |
| 856 | 4 | |q PDF |u https://doi.org/10.1007/978-3-642-05203-3 |z Accès sur la plateforme de l'éditeur | |
| 856 | 4 | |u https://doi.org/10.1007/978-3-642-05203-3 |z Accès sur la plateforme de l'éditeur (Springer) | |
| 856 | 4 | |u https://revue-sommaire.istex.fr/ark:/67375/8Q1-912FJG0X-3 |z Accès sur la plateforme Istex | |
| 856 | 4 | |5 452349901:747831394 |u https://ezproxy.univ-orleans.fr/login?url=https://dx.doi.org/10.1007/978-3-642-05203-3 |z Accès Université d'Orléans | |
| 856 | 4 | |5 180339901:750848790 |u https://ezproxy.insa-cvl.fr/login?qurl=https://dx.doi.org/10.1007/978-3-642-05203-3 |z Accès INSA CVL | |
| 997 | |0 942903 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||