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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.
|
| Edición: | 1st ed. 2010. |
| Colección: | Lecture Notes of the Unione Matematica Italiana,
8 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-642-05203-3 | ||
| 003 | DE-He213 | ||
| 005 | 20230812015621.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 100301s2010 gw | s |||| 0|eng d | ||
| 020 | |a 9783642052033 |9 978-3-642-05203-3 | ||
| 024 | 7 | |a 10.1007/978-3-642-05203-3 |2 doi | |
| 050 | 4 | |a QA241-247.5 | |
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| 072 | 7 | |a PBH |2 thema | |
| 082 | 0 | 4 | |a 512.7 |2 23 |
| 100 | 1 | |a Voros, André. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Zeta Functions over Zeros of Zeta Functions |h [electronic resource] / |c by André Voros. |
| 250 | |a 1st ed. 2010. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2010. | |
| 300 | |a XVII, 163 p. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Lecture Notes of the Unione Matematica Italiana, |x 1862-9121 ; |v 8 | |
| 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. | |
| 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. | ||
| 650 | 0 | |a Number theory. | |
| 650 | 0 | |a Functions of complex variables. | |
| 650 | 0 | |a Approximation theory. | |
| 650 | 1 | 4 | |a Number Theory. |
| 650 | 2 | 4 | |a Functions of a Complex Variable. |
| 650 | 2 | 4 | |a Approximations and Expansions. |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642052262 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642052026 |
| 830 | 0 | |a Lecture Notes of the Unione Matematica Italiana, |x 1862-9121 ; |v 8 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-05203-3 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||