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The theory of Hardy's Z-function /
"This book is an outgrowth of a mini-course held at the Arctic Number Theory School, University of Helsinki, May 18-25, 2011. The central topic is Hardy's function, of great importance in the theory of the Riemann zeta-function. It is named after Godfrey Harold Hardy FRS (1877{1947), who w...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge ; New York :
Cambridge University Press,
2013.
|
| Colección: | Cambridge tracts in mathematics ;
196. |
| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Definition of (s), Z(t) and basic notions
- Zeros on the critical line
- Selberg class of L-functions
- Approximate functional equations for k(s)
- Derivatives of Z(t)
- Gram points
- Moments of Hardy's function
- Primitive of Hardy's function
- Mellin transforms of powers of Z(t)
- Further results on Mk(s) and Zk(s)
- On some problems involving Hardy's function.