Zeta Functions over Zeros of Zeta Functions

• Main Author: Voros, André (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Lecture Notes of the Unione Matematica Italiana, 8
• Subjects: Mathematics.; Approximation theory.; Functions of complex variables.; Number theory.; Number Theory.; Functions of a Complex Variable.; Approximations and Expansions.

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, whi...