A lower bound for the zeros of Riemann's zeta function on the critical line

Enrico Bombieri

Displaying similar documents to “A lower bound for the zeros of Riemann's zeta function on the critical line”

Some problems on mean values of the Riemann zeta-function

Aleksandar Ivić (1996)

Journal de théorie des nombres de Bordeaux

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Several problems and results on mean values of $ζ (s)$ are discussed. These include mean values of $| ζ (\frac{1}{2} + i t) |$ and the fourth moment of $| ζ (σ + i t) |$ for $1 / 2 < σ < 1$ .

Riemann's Hypothesis

Rusev, Peter (2010)

Union of Bulgarian Mathematicians

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Riemann’s memoir is devoted to the function π(x) defined as the number of prime numbers less or equal to the real and positive number x. This is really the fact, but the “main role” in it is played by the already mentioned zeta-function.

Dirichlet polynomial approximations to zeta functions

E. Bombieri, J. B. Friedlander (1995)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Zeta functions for the Riemann zeros

André Voros (2003)

Annales de l’institut Fourier

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A family of Zeta functions built as Dirichlet series over the Riemann zeros are shown to have meromorphic extensions in the whole complex plane, for which numerous analytical features (the polar structures, plus countably many special values) are explicitly displayed.