ZETA MEAN MOTIONS AND VALUES OF THE RIEMANN FUNCTION.

Ap´ ery of the irrationality of ζ(3) in 1976, a number of articles have been devoted to the study of Diophantine properties of values of the Riemann zeta function at positive

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des

of this fact we shall prove a new omega result for E2(T), the remainder term in the asymptotic formula for the fourth power mean of the Riemann zeta-function.. We start

evaluators associated to the Riemann zeta function and the Dirichlet L- functions have been shown here to be special instances of a more

Since the sequence {F^} converges uniformly on C^ to F, we conclude that given N>o, there exists n^eZ,, n^>_m^ such that if n and n' are integers not less than n^ then

Furthermore, Ullrich (1989, Section 3.5) observes too that other mathematicians dealt with questions concerning entire function factorization methods, amongst whom are just Enrico

In this paper we shall continue our pursuit, specializing to the Riemann zeta-function, and obtain a closed form evaluation thereof at all rational arguments, with no restriction to