Share:


Questions around the nontrivial zeros of the Riemann zeta-function. Computations and classifications

Abstract

We study the sequence of nontrivial zeros of the Riemann zeta-function with respect to sequences of zeros of other related functions, namely, the Hurwitz zeta-function and the derivative of Riemann's zeta-function. Finally, we investigate connections of the nontrivial zeros with the periodic zeta-function. On the basis of computation we derive several classifications of the nontrivial zeros of the Riemann zeta-function and stateproblems which mightbe ofinterestfor abetter understanding of the distribution of those zeros.

Keyword : Riemann zeta-function, Hurwitz zeta-function, periodic zeta-function, nontrivial zeros

How to Cite
Garunkštis, R., & Steuding, J. (2011). Questions around the nontrivial zeros of the Riemann zeta-function. Computations and classifications. Mathematical Modelling and Analysis, 16(1), 72-81. https://doi.org/10.3846/13926292.2011.560616
Published in Issue
Apr 8, 2011
Abstract Views
73
PDF Downloads
56