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

    Ramūnas Garunkštis Info
    Joern Steuding Info
DOI: https://doi.org/10.3846/13926292.2011.560616

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.

Keywords:

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

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April 8, 2011
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2011-04-08

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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

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