On the order of the Titchmarsh's sum in the theory of the Riemann zeta-function and on the biquadratic effect in the information theory

Details On the order of the Titchmarsh's sum in the theory of the Riemann zeta-function and on the biquadratic effect in the information theory On the order of the Titchmarsh's sum in the theory of the Riemann zeta-function and on the biquadratic effect in the information theory

2011-12-27

arxiv.org/abs/1112.5948v1

Czech. Math. J. 41 (116), 663 - 684, (1991)

Mathematics

Classical Analysis and ODEs

Scientific paper

We obtain in this paper the solution of the classical problem on the order of
the Titchmarsh's sum (1934). Simultaneously, we obtain a connection of this
problem and the Kotelnikoff-Whittaker-Nyquist's theorem from the information
theory.

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