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Fourier coefficients associated with the Riemann zeta-function
2016
Karpatsʹkì Matematičnì Publìkacìï
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We study the Riemann zeta-function ζ(s) by a Fourier series method. The summation of log |ζ(s)| with the kernel 1/|s| 6 on the critical line Re s = 1 2 is the main result of our investigation. Also we obtain a new restatement of the Riemann Hypothesis.
doi:10.15330/cmp.8.1.16-20
fatcat:sc6x6c7gvncptdp7f76ecczpdm