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Fourier Transform Associated with Riemann Zeta Function

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Abstract

The Fourier transform associated with the normalized logarithm of the modulus of the Riemann Zeta Function is considered. The formulas linking the Fourier transform and the zeros of the Riemann function are established that lead to the necessary and sufficient condition of satisfaction of the Riemann hypothesis.

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Authors and Affiliations

  1. Yerevan State University, Yerevan, Armenia

    G. V. Mikaelyan

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  1. G. V. Mikaelyan
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Correspondence to G. V. Mikaelyan.

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Translated by E. Oborin

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Mikaelyan, G.V. Fourier Transform Associated with Riemann Zeta Function. J. Contemp. Mathemat. Anal. 56, 30–36 (2021). https://doi.org/10.3103/S1068362321010064

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  • DOI: https://doi.org/10.3103/S1068362321010064

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