Abstract
A new proof of Ingam’s theorem on the density of zeros of the Riemann zeta-function in the critical strip is given basing on an idea of H. Bohr and F. Carlson. Multiplication of segments of the Dirichlet series for the functions ζ(s) and 1/ζ(s) is used, which permits to simplify the proof.
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References
A. E. Ingam, “On the Difference between Consecutive Primes,” Quart. J. Math. 8, 255 (1937).
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Original Russian Text © I.F. Avdeev, 2007, published in Vestnik Moskovskogo Universiteta, Matematika. Mekhanika, 2007, Vol. 62, No. 6, pp. 59–61.
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Avdeev, I.F. The density of zeros of the Riemann zeta-function in the critical strip. Moscow Univ. Math. Bull. 62, 251–252 (2007). https://doi.org/10.3103/S0027132207060083
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DOI: https://doi.org/10.3103/S0027132207060083