On some reasons for doubting the Riemann hypothesis

Details On some reasons for doubting the Riemann hypothesis On some reasons for doubting the Riemann hypothesis

2003-11-11

arxiv.org/abs/math/0311162v1

Mathematics

Number Theory

30 pages

Scientific paper

Several arguments against the truth of the Riemann hypothesis are extensively
discussed. These include the Lehmer phenomenon, the Davenport-Heilbronn
zeta-function, large and mean values of $|\zeta(1/2+it)|$ on the critical line,
and zeros of a class of convolution functions. The first two topics are
classical, and the remaining ones are connected with the author's research.

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