An Elementary Problem Equivalent to the Riemann Hypothesis

Details An Elementary Problem Equivalent to the Riemann Hypothesis An Elementary Problem Equivalent to the Riemann Hypothesis

2000-08-22

arxiv.org/abs/math/0008177v2

Amer. Math. Monthly 109 (2002), 534--543

Mathematics

Number Theory

9 pages, Latex, explanatory section 2 added; proofs simplified

Scientific paper

This paper shows the equivalence of the Riemann hypothesis to an sequence of
elementary inequalities involving the harmonic numbers H_n, the sum of the
reciprocals of the integers from 1 to n. It is a modification of a criterion
due to Guy Robin.

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