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An Elementary Problem Equivalent to the Riemann Hypothesis

数论 2007-05-23 v2

摘要

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.

关键词

引用

@article{arxiv.math/0008177,
  title  = {An Elementary Problem Equivalent to the Riemann Hypothesis},
  author = {Jeffrey C. Lagarias},
  journal= {arXiv preprint arXiv:math/0008177},
  year   = {2007}
}

备注

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