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The Riemann hypothesis. (English) Zbl 1160.11341
Summary: The Clay mathematics Institute has offered one million dollars for a proof that the nontrivial zeros of the Riemann zeta function lie on a line. The author sketches some of the approaches to this famously difficult unsolved problem.

MSC:
11M26 Nonreal zeros of \(\zeta (s)\) and \(L(s, \chi)\); Riemann and other hypotheses
01A55 History of mathematics in the 19th century
01A60 History of mathematics in the 20th century
11-03 History of number theory
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