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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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