Infinite zeros along a vertical line: an enigma that has lasted since 1859 (IMAGE)

Scuola Internazionale Superiore di Studi Avanzati

Infinite zeros along a vertical line: an enigma that has lasted since 1859

Caption

In the article, Giuseppe Mussardo and Andrè Leclair showed that there is instead an elegant explanation of the alignment of zeros along the ½ axis of the Riemann function (as well as of infinite similar functions, the so-called Dirichlet functions), ultimately due to a totally unexpected reason: the presence of a chaotic motion and the laws of probability that rule it. As a matter of fact, Mussardo and Leclair proved the existence of a Brownian motion, hidden behind all these infinite functions.

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Giuseppe Mussardo

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