О КОЛИЧЕСТВЕ НУЛЕЙ ДЗЕТА-ФУНКЦИИ РИМАНА, ЛЕЖАЩИХ В «ПОЧТИ ВСЕХ» ОЧЕНЬ КОРОТКИХ ПРОМЕЖУТКАХ ОКРЕСТНОСТИ КРИТИЧЕСКОЙ ПРЯМОЙ

Proof (or disproof) of the Riemann hypothesis is the central problem of analytic number theory. By now it has not been solved. In 1985 Karatsuba proved that for any \( 0 T_0 (\varepsilon)> 0 \) and \( H = T ^ { 27/82 + \varepsilon} \) in the rectangle with vertices \( \sigma + iT \), \( \sigma + i (... View More