The Riemann hypothesis is the most important open question in number theory—if not all of mathematics. It has occupied experts for more than 160 years. And the problem appeared both in mathematician ...

Mathematics of Computation, Vol. 33, No. 148 (Oct., 1979), pp. 1361-1372 (12 pages) We describe a computation which shows that the Riemann zeta function $\xi(s)$ has exactly 75,000,000 zeros of the ...

In 1975 one of the coauthors, Ikebe, showed that the problem of computing the zeros of the regular Coulomb wave functions and their derivatives may be reformulated as the eigenvalue problem for ...

The Nature Index 2025 Research Leaders — previously known as Annual Tables — reveal the leading institutions and countries/territories in the natural and health sciences, according to their output in ...