Ranger Suárez strikes out Shohei Ohtani as part of an impressive outing in Game 3 of the NLDS. Harry How / Getty Images LOS ANGELES — Shades of rose gold had not yet hit the hills above the Chavez ...

We construct a family of approximations of the Riemann zeta-function and a closely related function formed from finite Euler products, the pole of the zeta-function, and any zeros the zeta-function ...

Abstract: Now that Andrew Wiles has proved the Taniyama-Shimura conjecture, inter alia proving Fermat's last theorem, and Grigory Perelman has proved the Poincare conjecture in three dimensions, thus ...

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 ...

There was an error while loading. Please reload this page. The output will display a plot showing oscillatory patterns due to contributions from prime numbers ...

ABSTRACT: Riemann (1859) had proved four theorems: analytic continuation ζ( s ) , functional equation ξ( z )=G( s )ζ( s ) ( s=1/2 +iz , z=t−i( σ−1/2 ) ), product expression ξ 1 ( z ) and ...

In this article we will study the spectral properties of a deterministic signal exponentially damped in the past and in the future (the damping in the future is controlled by a time constant). The ...

Yitang Zhang, a number theorist at the University of California, Santa Barbara, has posted a paper on arXiv that hints at the possibility that he may have solved the Landau-Siegel zeros conjecture.

A mystery of mathematics that has remained unsolved for more than 150 years can be unraveled thanks to a completely unexpected approach coming from statistical physics. This is the important ...