Hypergeometric functions are at the heart of many analytical and applied mathematical investigations. These functions, generally defined via power series that extend the geometric series, have been ...

Universality theorems occupy a central role in analytic number theory, demonstrating that families of analytic functions—including the prototypical Riemann zeta-function—can approximate an extensive ...

Flawed conservation laws are consequences of a much deeper principle: Noether’s theorem. Conservation laws are among the most important tools in physics. They feel as fundamental as you can get. And ...

This year is the centennial of Noether’s theorem, which is often called the most beautiful result in mathematical physics. Developed by Amalie Emmy Noether (1882-1935), the theorem resolves questions ...

We compute higher derivatives of the Fréchet function on spheres with an absolutely continuous and rotationally symmetric probability distribution. Consequences include (i) a practical condition to ...

Einstein referred to her as the most important woman in the history of mathematics. Her theorem has been recognized as “one of the most important mathematical theorems ever proved in guiding the ...