The series $\sum (m + nz)^{-s}, m, n$ ranging over all integers except both zero, for $s$ an integer greater than two is well known from the theory of elliptic ...

We prove that a series derived using Euler's transformation provides the analytic continuation of ζ(s) for all complex s ≠ 1. At negative integers the series becomes a finite sum whose value is given ...

The Nature Index 2024 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 ...