Numbers like π, e and φ often turn up in unexpected places in science and mathematics. Pascal's triangle and the Fibonacci sequence also seem inexplicably widespread in nature. Then there's the ...

Multiple zeta functions constitute a family of complex-valued functions defined by nested series of the form ζ(s₁,s₂,…,sₖ)=∑_{n₁>n₂>⋯>nₖ>0} n₁^{-s₁} n₂^{-s₂}⋯nₖ^{-sₖ}, where the arguments sᵢ are ...

(Phys.org)—Researchers have discovered that the solutions to a famous mathematical function called the Riemann zeta function correspond to the solutions of another, different kind of function that may ...

Zeta functions serve as a powerful analytic tool to capture the distribution of algebraic substructures, generalising the classical Riemann and Dedekind frameworks to settings such as groups, rings ...

Numbers like π, e and φ often turn up in unexpected places in science and mathematics. Pascal’s triangle and the Fibonacci sequence also seem inexplicably widespread in nature. Then there’s the ...

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 ...

The Riemann Hypothesis is widely regarded as the most important unsolved problem in mathematics. Put forward by Bernhard Riemann in 1859, it concerns the positions of the zeros of the Riemann zeta ...