Multiple zeta functions extend the classical Riemann zeta function to several complex variables by involving multiple summations with distinct exponents. These functions not only encapsulate deep ...

Dynamical systems theory provides a rigorous framework to analyse how points evolve with time according to deterministic rules. At its heart lies the study of chaotic behaviour, hyperbolicity and the ...

Numbers like pi, e and phi 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 ...

The prime counting function π can be written in terms of another step function, J. The function J can be written in terms of Riemann’s zeta function ζ. You take the point. If you’re not a ...