Some formulas representing the Chern-Euler class of circle bundle over a closed surface in terms of global singularities of restrictions of a generic function to the fibers are given. These formulas ...

We provide a number of results that can be used to derive approximations for the Euler product representation of the zeta function of an arbitrary algebraic function field. Three such approximations ...

At the height of Europe’s Enlightenment, one man illuminated mathematics like never before — even as darkness claimed his sight. Leonhard Euler unified entire branches of science through logic, ...

Polynomial and special function theory remains a vibrant area of mathematical research, interweaving classical algebra with advanced analysis. At its core, the study concerns algebraic expressions ...

Specifically, the team of researchers (from Oxford, Harvard, Cambridge, GUST, MIT, Imperial, and the Alan Turing Institute) have discovered a deep connection between the sums-of-digits function from ...