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 ...

On étend la technique qui a permis à A. Walfisz d'établir (en 1962) l'estimation H(x) ≪ (logx)⅔(log log x)4/3 pour le terme d'erreur lié à la fonction d ...

Analytic number theory continues to serve as a cornerstone of modern mathematics through its probing study of zeta functions and their applications. At the heart of this discipline is the classical ...

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 ...