Le but de cet article est de donner quelques formules explicites faisant intervenir des fonctions de Möbius. De telles formules explicites peuvent être prouvées sous l’hypothèse de Riemann généralisée ...

This monthly journal, begun in 1950, is devoted entirely to research in pure and applied mathematics, principally to the publication of original papers of moderate length. A section called Shorter ...

Dynamical systems and number theory have increasingly converged to address deep questions at the interface of temporal evolution and arithmetic structure. Dynamical systems offer a formal framework ...

A team has synthesized a belt-shaped molecular nanocarbon with a twisted Möbius band topology, i.e., a Möbius carbon nanobelt. Obtaining structurally uniform nanocarbons -- ideally as single molecules ...

Obtaining structurally uniform nanocarbons—ideally as single molecules—is a great challenge in the field of nanocarbon science in order to properly relate structure and function. Thus, the ...