4 papers
Themes of parity in the valuation for integer numbers of the zeta function and of five related functions
David Pouvreau
This paper considers the problem of the valuation for integer numbers of the zeta function and of five other functions which are naturally associated to it. A relatively elementary…
Derived system and dual sequence of a barypolygonal sequence -- Part 2
David Pouvreau, Vincent Bouis
Continuing the first part of this paper, the present one establishes in their full generality the properties of the derived system and of the dual sequence of any barypolygonal seq…
Derived system and dual sequence of a barypolygonal sequence -- Part 1
David Pouvreau, Vincent Bouis
This study continues three recent papers in which barypolygonal sequences have been defined and their properties of convergence demonstrated. Any barypolygonal sequence $\mathcal{B…
Beyond Conway's concyclicity theorem: generalization and alternatives
David Pouvreau
The famous concyclicity theorem stated by John H. Conway is here reconsidered by means of a parametrisation of the associated triangular configuration with arbitrary triplets of re…