6 citations · 6 across the 3 of their papers we have counts for
3 papers
math.DS2014
A QRT-system of two order one homographic difference equations: conjugation to rotations, periods of periodic solutions, sensitiveness to initial conditions
Guy Bastien, Marc Rogalski
We study the homographic system u(n+1)u(n)=c+d/v(n), v(n+1)v(n)=c+d/u(n+1) in the positive quadrant. The orbit of a point is contained in an invariant cubic curve, and the restrict…
math.NT2013
Elementary methods for evaluating Jordan's sums and analogous Euler's type sums and for setting a sigma sum theorem
Guy Bastien
We give a complete and elementary proofs of "Jordan's sums" and study Euler's types sums. In particular we give a formula for the sum of series with same weight, which is similar t…
math.DS2012★ 6 cited
On periodic solutions of 2-periodic Lyness difference equations
Guy Bastien, Victor Mañosa, Marc Rogalski
We study the existence of periodic solutions of the non--autonomous periodic Lyness' recurrence u_{n+2}=(a_n+u_{n+1})/u_n, where {a_n} is a cycle with positive values a,b and with…