19 citations
2 papers
astro-ph2007★ 19 cited
Analytic Central Orbits and their Transformation Group
Donald Lynden-Bell, Shoko Jin
A useful crude approximation for Abelian functions is developed and applied to orbits. The bound orbits in the power-law potentials A*r^{-alpha} take the simple form (l/r)^k = 1 +…
math.NT2003★ 1 cited
The Cameron-Erdos Conjecture
Ben Green
A set A of integers is said to be sum-free if there are no solutions to the equation x + y = z with x,y and z all in A. Answering a question of Cameron and Erdos, we show that the…