Original paper
Diophantine equations involving normalized binomial mid-coefficients
Abstract
For a positive integer n, let µ n be the normalized binomial mid-coefficients.We discuss the following Diophantine equation involving power means of n variables µ i ,For n = 2, 3 and other general cases, we get some results on this equation.Moreover, for k = l = 0 and for every n ≥ 3, we obtain infinitely many solutions of equationThis coefficient µ n is closely connected to the Euler's gamma function Γ(x), Gauss's hypergeometric function,...
Paper Details
Title
Diophantine equations involving normalized binomial mid-coefficients
Published Date
Oct 1, 2013
Volume
83
Issue
3
Pages
415 - 433