Title of article :
Transcendence of Certain Infinite Sums of Rational Numbers
Author/Authors :
Deajim, Abdulaziz King Khalid University - Department of Mathematics, Saudi Arabia
Abstract :
Letting (u_n) be a sequence of positive rational numbers, we give a sufficient condition under which the series ∑∞ n=1un converges to a transcendental number. Some applications and illustrative corollaries are included.
Keywords :
transcendence , formal power series , Cantor series , Hankel matrix.
Journal title :
Journal of King Abdulaziz University : Science
Journal title :
Journal of King Abdulaziz University : Science
