Approximating Sums of Consecutive Integral Roots
Pongpol Ruankong and Kantaphon Kuhapatanakul
Department of Mathematics
Faculty of Science
We present an alternative proof of Saltzman and Yuan’s result on the
sums of consecutive integral roots. We use the AM-GM-HM inequality to
prove the main result. Moreover, the lower bound for which the result
holds is greatly improved.
Full version: pdf,
Received April 30 2019; revised version received September 2 2019.
Published in Journal of Integer Sequences,
September 25 2019.
Journal of Integer Sequences home page