%0 Journal Article %T ON THE DISTRIBUTION OF A LINEAR SEQUENCE ASSOCIATED TO SUM OF DIVISORS EVALUATED AT POLYNOMIAL ARGUMENTS %A Mehdi Hassani %J Applicable Analysis and Discrete Mathematics %D 2012 %I University of Belgrade and Academic Mind %R 10.2298/aadm120207005h %X Following the recent method of extsc{Deshouillers} and the author in the theory of distribution modulo 1, we show that the sequence with general term $b_n=displaystylesum_{mleq n}(m^2+1)/s(m^2+1)$ is dense modulo 1. %K Divisor function %K distribution modulo 1 %K sieve method %U http://pefmath.etf.rs/vol6num1/AADM-Vol6-No1-106-113.pdf