Density of Some Special Sequences Modulo 1
Density of Some Special Sequences Modulo 1
In this paper, we explicitly describe all the elements of the sequence of fractional parts {af(n)/n}, n=1,2,3,…, where f(x)∈Z[x] is a nonconstant polynomial with positive leading coefficient and a≥2 is an integer. We also show that each value w={af(n)/n}, where n≥nf and nf is the least positive integer such that …