  In 1969, Delange has proved a general criterion for uniform distribution of
additive functions. In this paper, we study the uniform distribution of a
special class of polynomially-defined additive functions where the moduli is
allowed to vary. This paper takes inspiration from a similar paper that studies
the distribution of some special multiplicative functions by Pollack and Singha
Roy. The approach would require techniques in the paper mentioned and bound on
exponential sums from Cochrane and Loh.
