Ward's Staut-Clausen problem.
Waring's number for large subgroups of ℤ*ₚ*
Let p be a prime, ℤₚ be the finite field in p elements, k be a positive integer, and A be the multiplicative subgroup of nonzero kth powers in ℤₚ. The goal of this paper is to determine, for a given positive integer s, a value tₛ such that if |A| ≫ tₛ then every element of ℤₚ is a sum of s kth powers. We obtain , and for s ≥ 6, . For s ≥ 24 further improvements are made, such as and .
Weak forms of Mann's density theorem extended to sets of lattice points
Weak Uniform Distribution of un+1 =aun + b in Dedekind Domains.
Weighted sequences in finite cyclic groups.
Weighted uniform densities
We introduce the concept of uniform weighted density (upper and lower) of a subset of , with respect to a given sequence of weights . This concept generalizes the classical notion of uniform density (for which the weights are all equal to 1). We also prove a theorem of comparison between two weighted densities (having different sequences of weights) and a theorem of comparison between a weighted uniform density and a weighted density in the classical sense. As a consequence, new bounds for the...
Well-distributed 2-colorings of integers relative to long arithmetic progressions
Well-spread sequences and edge-labellings with constant Hamilton-weight.
When are subset sums equidistributed modulo ?