34 citations · 268 across the 120 of their papers we have counts for
4 papers · 2 filters
Nets in groups, minimum length -adic representations, and minimal additive complements
Melvyn B. Nathanson
The number theoretic analogue of a net in metric geometry suggests new problems and results in combinatorial and additive number theory. For example, for a fixed integer g > 1, the…
Problems in Additive Number Theory, III: Thematic Seminars at the Centre de Recerca Matematica
Melvyn B. Nathanson
This is a survey of open problems in different parts of combinatorial and additive number theory. The paper is based on lectures at the Centre de Recerca Matematica in Barcelona on…
Supersequences, rearrangements of sequences, and the spectrum of bases in additive number theory
Melvyn B. Nathanson
The set A = {a_n} of nonnegative integers is an asymptotic basis of order h if every sufficiently large integer can be represented as the sum of h elements of A. If a_n ~ alpha n^h…
Linear forms and complementing sets of integers
Melvyn B. Nathanson
Let be a linear form with nonzero integer coefficients Let be an -tup…