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math.CO2019★ 1 cited
On strong infinite Sidon and sets and random sets of integers
David Fabian, Juanjo Rué, Christoph Spiegel
A set of integers is an -strong Sidon set if the pairwise sums of its elements are far apart by a certain measure depending on , more specifically if $…
math.NT2019
An Erdős--Fuchs Theorem for Ordered Representation Functions
Gonzalo Cao-Labora, Juanjo Rué, Christoph Spiegel
Let be a positive integer. We study concentration results for the ordered representation functions $r^{\leq}_k(A,n) = \# \big\{ (a_1 \leq \dots \leq a_k) \in A^k : a_1+\d…