39 citations · 72 across the 24 of their papers we have counts for
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math.NT2007
The inverse problem for representation functions for general linear forms
Peter Hegarty
The inverse problem for representation functions takes as input a triple (X,f,L), where X is a countable semigroup, f : X --> N_0 \cup {\infty} a function, L : a_1 x_1 + ... + a_h…
math.NT2007
When almost all sets are difference dominated
Peter Hegarty, Steven J. Miller
We investigate the relationship between the sizes of the sum and difference sets attached to a subset of {0,1,...,N}, chosen randomly according to a binomial model with parameter p…
math.NT2007
Extremal subsets of {1,...,n} avoiding solutions to linear equations in three variables
Peter Hegarty
We refine previous results to provide examples, and in some cases precise classifications, of extremal subsets of {1,...,n} containing no solutions to a wide class of non-invariant…