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Description: |
Let A be a set of positive integers and f(x,y) a polynomial
with integer coefficients. For every integer n, let r_{f,A}(n)
denote the number of representations of n in the form n =
f(a1,a2) where a1 and a2 belong to A. We will discuss several recent
problems dealing with the case when f(x,y)=ux+vy is a binary
linear form. An infinite set of integers A is an f-basis, if
every integer n has at least one f-representation. We will
construct dense uniquely representable basis for some particular
linear forms.
Area(s):
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