MathDBRuzsa's sumset conjecture for finite sets of squares
Ruzsa's sumset conjecture for finite sets of squares
From papers
For a finite set of squares, write . Ruzsa's conjecture. For every ,
The source states that Chang's conjecture implies this one, while the Bombieri--Lang conjecture yields only weaker bounds; its general validity remains open.
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Sources & referencesView supporting material
Primary source
Javier Cilleruelo and Andrew Granville, “Lattice points on circles, squares in arithmetic progressions and sumsets of squares”, arXiv:math/0608109 (2006).
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