A note on the size of the set $$\varvec{A^2+A}$$ |
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| Authors: | Norbert Hegyvári François Hennecart |
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| Institution: | 1.ELTE TTK, Institute of Mathematics,E?tv?s University,Budapest,Hungary;2.Univ Lyon, UJM-Saint-étienne, CNRS, ICJ UMR 5208,Saint-étienne,France |
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| Abstract: | Let \(F(x,y,z)=xy+z\). We consider some properties of expansion of the polynomial F in different settings, namely in the integers and in prime fields. The main results concern the question of covering \(\{0,1,\ldots , N\}\) (resp. \(\mathbf {F}_p\)) by \(A^2+A\) with some thin sets A. |
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