A note on the size of the set A² + A

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,…,N} (resp. Fp) by A2+A with some thin sets A.
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https://hal.archives-ouvertes.fr/hal-01705641
Contributor : François Hennecart <>
Submitted on : Friday, February 9, 2018 - 4:03:43 PM
Last modification on : Friday, March 8, 2019 - 9:38:03 AM

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Norbert Hegyvári, Francois Hennecart. A note on the size of the set A² + A. Ramanujan Journal, Springer Verlag, 2018, ⟨10.1007/s11139-017-9968-4⟩. ⟨hal-01705641⟩

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