Sumsets in quadratic residues

@article{I2014,
abstract = {We describe all sets $A ⊆ _p$ which represent the quadratic residues $R ⊆ _p$ in the sense that R = A + A or R = A ⨣ A. Also, we consider the case of an approximate equality R ≈ A + A and R ≈ A ⨣ A and prove that A is then close to a perfect difference set.},
author = {I. D. Shkredov},
journal = {Acta Arithmetica},
keywords = {quadratic residues; sumsets},
language = {eng},
number = {3},
pages = {221-243},
title = {Sumsets in quadratic residues},
url = {http://eudml.org/doc/278893},
volume = {164},
year = {2014},
}

TY - JOUR
AU - I. D. Shkredov
TI - Sumsets in quadratic residues
JO - Acta Arithmetica
PY - 2014
VL - 164
IS - 3
SP - 221
EP - 243
AB - We describe all sets $A ⊆ _p$ which represent the quadratic residues $R ⊆ _p$ in the sense that R = A + A or R = A ⨣ A. Also, we consider the case of an approximate equality R ≈ A + A and R ≈ A ⨣ A and prove that A is then close to a perfect difference set.
LA - eng
KW - quadratic residues; sumsets
UR - http://eudml.org/doc/278893
ER -