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Oliver Roche-Newton

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Is the set $ AA+A $ always at least as large as $ A+A $?

nt.number-theory co.combinatorics additive-combinatorics asked Apr 27, 2015 at 9:46

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covering disks with smaller disks

co.combinatorics asked May 25, 2012 at 13:16

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Is $AA+A$ always at least as large as $A/A$?

nt.number-theory additive-combinatorics asked Nov 4, 2015 at 8:15

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Top Answers

Small set such that $\{1 , \ldots , n\} \cdot A = \mathbb{Z} / p \mathbb{Z}$

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Sum and product estimate over integers, rationals, and reals

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Bound of size $X\subset \mathbb{Z}/N\mathbb{Z}$ which satisfies $X+X=\mathbb{Z}/N\mathbb{Z}$

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Is $AA+A$ always at least as large as $A/A$?

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Nontrivial expansion in sumsets

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