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On the square-free sieve

100%

Helfgott H.

Acta Arithmetica

2004

tom 115

nr 4

349-402

On the dimension of additive sets

72%

Candela P., Helfgott H.

Acta Arithmetica

2015

tom 167

nr 1

91-100

We study the relations between several notions of dimension for an additive set, some of which are well-known and some of which are more recent, appearing for instance in work of Schoen and Shkredov. We obtain bounds for the ratios between these dimensions by improving an inequality of Lev and Yuster, and we show that these bounds are asymptotically sharp, using in particular the existence of large dissociated subsets of {0,1}ⁿ ⊂ ℤⁿ.

Ograniczanie wyników

2 Acta Arithmetica

2 Helfgott H.

1 Candela P.

1 2015

1 2004

Wyniki wyszukiwania

On the square-free sieve

On the dimension of additive sets