activity
19992026
most citedOn sets of integers not containing long arithmetic progressions

21 citations · 107 across the 30 of their papers we have counts for

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Showing 2000 · math.CAShow all

3 papers · 2 filters

math.CA2000★ 1 cited

The spectral set conjecture and multiplicative properties of roots of polynomials

I. Laba

We obtain new partial results supporting the spectral set conjecture in dimension 1.

math.CA2000★ 4 cited

An improved bound for the Minkowski dimension of Besicovitch sets in medium dimension

Izabella Laba, Terence Tao

We use geometrical combinatorics arguments, including the ``hairbrush'' and x-ray arguments of Wolff and the sticky/plany/grainy analysis of Katz, Laba, and Tao, to show that Besic…

math.CA2000

Fuglede's conjecture for a union of two intervals

I. Laba

We prove that a union of two intervals in R is a spectral set if and only if it tiles R by translations.