276 citations · 4.5k across the 293 of their papers we have counts for
297 papers
Adjoint Brascamp-Lieb inequalities
Jonathan Bennett, Terence Tao
The Brascamp-Lieb inequalities are a generalization of the Hölder, Loomis-Whitney, Young, and Finner inequalities that have found many applications in harmonic analysis and elsewhe…
A counterexample to the periodic tiling conjecture
Rachel Greenfeld, Terence Tao
The periodic tiling conjecture asserts that any finite subset of a lattice which tiles that lattice by translations, in fact tiles periodically. In this work we disp…
A counterexample to the periodic tiling conjecture (announcement)
Rachel Greenfeld, Terence Tao
The periodic tiling conjecture asserts that any finite subset of a lattice which tiles that lattice by translations, in fact tiles periodically. We announce here a d…
Higher uniformity of arithmetic functions in short intervals I. All intervals
Kaisa Matomäki, Xuancheng Shao, Terence Tao +1
We study higher uniformity properties of the Möbius function , the von Mangoldt function , and the divisor functions on short intervals with $X^{θ+\varepsilon…
Perfectly packing a square by squares of nearly harmonic sidelength
Terence Tao
A well known open problem of Meir and Moser asks if the squares of sidelength for can be packed perfectly into a square of area $\sum_{n=2}^\infty \frac{1}{n^2} =…
Measurable tilings by abelian group actions
Jan Grebík, Rachel Greenfeld, Václav Rozhoň +1
Let be a measure space with a measure-preserving action of an abelian group . We consider the problem of understanding the structure of measurable…