Terence Tao

most citedNew exponent pairs, zero density estimates, and zero additive energy estimates: a systematic approach

1 citations · 1 across the 5 of their papers we have counts for

collaborators

5 papers

math.RA2025

The Equational Theories Project: Advancing Collaborative Mathematical Research at Scale

Matthew Bolan, Joachim Breitner, Jose Brox +31

We report on the Equational Theories Project (ETP), an online collaborative pilot project to explore new ways to collaborate in mathematics with machine assistance. The project suc…

math.NT2025

Growth rates of sequences governed by the squarefree properties of its translates

Wouter van Doorn, Terence Tao

We answer several questions of Erdős regarding sequences of natural numbers $A$ whose translates $n + A$ intersect with the squarefree numbers in various specified ways. For instance…

math.CO2025

New Nikodym set constructions over finite fields

Terence Tao

For any fixed dimension $d \geq 3$ we construct a Nikodym set in $F_{q}^{d}$ of cardinality $q^{d} - (\frac{d - 2}{l o g 2} + 1 + o (1)) q^{d - 1} lo g q$ in the limit $q \to \infty$ , when $q$ is…

math.CA2025

Some variants of the periodic tiling conjecture

Rachel Greenfeld, Terence Tao

The periodic tiling conjecture (PTC) asserts, for a finitely generated Abelian group $G$ and a finite subset $F$ of $G$ , that if there is a set $A$ that solves the tiling equation…

math.NT2025★ 1 cited

New exponent pairs, zero density estimates, and zero additive energy estimates: a systematic approach

Terence Tao, Tim Trudgian, Andrew Yang

We obtain several new bounds on exponents of interest in analytic number theory, including four new exponent pairs, new zero density estimates for the Riemann zeta-function, and ne…