T. Tao

activity

19972023

most citedRandom matrices: Universality of local eigenvalue statistics up to the edge

276 citations · 4.5k across the 293 of their papers we have counts for

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Showing 2016 · math.NTShow all

2 papers · 2 filters

math.NT2016★ 4 cited

Equivalence of the logarithmically averaged Chowla and Sarnak conjectures

Terence Tao

Let $λ$ denote the Liouville function. The Chowla conjecture asserts that $n \leq X \sum λ (a_{1} n + b_{1}) λ (a_{2} n + b_{2}) \dots λ (a_{k} n + b_{k}) = o_{X \to \infty} (X)$ for any fixed…

math.NT2016★ 4 cited

Polynomial patterns in the primes

Terence Tao, Tamar Ziegler

Let $P_{1}, \dots, P_{k} : Z \to Z$ be polynomials of degree at most $d$ for some $d \geq 1$ , with the degree $d$ coefficients all distinct, and admissible in the sense…