Terence Tao: new paper and launch of a number theory database

From his blog: Timothy Trudgian, Andrew Yang and I have just uploaded to the arXiv the paper “New exponent pairs, zero density estimates, and zero additive energy estimates: a systematic approach“. This paper launches a project envisioned in this previous blog post, in which the (widely dispersed) literature on various exponents in classical analytic number theory, as well as the relationships between these exponents, are collected in a living database, together with computer code to optimize the relations between them, with one eventual goal being to automate as much as possible the “routine” components of many analytic number theory papers, in which progress on one type of exponent is converted via standard arguments to progress on other exponents.
The database we are launching concurrently with this paper is called the Analytic Number Theory Exponent Database (ANTEDB).
https://terrytao.wordpress.com/2025/01/28/new-exponent-pairs-zero-density-estimates-and-zero-additive-energy-estimates-a-systematic-approach/