@thomasfbloom.bsky.social
A new paper of mine, on an L^3 control assumption, which has a number of applications in additive combinatorics.
In particular, I give a new value for the sum-product exponent, which measures how any set of real numbers must grow under addition or multiplication.
arxiv.org/abs/2501.09470
In particular, I give a new value for the sum-product exponent, which measures how any set of real numbers must grow under addition or multiplication.
arxiv.org/abs/2501.09470
Control and its applications in additive combinatorics
We prove new quantitative bounds on the additive structure of sets obeying an $L^3$ 'control' assumption, which arises naturally in several questions within additive combinatorics. This has a number o...
arxiv.org
January 17, 2025 at 8:37 AM
A new paper of mine, on an L^3 control assumption, which has a number of applications in additive combinatorics.
In particular, I give a new value for the sum-product exponent, which measures how any set of real numbers must grow under addition or multiplication.
arxiv.org/abs/2501.09470
In particular, I give a new value for the sum-product exponent, which measures how any set of real numbers must grow under addition or multiplication.
arxiv.org/abs/2501.09470