Large value estimates in number theory, harmonic analysis, and computer science

2025/03/10 by Guth, Larry · 1 citation
#11M26 #42B15 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2503.07410

Abstract

We survey large value problems, including the large value problem for Dirichlet polynomials, the restriction problem, and problems from computer science. We describe known techniques and open problems, drawing on perspectives from all three fields.

Cited by

• Galois groups of random integer matrices

Related

• New large value estimates for Dirichlet polynomials
• A note on zero density results implying large value estimates for Dirichlet polynomials
• Large values of Dirichlet polynomials and zero density estimates for the Riemann zeta function
• Large Value Estimates for Dirichlet Polynomials with Characters and Zero Density of Dirichlet L-Functions
• Large values of Dirichlet polynomials with multiplicative coefficients