2 papers
math.NT2026
New large value estimates for Dirichlet polynomials
Larry Guth, James Maynard
We prove new bounds for how often Dirichlet polynomials can take large values. This gives improved estimates for a Dirichlet polynomial of length taking values of size close to…
math.NT2025
Large value estimates in number theory, harmonic analysis, and computer science
Larry Guth
We survey large value problems, including the large value problem for Dirichlet polynomials, the restriction problem, and problems from computer science. We describe known techniqu…