3 papers
math.NT2025
On the number of lattice points in thin sectors
Ezra Waxman, Nadav Yesha
On the circle of radius centred at the origin, consider a ``thin'' sector about the fixed line with edges given by the lines , where $ε= ε_R \righ…
math.NT2025
On the supremum of random cusp forms
Bingrong Huang, Stephen Lester, Igor Wigman +1
A random ensemble of cusp forms for the full modular group is introduced. For a weight- cusp form, restricted to a compact subdomain of the modular surface, the true order of ma…
math.NT2025
Almost sure asymptotics for the number variance of dilations of integer sequences
Christoph Aistleitner, Nadav Yesha
Let be a sequence of integers. We study the number variance of dilations modulo 1 in intervals of length , and establish pseudorandom…