Year: 2025
Type: article
Abstract: We study the zeros of cusp forms in the Miller basis whose vanishing order at infinity is a fixed number m . We show that for sufficiently large weights, the finite zeros of such forms in the fundamental domain, all lie on the circular part of the boundary of the fundamental domain. We further show and quantify an effective bound for the weight, which is linear in terms of m .
Source: Research in Number Theory
Author: Roei Raveh
Institution: Tel Aviv University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,590
OpenAlex ID: W4415628858