Year: 2025
Type: article
Abstract: We provide an estimate for the number of nontrivial integer points on the Pellian surface t 2 - d u 2 = 1 in a bounded region. We give a lower bound on the size of fundamental solutions for almost all d in a certain class, based on a recent conjecture of Browning and Wilsch about integer points on log K3 surfaces. We also obtain an upper bound on the average of class number in this class, assuming the same conjecture.
DOI: 10.5802/jtnb.1348
Author: Yijie Diao
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4416742812