Work

Lattice points close to a smooth curve and squarefull numbers in short intervals. II

Year: 2026

Type: preprint

Abstract: By applying recent estimates on the number of integer solutions of ternary quadratic forms in boxes due to Browning and Heath-Brown, we obtain new estimates for the number of lattice points close to a curve. This leads to a new result on the distribution of squarefull numbers in short intervals.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.17715

Author: Trifonov, Ognian

Institution: University of South Carolina

Language: English

Topic: Analytic Number Theory Research

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7213519326

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