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

Ognian Trifonov

Source record

Source: arXiv

Published: Sep 15, 2026

arXiv: 2609.17715

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Source 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.

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Lattice points close to a smooth curve and squarefull numbers in short intervals. II — Mathematical Frontier Network