Mayank Pandey

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math.NT2026

Squarefree numbers in short intervals: explicit and formalized

Mayank Pandey

We make explicit and formalize a result of the author on squarefree numbers in short intervals, showing that for $0 < ε \leq 1/90935$ , $X \geq exp (1 0^{27} / ε^{2})$ ,…

math.NT2024

Squarefree numbers in short intervals

Mayank Pandey

We show that there exists $η > 0$ such that the interval $[X, X + X^{\frac{1}{5} - η}]$ contains a squarefree number for all large $X$ . This improves on an earlier result of Filaseta a…