Mayank Pandey

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20222026

most citedPartial sums of typical multiplicative functions over short moving intervals

6 citations · 6 across the 7 of their papers we have counts for

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math.NT2022

On the length of Pierce expansions

Zachary Chase, Mayank Pandey

For a given positive integer $n$ , how long can the process $x \mapsto n (mod x)$ last before reaching $0$ ? We improve Erdős and Shallit's upper bound of $O(n^{\frac{…

math.NT2022★ 6 cited

Partial sums of typical multiplicative functions over short moving intervals

Mayank Pandey, Victor Y. Wang, Max Wenqiang Xu

We prove that the $k$ -th positive integer moment of partial sums of Steinhaus random multiplicative functions over the interval $(x, x + H]$ matches the corresponding Gaussian moment…