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Bibliographic Details
Main Authors: Sarajian, Garo, Weingartner, Andreas
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2504.02699
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Table of Contents:
  • The $i$-tuply $y$-densely divisible numbers were introduced by a Polymath project, as a weaker condition on the moduli than $y$-smoothness, in distribution estimates for primes in arithmetic progressions. We obtain the order of magnitude of the count of these integers up to $x$, uniformly in $x$ and $y$, for every fixed natural number $i$.