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Somewhat smooth numbers in short intervals

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Publication:2688348
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DOI10.1007/s11139-022-00552-wOpenAlexW4213077184MaRDI QIDQ2688348

Andreas J. Weingartner

Publication date: 2 March 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2105.13568


zbMATH Keywords

smooth numbersshort intervalsexponent pairs


Mathematics Subject Classification ID

Distribution of integers with specified multiplicative constraints (11N25)





Cites Work

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  • A new \(k\)th derivative estimate for exponential sums via Vinogradov's mean value
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  • Decoupling, exponential sums and the Riemann zeta function
  • On integers $n$ for which $X^n-1$ has a divisor of every degree
  • On practical numbers
  • Sur un problème de crible et ses applications
  • A Brun-Titschmarsh theorem for multiplicative functions.
  • Exponential Sums and Lattice Points III
  • Integers without large prime factors in short intervals and arithmetic progressions
  • PRACTICAL NUMBERS AND THE DISTRIBUTION OF DIVISORS




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