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math.NTSep 8, 2010
6
citations (OpenAlex)
authors
  • K. Soundararajan
arXiv abstractPDF
paper

Smooth numbers in short intervals

arXiv:1009.1591

Abstract

Assuming the Riemann hypothesis we demonstrate the existence of smooth numbers in certain short intervals.

6 pages

References in corpus (1)

  • An asymptotic expansion related to the Dickman function

Cited by in corpus (2)

  • Sign of Fourier coefficients of modular forms of half integral weight
  • The Liouville function in short intervals [after Matomaki and Radziwill]
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