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Mean values for a class of arithmetic functions in short intervals

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  • Jie Wu
  • Qiang Wu

Abstract

In this paper, we shall establish a rather general asymptotic formula in short intervals for a class of arithmetic functions and announce two applications about the distribution of divisors of square‐full numbers and integers representable as sums of two squares.

Suggested Citation

  • Jie Wu & Qiang Wu, 2020. "Mean values for a class of arithmetic functions in short intervals," Mathematische Nachrichten, Wiley Blackwell, vol. 293(1), pages 178-202, January.
    • Handle: RePEc:bla:mathna:v:293:y:2020:i:1:p:178-202
    DOI: 10.1002/mana.201800276
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