The Selberg-Delange method in short intervals with some applications View Full Text


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Article Info

DATE

2019-03

AUTHORS

Zhen Cui, Guangshi Lü, Jie Wu

ABSTRACT

In this paper, we establish a quite general mean value result of arithmetic functions over short intervals with the Selberg-Delange method and give some applications. In particular, we generalize Selberg's result on the distribution of integers with a given number of prime factors and Deshouillers-Dress-Tenenbaum's arcsin law on divisors to the short interval case. More... »

PAGES

1-22

References to SciGraph publications

  • 1967-03. Zur Abschätzung der Riemannschen Zetafunktion in der Nähe der Vertikalen σ=1 in MATHEMATISCHE ANNALEN
  • 1985. A remark on a paper of K. Ramachandra in NUMBER THEORY
  • 1971. Topics in Multiplicative Number Theory in NONE
  • 1971-06. On the difference between consecutive primes in INVENTIONES MATHEMATICAE
  • 2003-10. Some Remarks on a Paper of Ramachandra in LITHUANIAN MATHEMATICAL JOURNAL
  • 2006-01. The divisor problem for d4 (n) in short intervals in ARCHIV DER MATHEMATIK
  • Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/s11425-017-9172-7

    DOI

    http://dx.doi.org/10.1007/s11425-017-9172-7

    DIMENSIONS

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