Rényi's formula with remainder term on arithmetical semigroups

Štefan Porubský

Mathematica Slovaca (1990)

  • Volume: 40, Issue: 1, page 37-52
  • ISSN: 0139-9918

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Porubský, Štefan. "Rényi's formula with remainder term on arithmetical semigroups." Mathematica Slovaca 40.1 (1990): 37-52. <http://eudml.org/doc/34297>.

@article{Porubský1990,
author = {Porubský, Štefan},
journal = {Mathematica Slovaca},
keywords = {generalized primes; arithmetical function; asymptotic density; arithmetical semigroup; Axiom A; analogue of Rényi’s formula},
language = {eng},
number = {1},
pages = {37-52},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Rényi's formula with remainder term on arithmetical semigroups},
url = {http://eudml.org/doc/34297},
volume = {40},
year = {1990},
}

TY - JOUR
AU - Porubský, Štefan
TI - Rényi's formula with remainder term on arithmetical semigroups
JO - Mathematica Slovaca
PY - 1990
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 40
IS - 1
SP - 37
EP - 52
LA - eng
KW - generalized primes; arithmetical function; asymptotic density; arithmetical semigroup; Axiom A; analogue of Rényi’s formula
UR - http://eudml.org/doc/34297
ER -

References

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  10. LANDAU E., Über die Äquivalenz zweier Hauptsätze der analytischen Zahlentheorie, Sitzungber. Akad. Wien, 120, Abt. 2a, 1911, 973-988. (1911) 
  11. PORUBSKÝ Š., On the density of certain sets in arithmetical semigroups, Czechoslovak Math. J. 29, 1979, 148-152. (1979) Zbl0439.10033MR0518150
  12. RÉNYI A., On the density of certain sequences of integers, Publications de l'Institut Mathématiques de ľAcadémie Serbe des Sciences 8, 1955, 157-162. (1955) Zbl0066.03203MR0076787
  13. SCHWARZ W., Eine Bemerkung zu einer asymptotischen formel von Herrn Rényi, Arch. Math. (Basel) 21, 1970, 157-166. (1970) Zbl0197.32301MR0272730
  14. ZHANG W., A generalization of Halász' theorem to Beurling's generalized integers and its applications, Illinois J. Math. 31, 1987, 645-664. (1987) MR0909789

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