Geodesic
Rényi's formula with remainder term on arithmetical semigroups
Mathematica slovaca, Tome 40 (1990) no. 1, pp. 37-51

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Classification : 11N37, 11N80 
Porubský, Štefan. Rényi's formula with remainder term on arithmetical semigroups. Mathematica slovaca, Tome 40 (1990) no. 1, pp. 37-51. http://geodesic.mathdoc.fr/item/MASLO_1990_40_1_a5/
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[1] COHEN E.: Arithmetical notes VIII. An asymptotic formula of Rényi, Proc. Amer. Math. Soc. 13, 1962, 536-539. | MR | Zbl

[2] DELANGE H.: Sur un théorème de Rényi. Acta Arithm. 11, 1965, 241-252. | MR | Zbl

[3] DELANGE H.: Sur un théorème de Rényi II. Acta Arithm. 13, 1968, 339-362. | MR | Zbl

[4] DELANGE H.: Sur un théorème de Rényi III. Acta Arithm. 23, 1973, 153-182. | MR | Zbl

[5] KÁTAI I.: Egy megjegyzés H. Delange "Sur un théorème de Rényi" címü dolgozatához. MTA III. Osztály Közleményei 16, 1966, 269-273. | MR

[6] KNOPFMACHER J.: Abstract Analytic Number Theory. North-Holland/American Elsevier, Amsterdam-New York 1975. | MR | Zbl

[7] KNOPFMACHER J.: Arithmetic properties of finite rings and algebras, and analytic number theory, II: Categories and relative analytic number theory. J. reine angew. Math. 254, 1972, 74-99. | MR

[8] LANDAU E.: Handbuch der Lehre von der Verteilung der Primzahlen. zv. II. XLIV, § 162. | Zbl

[9] LANDAU E.: Neuer Beweis der Gleichung $\sum_{n=1}^\infty \mu(k) k^{-1}=0$. Inauguraldissertation, Berlin 1899.

[10] LANDAU E.: Über die Äquivalenz zweier Hauptsätze der analytischen Zahlentheorie. Sitzungber. Akad. Wien, 120, Abt. 2a, 1911, 973-988.

[11] PORUBSKÝ Š.: On the density of certain sets in arithmetical semigroups. Czechoslovak Math. J. 29, 1979, 148-152. | MR | Zbl

[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. | MR | Zbl

[13] SCHWARZ W.: Eine Bemerkung zu einer asymptotischen formel von Herrn Rényi. Arch. Math. (Basel) 21, 1970, 157-166. | MR | Zbl

[14] ZHANG W.: A generalization of Halász' theorem to Beurling's generalized integers and its applications. Illinois J. Math. 31, 1987, 645-664. | MR