| Title:
|
Rényi's formula with remainder term on arithmetical semigroups (English) |
| Author:
|
Porubský, Štefan |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
40 |
| Issue:
|
1 |
| Year:
|
1990 |
| Pages:
|
37-51,52 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11N37 |
| MSC:
|
11N80 |
| idZBL:
|
Zbl 0735.11045 |
| idMR:
|
MR1094971 |
| . |
| Date available:
|
2009-09-25T10:22:15Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136501 |
| . |
| Reference:
|
[1] COHEN E.: Arithmetical notes VIII.An asymptotic formula of Rényi, Proc. Amer. Math. Soc. 13, 1962, 536-539. Zbl 0117.27704, MR 0138606 |
| Reference:
|
[2] DELANGE H.: Sur un théorème de Rényi.Acta Arithm. 11, 1965, 241-252. Zbl 0131.04504, MR 0201398 |
| Reference:
|
[3] DELANGE H.: Sur un théorème de Rényi II.Acta Arithm. 13, 1968, 339-362. Zbl 0155.09101, MR 0228457 |
| Reference:
|
[4] DELANGE H.: Sur un théorème de Rényi III.Acta Arithm. 23, 1973, 153-182. Zbl 0234.10045, MR 0330075 |
| Reference:
|
[5] KÁTAI I.: Egy megjegyzés H. Delange "Sur un théorème de Rényi" címü dolgozatához.MTA III. Osztály Közleményei 16, 1966, 269-273. MR 0237444 |
| Reference:
|
[6] KNOPFMACHER J.: Abstract Analytic Number Theory.North-Holland/American Elsevier, Amsterdam-New York 1975. Zbl 0322.10001, MR 0419383 |
| Reference:
|
[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 0364132 |
| Reference:
|
[8] LANDAU E.: Handbuch der Lehre von der Verteilung der Primzahlen.zv. II. XLIV, § 162. Zbl 0051.28007 |
| Reference:
|
[9] LANDAU E.: Neuer Beweis der Gleichung $\sum_{n=1}^\infty \mu(k) k^{-1}=0$.Inauguraldissertation, Berlin 1899. |
| Reference:
|
[10] LANDAU E.: Über die Äquivalenz zweier Hauptsätze der analytischen Zahlentheorie.Sitzungber. Akad. Wien, 120, Abt. 2a, 1911, 973-988. |
| Reference:
|
[11] PORUBSKÝ Š.: On the density of certain sets in arithmetical semigroups.Czechoslovak Math. J. 29, 1979, 148-152. Zbl 0439.10033, MR 0518150 |
| Reference:
|
[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. Zbl 0066.03203, MR 0076787 |
| Reference:
|
[13] SCHWARZ W.: Eine Bemerkung zu einer asymptotischen formel von Herrn Rényi.Arch. Math. (Basel) 21, 1970, 157-166. Zbl 0197.32301, MR 0272730 |
| Reference:
|
[14] ZHANG W.: A generalization of Halász' theorem to Beurling's generalized integers and its applications.Illinois J. Math. 31, 1987, 645-664. MR 0909789 |
| . |
