| Title:
|
Identities involving covering systems. I. (English) |
| Author:
|
Porubský, Štefan |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
44 |
| Issue:
|
2 |
| Year:
|
1994 |
| Pages:
|
153-162 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11A07 |
| MSC:
|
11B68 |
| idZBL:
|
Zbl 0809.11012 |
| idMR:
|
MR1282532 |
| . |
| Date available:
|
2009-09-25T10:55:29Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136606 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/136628 |
| . |
| Reference:
|
[1] BEEBEE J.: Bernoulli numbers and exact covering systems.Amer. Math. Monthly 99 (1992), 946-948. Zbl 0776.11008, MR 1190561 |
| Reference:
|
[2] DEEBA E. Y., RОDRIGUES D. M.: Stirling's series and Bernoulli numbers.Amer. Math. Monthly 98 (1991), 423-426. MR 1104307 |
| Reference:
|
[3] ERDÖS P.: On integers of the form 2k + p and some related problems.Summa Brasil. Math. 2 (1950), 113-123. MR 0044558 |
| Reference:
|
[4] FRAENKEL A. S.: A characterization of exactly covering systems.Discrete Math. 4 (1973), 359-366. MR 0316359 |
| Reference:
|
[5] NAMIAS V.: A simple derivation of Stirling's asymptotic series.Amer. Math. Monthly 93 (1986), 25- 29. Zbl 0615.05010, MR 0824587 |
| Reference:
|
[6] PОRUBSKÝ Š.: Natural exactly covering systems of congruences.Czechoslovak Math. J. 24(99) (1974), 598-606. MR 0354520 |
| Reference:
|
[7] PОRUBSKÝ Š.: Covering systems and generating functions.Acta Arith. 26 (1975), 223-231. MR 0379423 |
| Reference:
|
[8] PОRUBSKÝ Š.: On m times covering systems of congruences.Acta Arith. 29 (1976), 159-169. MR 0399033 |
| Reference:
|
[9] PORUBSKÝ Š.: Results and Problems on Covering Systems of Residue Classes.Mitt. Math. Sem. Giessen. Heft 150, Univ. Giessen, Giessen, 1981. Zbl 0479.10032, MR 0638657 |
| Reference:
|
[10] RAABE J. L.: Die Jacob Bernoulli'sche Function.Zürich, 1848. |
| Reference:
|
[11] STERN J.: Beiträge zur Theorie der Bernoullischen und Eulerschen Zahlen.Abh. Geselschaft Wiss. Göttingen 23 (1878). 1-44. |
| Reference:
|
[12] ZNÁM Š.: Vector-covering systems of arithmetical sequences.Czechoslovak Math. J. 24(99) (1974), 455-461. MR 0352032 |
| . |
