| Title:
|
Identities involving covering systems. II. (English) |
| Author:
|
Porubský, Štefan |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
44 |
| Issue:
|
5 |
| Year:
|
1994 |
| Pages:
|
555-568 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11A07 |
| MSC:
|
11B68 |
| idZBL:
|
Zbl 0821.11008 |
| idMR:
|
MR1338428 |
| . |
| Date available:
|
2009-09-25T11:01:38Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/136628 |
| . |
| Related article:
|
http://dml.cz/handle/10338.dmlcz/136606 |
| . |
| Reference:
|
[1] BEEBEE J.: Bernoulli numbers and exact covering systems.Amer. Math. Monthly 99 (1992), 946-948. Zbl 0776.11008, MR 1190561 |
| Reference:
|
[2] CHOI S. L. G.: Covering the set of integers by congruences of distinct moduli.Math. Comp. 25 (1971), 885-895. MR 0297692 |
| Reference:
|
[3] DEEBA E. Y.-RODRIGUES D. M.: Stirling's series and Bernoulli numbers.Amer. Math. Monthly 98 (1991), 423-426. Zbl 0743.11012, MR 1104307 |
| Reference:
|
[4] LEHMER D. H.: A new approach to Bernoulli polynomials.Amer. Math. Monthly 95 (1988), 905-911. Zbl 0663.10009, MR 0979133 |
| Reference:
|
[5] MORIKAWA R.: On a method to construct covering systems.Bull. Fac. Liberal Arts Nagasaki Univ. 22 (1981), 1-11. MR 0639636 |
| Reference:
|
[6] MORIKAWA R.: Some examples of covering sets.Bull. Fac. Liberal Arts Nagasaki Univ. 21 (1981), 1-4. Zbl 0462.10003, MR 0639635 |
| Reference:
|
[7] MORDELL L. J.: Integral formulae of arithmetical character.J. London Math. Soc. 33 (1958), 371-375. Zbl 0081.27404, MR 0100052 |
| Reference:
|
[8] NIELSEN N.: Traite elementaire des nombres de Bernoulli.Gauthier-Villars, Paris, 1923. |
| Reference:
|
[9] PORUBSKÝ Š.: Covering systems and generating functions.Acta Arith. 26 (1975), 223-231. Zbl 0268.10044, MR 0379423 |
| Reference:
|
[10] PORUBSKÝ, Š: On m times covering systems of congruences.Acta Arith. 29 (1976), 159-169. MR 0399033 |
| Reference:
|
[11] PORUBSKÝ, Š: Identities involving covering systems I.Math. Slovaca 44 (1994), 153-162. MR 1282532 |
| Reference:
|
[12] RAABE J. L.: Die Jacob Bernoulli'sche Function.Zurich, 1848. |
| Reference:
|
[13] RAABE J. L.: Mathematische Mitteilungen. Vol. I; II.Verlag von Meyer & Zeller, Zurich, 1857; 1858. |
| Reference:
|
[14] SAALSCHUTZ L.: Vorlesungen uber die Bernoullischen Zahlen.Verlag von Julius Springer, Berlin, 1893. |
| Reference:
|
[15] SCHINZEL A.: Reducibility of polynomials and covering systems of congruences.Acta Arith. 13 (1967), 91-101. Zbl 0171.00701, MR 0219515 |
| Reference:
|
[16] ZNÁM Š.: Vector-covering systems of arithmetical sequences.Czechoslovak Math. J. 24(99) (1974), 455-461. MR 0352032 |
| . |
