Identities involving covering systems. II.

Štefan Porubský

Mathematica Slovaca (1994)

  • Volume: 44, Issue: 5, page 555-568
  • ISSN: 0139-9918

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Porubský, Štefan. "Identities involving covering systems. II.." Mathematica Slovaca 44.5 (1994): 555-568. <http://eudml.org/doc/34398>.

@article{Porubský1994,
author = {Porubský, Štefan},
journal = {Mathematica Slovaca},
keywords = {Bernoulli numbers; Bernoulli polynomials; Euler polynomials; covering systems; identities; Euler numbers},
language = {eng},
number = {5},
pages = {555-568},
publisher = {Mathematical Institute of the Slovak Academy of Sciences},
title = {Identities involving covering systems. II.},
url = {http://eudml.org/doc/34398},
volume = {44},
year = {1994},
}

TY - JOUR
AU - Porubský, Štefan
TI - Identities involving covering systems. II.
JO - Mathematica Slovaca
PY - 1994
PB - Mathematical Institute of the Slovak Academy of Sciences
VL - 44
IS - 5
SP - 555
EP - 568
LA - eng
KW - Bernoulli numbers; Bernoulli polynomials; Euler polynomials; covering systems; identities; Euler numbers
UR - http://eudml.org/doc/34398
ER -

References

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  2. CHOI S. L. G., Covering the set of integers by congruences of distinct moduli, Math. Comp. 25 (1971), 885-895. (1971) MR0297692
  3. DEEBA E. Y.-RODRIGUES D. M., Stirling's series and Bernoulli numbers, Amer. Math. Monthly 98 (1991), 423-426. (1991) Zbl0743.11012MR1104307
  4. LEHMER D. H., A new approach to Bernoulli polynomials, Amer. Math. Monthly 95 (1988), 905-911. (1988) Zbl0663.10009MR0979133
  5. MORIKAWA R., On a method to construct covering systems, Bull. Fac. Liberal Arts Nagasaki Univ. 22 (1981), 1-11. (1981) MR0639636
  6. MORIKAWA R., Some examples of covering sets, Bull. Fac. Liberal Arts Nagasaki Univ. 21 (1981), 1-4. (1981) Zbl0462.10003MR0639635
  7. MORDELL L. J., Integral formulae of arithmetical character, J. London Math. Soc. 33 (1958), 371-375. (1958) Zbl0081.27404MR0100052
  8. NIELSEN N., Traite elementaire des nombres de Bernoulli, Gauthier-Villars, Paris, 1923. (1923) 
  9. PORUBSKÝ Š., Covering systems and generating functions, Acta Arith. 26 (1975), 223-231. (1975) Zbl0268.10044MR0379423
  10. PORUBSKÝ, Š, On m times covering systems of congruences, Acta Arith. 29 (1976), 159-169. (1976) MR0399033
  11. PORUBSKÝ, Š, Identities involving covering systems I, Math. Slovaca 44 (1994), 153-162. (1994) MR1282532
  12. RAABE J. L., Die Jacob Bernoulli'sche Function, Zurich, 1848. 
  13. RAABE J. L., Mathematische Mitteilungen. Vol. I; II, Verlag von Meyer & Zeller, Zurich, 1857; 1858. 
  14. SAALSCHUTZ L., Vorlesungen uber die Bernoullischen Zahlen, Verlag von Julius Springer, Berlin, 1893. 
  15. SCHINZEL A., Reducibility of polynomials and covering systems of congruences, Acta Arith. 13 (1967), 91-101. (1967) Zbl0171.00701MR0219515
  16. ZNÁM Š., Vector-covering systems of arithmetical sequences, Czechoslovak Math. J. 24(99) (1974), 455-461. (1974) MR0352032

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