Voronoi's congruence via Bernoulli distributions

Štefan Porubský

Czechoslovak Mathematical Journal (1984)

  • Volume: 34, Issue: 1, page 1-5
  • ISSN: 0011-4642

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Porubský, Štefan. "Voronoi's congruence via Bernoulli distributions." Czechoslovak Mathematical Journal 34.1 (1984): 1-5. <http://eudml.org/doc/13421>.

@article{Porubský1984,
author = {Porubský, Štefan},
journal = {Czechoslovak Mathematical Journal},
keywords = {congruences; Bernoulli numbers; Voronoi's congruence},
language = {eng},
number = {1},
pages = {1-5},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Voronoi's congruence via Bernoulli distributions},
url = {http://eudml.org/doc/13421},
volume = {34},
year = {1984},
}

TY - JOUR
AU - Porubský, Štefan
TI - Voronoi's congruence via Bernoulli distributions
JO - Czechoslovak Mathematical Journal
PY - 1984
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 34
IS - 1
SP - 1
EP - 5
LA - eng
KW - congruences; Bernoulli numbers; Voronoi's congruence
UR - http://eudml.org/doc/13421
ER -

References

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  1. W. Johnson, 10.1016/0022-314X(75)90020-7, J. Number Th. 7 (1975), 251-265. (1975) Zbl0308.10006MR0376512DOI10.1016/0022-314X(75)90020-7
  2. O. Grün, Eine Kongruenz für Bernoullische Zahlen, Jahresber. d. Deutschen Math. Verein. 50 (1940), 111-112. (1940) Zbl0023.20302MR0002332
  3. S. Lang, Cyclotomic Fields, Springer-Verlag, New York 1978. (1978) Zbl0395.12005MR0485768
  4. J. Uspenski, M. Heaslet, Elementary Number Theory, McGraw-Hill, New York 1939. (1939) Zbl0022.30602
  5. J. Slavutskij, Generalized Voronoi's congurence and the number of classes of ideals of an imaginary quadratic field II, (Russian), Izv. Vyšš. Učebn. Zavedenij, Math. 4 (53) (1966), 118-126. (1966) MR0213328
  6. H. S. Vandiver, 10.2307/2007115, Ann. Math. 18 (1917), 105-114. (1917) Zbl46.1444.03MR1503591DOI10.2307/2007115
  7. H. S. Vandiver, 10.1215/S0012-7094-37-00345-4, Duke Math. J. 3 (1937), 569-584. (1937) Zbl0018.00505MR1546011DOI10.1215/S0012-7094-37-00345-4
  8. G. F. Voronoi, On Bernoulli numbers, (Russian), Commen. Charkov Math. Soc. 2 (1890), 129-148; or in Collected Papers, Vol. I, Publ. House Of the Ukrainian Acad. Sci., Kiev 1952. (1952) 

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