| Title:
|
Voronoi's congruence via Bernoulli distributions (English) |
| Author:
|
Porubský, Štefan |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
34 |
| Issue:
|
1 |
| Year:
|
1984 |
| Pages:
|
1-5 |
| Summary lang:
|
Russian |
| . |
| Category:
|
math |
| . |
| MSC:
|
11B68 |
| idZBL:
|
Zbl 0543.10012 |
| idMR:
|
MR731974 |
| DOI:
|
10.21136/CMJ.1984.101920 |
| . |
| Date available:
|
2008-06-09T14:57:26Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/101920 |
| . |
| Reference:
|
[1] W. Johnson: p-adic proofs of congruences for the Bernoulli numbers.J. Number Th. 7 (1975), 251-265. Zbl 0308.10006, MR 0376512, 10.1016/0022-314X(75)90020-7 |
| Reference:
|
[2] O. Grün: Eine Kongruenz für Bernoullische Zahlen.Jahresber. d. Deutschen Math. Verein. 50 (1940), 111-112. MR 0002332 |
| Reference:
|
[3] S. Lang: Cyclotomic Fields.Springer-Verlag, New York 1978. Zbl 0395.12005, MR 0485768 |
| Reference:
|
[4] J. Uspenski, M. Heaslet: Elementary Number Theory.McGraw-Hill, New York 1939. |
| Reference:
|
[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. MR 0213328 |
| Reference:
|
[6] H. S. Vandiver: Symmetric functions formed by systems of elements of a finite algebra and their connection with Fermat's quotient and Bernoulli numbers.Ann. Math. 18 (1917), 105-114. MR 1503591, 10.2307/2007115 |
| Reference:
|
[7] H. S. Vandiver: On Bernoulli numbers and Fermat's last theorem.Duke Math. J. 3 (1937), 569-584. MR 1546011, 10.1215/S0012-7094-37-00345-4 |
| Reference:
|
[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. |
| . |
