| Title:
|
О числе неприводимых факторов данного многочлена над конечным полем (Russian) |
| Title:
|
On the number of irreducible factors of a polynomial over a finite field (English) |
| Author:
|
Schwarz, Štefan |
| Language:
|
Russian |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
11 |
| Issue:
|
2 |
| Year:
|
1961 |
| Pages:
|
213-225 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| MSC:
|
12.25 |
| idZBL:
|
Zbl 0102.25303 |
| idMR:
|
MR0123558 |
| DOI:
|
10.21136/CMJ.1961.100455 |
| . |
| Date available:
|
2008-06-09T13:10:13Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/100455 |
| . |
| Reference:
|
[1] A. A. Albert: Fundamental concepts of higher algebra.Univ. of Chicago Press, 1956. Zbl 0073.00802, MR 0098735 |
| Reference:
|
[2] L. E. Dickson: History of the Theory of Numbers.Vol. I, New York, reprinted 1934. |
| Reference:
|
[3] O. Ore: Contributions to the theory of finite fields.Trans. Amer. Math. Soc. 36 (1934), 243-274. Zbl 0009.10003, MR 1501740, 10.1090/S0002-9947-1934-1501740-7 |
| Reference:
|
[4] K. Petr: Über die Reduzibilität eines Polynoms mit ganzzahligen Koeffizienten nach einem Primzahlmodul.Časopis pěst. mat. fys. 66 (1937), 85-94. Zbl 0016.04902 |
| Reference:
|
[5] L. Rédei: Algebra.Akademische Verlagsgesellschaft, Leipzig, 1959. MR 0106151 |
| Reference:
|
[6] L. Rédei: A short proof of a theorem of Š. Schwarz concerning finite fields.Časopis pěst. mat. fys. 75 (1950), 211-212. MR 0041881 |
| Reference:
|
[7] L. Rédei P. Turán: Zur Theorie der algebraischen Gleichungen über endlichen Körpern.Acta aritmetica 5 (1959), 223-225. MR 0105406, 10.4064/aa-5-2-223-225 |
| Reference:
|
[8] Š. Schwarz: Contribution à la réductibilité des polynômes dans la théorie des congruences.Věstník Král. české spol. nauk, Třída matemat.-přírodověd. (1939), 1-7. |
| Reference:
|
[9] Š. Schwarz: Příspěvek k reducibilitě binomických kongruencí.Časopis pěst. mat. fys. 71 (1946), 21-31. MR 0021005 |
| Reference:
|
[10] Š. Schwarz: On the reducibility of binomial congruences and the bound of the least integer belonging to a given exponent (mod p).Časopis pěst. mat. fys. 74 (1949), 1 -16. MR 0032669 |
| Reference:
|
[11] Š. Schwarz: On the reducibility of polynomials over a finite field.Quart. J. of Math. (Oxford) (2) 7(1956), 110-124. Zbl 0071.01703, MR 0096679, 10.1093/qmath/7.1.110 |
| Reference:
|
[12] Š. Schwarz: Об обном классе полиномов над конечным полем.Mat. fyz. čas. SAV, 10 (1960), 68-80. Zbl 0104.01603, MR 0130245 |
| . |
