| Title:
|
Criterion for 3 to be eleventh power (English) |
| Author:
|
Jakubec, Stanislav |
| Language:
|
English |
| Journal:
|
Acta Mathematica et Informatica Universitatis Ostraviensis |
| ISSN:
|
1211-4774 |
| Volume:
|
3 |
| Issue:
|
1 |
| Year:
|
1995 |
| Pages:
|
37-(43) |
| . |
| Category:
|
math |
| . |
| MSC:
|
11A07 |
| MSC:
|
11D09 |
| MSC:
|
11L10 |
| MSC:
|
11N32 |
| MSC:
|
11R11 |
| MSC:
|
11R18 |
| idZBL:
|
Zbl 0876.11002 |
| idMR:
|
MR1474064 |
| . |
| Date available:
|
2009-01-30T09:02:02Z |
| Last updated:
|
2013-10-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120492 |
| . |
| Reference:
|
[1] Alderson H. P.: On the septimic character of 2 and 3.Proc. Camb. Phil. Soc. 74 (1973), 421-433. Zbl 0265.10003, MR 0323763 |
| Reference:
|
[2] Ankeny N. C.: Criterion for rth power residuacity.Pacific J. Math. 10 (1960), 1115-1124. Zbl 0113.26801, MR 0118708, 10.2140/pjm.1960.10.1115 |
| Reference:
|
[3] Jacobi C. G. J.: De residuis cubicis commentatio numerosa.J. für Reine und Angew. Math. 2 (1827), 66-69. |
| Reference:
|
[4] Jakubec S.: Note on the Jacobi sum.Seminaire de theorie des nombres de Bordeaux to appear (1994). |
| Reference:
|
[5] Lehmer E.: The quintic character of 2 and 3.Duke Math. J. 18 (1951), 11-18. Zbl 0045.02002, MR 0040338, 10.1215/S0012-7094-51-01802-9 |
| Reference:
|
[6] Leonard P. A., Williams K. S.: The septic character of 2, 3, 5 and 7.Pacific J. Math. 52 (1974), 143-147. MR 0364064 |
| Reference:
|
[7] Muskat J. B.: On the solvability of $x^c \equiv e (\bmod p).Pacific J. Math. 14 (1964), 257-260. Zbl 0117.27701, MR 0159781 |
| Reference:
|
[8] Parnami J. C., Agrawal M. K., Rajwade A.R.: Criterion for 2 to be l-th power.Acta Arith. 43 (1984), 361-364. MR 0756287 |
| Reference:
|
[9] Williams K. S.: Explicit criteria for quintic residuacity.Math. Comp. 30 (1974), 1-6. MR 0412089 |
| . |