| Title:
|
Kummer type system of congruences and bases of Stickelberger subideals (English) |
| Author:
|
Agoh, Takashi |
| Author:
|
Mori, Kenichi |
| Language:
|
English |
| Journal:
|
Archivum Mathematicum |
| ISSN:
|
0044-8753 (print) |
| ISSN:
|
1212-5059 (online) |
| Volume:
|
32 |
| Issue:
|
3 |
| Year:
|
1996 |
| Pages:
|
211-232 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11B68 |
| MSC:
|
11R18 |
| MSC:
|
11R23 |
| MSC:
|
11R29 |
| MSC:
|
11R54 |
| MSC:
|
16S34 |
| idZBL:
|
Zbl 0903.11007 |
| idMR:
|
MR1421857 |
| . |
| Date available:
|
2008-06-06T21:31:09Z |
| Last updated:
|
2012-05-10 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/107575 |
| . |
| Reference:
|
[1] Agoh T.: On the criteria of Wieferich and Mirimanoff.C.R. Math. Rep. Acad. Sci. Canada 8(1989), 49-52. MR 0827116 |
| Reference:
|
[2] Agoh T.: On the Kummer-Mirimanoff congruences.Acta Arith. 55(1990), 141-156. Zbl 0648.10013, MR 1061635 |
| Reference:
|
[3] Agoh T.: Some variations and consequences of the Kummer-Mirimanoff congruences.Acta Arith. 62(1992), 73-96. Zbl 0738.11031, MR 1179011 |
| Reference:
|
[4] Agoh T., Skula L.: Kummer type congruences and Stickelberger subideals.Acta Arith. 75 (1996), 235-250. Zbl 0841.11012, MR 1387862 |
| Reference:
|
[5] Benneton G.: Sur le dernier théorème de Fermat.Ann. Sci. Univ. Besançon Math. 3(1974), 15 pp. Zbl 0348.10010, MR 0419347 |
| Reference:
|
[6] Fueter R.: Kummers Kriterium zum letzten Theorem von Fermat.Math. Ann. 85(1922), 11-20. MR 1512040 |
| Reference:
|
[7] Granville A.: Diophantine equations with varying exponents (with special reference to Fermat’s last theorem).Ph.D. thesis, Queen’s University, 1987. MR 2635873 |
| Reference:
|
[8] Iwasawa K.: A class number formula for cyclotomic field.Ann. of Math. 76(1962), 171-179. MR 0154862 |
| Reference:
|
[9] Sinnott W.: On the Stickelberger ideal and the circular units of a cyclotomic field.Ann. of Math. 108(1978), 107-134. Zbl 0395.12014, MR 0485778 |
| Reference:
|
[10] Sinnott W.: On the Stickelberger ideal and the circular units of an abelian field.Invent. Math. 62(1980), 181-234. Zbl 0465.12001, MR 0595586 |
| Reference:
|
[11] Skula L.: A remark on Mirimanoff polynomials.Comment. Math. Univ. St. Paul. 31(1982), 89-97. Zbl 0496.10006, MR 0674586 |
| Reference:
|
[12] Skula L.: Systems of equations depending on certain ideals.Arch. Math. (Brno) 21(1985), 23-38. Zbl 0589.12005, MR 0818304 |
| Reference:
|
[13] Skula L.: Some bases of the Stickelberger ideal.Math. Slovaca 43(1993), 541-571. Zbl 0798.11044, MR 1273710 |
| Reference:
|
[14] Skula L.: Agoh’s bases of the Stickelberger ideal.Math. Slovaca 44(1994), 663-670. Zbl 0826.11049, MR 1338436 |
| Reference:
|
[15] Skula L.: On a special ideal contained in the Stickelberger ideal.J. of Number Theory, 58 (1996), 173-195. Zbl 0861.11063, MR 1387734 |
| Reference:
|
[16] Skula L.: Inclusion among special Stickelberger subideals.to appear in the Proceedings of the 12-th Czecho-Slovak Number Theory Conference (1995). MR 1475511 |
| . |
