| Title:
|
Stickelberger subideals related to Kummer type congruences (English) |
| Author:
|
Agoh, Takashi |
| Language:
|
English |
| Journal:
|
Mathematica Slovaca |
| ISSN:
|
0139-9918 |
| Volume:
|
48 |
| Issue:
|
4 |
| Year:
|
1998 |
| Pages:
|
347-364 |
| . |
| Category:
|
math |
| . |
| MSC:
|
11B68 |
| MSC:
|
11D41 |
| MSC:
|
11R18 |
| MSC:
|
11R29 |
| MSC:
|
11R54 |
| idZBL:
|
Zbl 0956.11009 |
| idMR:
|
MR1693525 |
| . |
| Date available:
|
2009-09-25T11:31:35Z |
| Last updated:
|
2012-08-01 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/129907 |
| . |
| Reference:
|
[1] AGOH T.: On the Kummer-Mirimanoff congruences.Acta Arith. 55 (1990), 141-156. Zbl 0648.10013, MR 1061635 |
| Reference:
|
[2] AGOH T.: Some variations and consequences of the Kummer-Mirimanoff congruences.Acta Arith. 62 (1992), 73-96. Zbl 0738.11031, MR 1179011 |
| Reference:
|
[3] AGOH T.-MORI K.: Kummer type system of congruences and bases of Stickelberger subideals.Arch. Math. (Brno) 32 (1996), 211-232. Zbl 0903.11007, MR 1421857 |
| 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 théoréme de Fermat.Ann. Sci. Univ. Besancon Math. 3 (1974). 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 FermaVs Last Theorem).Ph.D. Thesis, Queen's Univ., 1989. |
| Reference:
|
[8] HAZAMA F.: Demjanenko matrix, class number, and Hodge group.J. Number Theory 34 (1990), 174-177. Zbl 0697.12003, MR 1042490 |
| Reference:
|
[9] IWASAWA K.: A class number formula for cyclotomic fields.Ann. of Math. 76 (1962), 171-179. Zbl 0125.02003, MR 0154862 |
| Reference:
|
[10] KUMMER E. E.: Einige Sätze über die aus den Wurzeln der Gleichung $a^\lambda = 1$ gebildeten complexen Zahlen, für den Fall, dafl die Klassenanzahl durch λ teilbar ist, nebst Anwendung derselben auf einen weiteren Beweis des letzten Fermat'schen Lehrsatzes.Abhandl. Königl. Akad. Wiss. Berlin (1857), 41-74 [Collected papers, Vol. I, 639-692]. |
| Reference:
|
[11] RIBENBOIM P.: 13 Lectures on Fermat's Last Theorem.Springer-Verlag, New York, 1979. Zbl 0456.10006, MR 0551363 |
| Reference:
|
[12] 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:
|
[13] SKULA L.: A remark on Mirimanoff polynomials.Comment. Math. Univ. Sancti Pauli (Tokyo) 31 (1982), 89-97. Zbl 0496.10006, MR 0674586 |
| Reference:
|
[14] SKULA L.: Some bases of the Stickelberger ideal.Math. Slovaca 43 (1993), 541-571. Zbl 0798.11044, MR 1273710 |
| Reference:
|
[15] SKULA L.: On a special ideal contained in the Stickelberger ideal.J. Number Theory 58 (1996), 173-195. Zbl 0861.11063, MR 1387734 |
| Reference:
|
[16] WASHINGTON L. C.: Introduction to Cyclotomic Fields.Springer-Verlag, New York, 1982. Zbl 0484.12001, MR 0718674 |
| . |
