Geodesic
Stickelberger subideals related to Kummer type congruences
Mathematica slovaca, Tome 48 (1998) no. 4, pp. 347-364
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 11B68, 11D41, 11R18, 11R29, 11R54 
@article{MASLO_1998_48_4_a2,
     author = {Agoh, Takashi},
     title = {Stickelberger subideals related to {Kummer} type congruences},
     journal = {Mathematica slovaca},
     pages = {347--364},
     year = {1998},
     volume = {48},
     number = {4},
     mrnumber = {1693525},
     zbl = {0956.11009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1998_48_4_a2/}
}
TY  - JOUR
AU  - Agoh, Takashi
TI  - Stickelberger subideals related to Kummer type congruences
JO  - Mathematica slovaca
PY  - 1998
SP  - 347
EP  - 364
VL  - 48
IS  - 4
UR  - http://geodesic.mathdoc.fr/item/MASLO_1998_48_4_a2/
LA  - en
ID  - MASLO_1998_48_4_a2
ER  - 
%0 Journal Article
%A Agoh, Takashi
%T Stickelberger subideals related to Kummer type congruences
%J Mathematica slovaca
%D 1998
%P 347-364
%V 48
%N 4
%U http://geodesic.mathdoc.fr/item/MASLO_1998_48_4_a2/
%G en
%F MASLO_1998_48_4_a2
Agoh, Takashi. Stickelberger subideals related to Kummer type congruences. Mathematica slovaca, Tome 48 (1998) no. 4, pp. 347-364. http://geodesic.mathdoc.fr/item/MASLO_1998_48_4_a2/

[1] AGOH T.: On the Kummer-Mirimanoff congruences. Acta Arith. 55 (1990), 141-156. | MR | Zbl

[2] AGOH T.: Some variations and consequences of the Kummer-Mirimanoff congruences. Acta Arith. 62 (1992), 73-96. | MR | Zbl

[3] AGOH T.-MORI K.: Kummer type system of congruences and bases of Stickelberger subideals. Arch. Math. (Brno) 32 (1996), 211-232. | MR | Zbl

[4] AGOH T.-SKULA L.: Kummer type congruences and Stickelberger subideals. Acta Arith. 75 (1996), 235-250. | MR | Zbl

[5] BENNETON G.: Sur le dernier théoréme de Fermat. Ann. Sci. Univ. Besancon Math. 3 (1974). | MR | Zbl

[6] FUETER R.: Kummers Kriterium zum letzten Theorem von Fermat. Math. Ann. 85 (1922), 11-20. | MR

[7] GRANVILLE A.: Diophantine Equations with Varying Exponents (with Special Reference to FermaVs Last Theorem). Ph.D. Thesis, Queen's Univ., 1989.

[8] HAZAMA F.: Demjanenko matrix, class number, and Hodge group. J. Number Theory 34 (1990), 174-177. | MR | Zbl

[9] IWASAWA K.: A class number formula for cyclotomic fields. Ann. of Math. 76 (1962), 171-179. | MR | Zbl

[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].

[11] RIBENBOIM P.: 13 Lectures on Fermat's Last Theorem. Springer-Verlag, New York, 1979. | MR | Zbl

[12] SINNOTT W.: On the Stickelberger ideal and the circular units of an abelian field. Invent. Math. 62 (1980), 181-234. | MR | Zbl

[13] SKULA L.: A remark on Mirimanoff polynomials. Comment. Math. Univ. Sancti Pauli (Tokyo) 31 (1982), 89-97. | MR | Zbl

[14] SKULA L.: Some bases of the Stickelberger ideal. Math. Slovaca 43 (1993), 541-571. | MR | Zbl

[15] SKULA L.: On a special ideal contained in the Stickelberger ideal. J. Number Theory 58 (1996), 173-195. | MR | Zbl

[16] WASHINGTON L. C.: Introduction to Cyclotomic Fields. Springer-Verlag, New York, 1982. | MR | Zbl