Some bases of the Stickelberger ideal
Mathematica slovaca, Tome 43 (1993) no. 5, pp. 541-571
Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

Voir la notice de l'article

Classification : 11R18
@article{MASLO_1993_43_5_a1,
     author = {Skula, Ladislav},
     title = {Some bases of the {Stickelberger} ideal},
     journal = {Mathematica slovaca},
     pages = {541--571},
     year = {1993},
     volume = {43},
     number = {5},
     mrnumber = {1273710},
     zbl = {0798.11044},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/MASLO_1993_43_5_a1/}
}
TY  - JOUR
AU  - Skula, Ladislav
TI  - Some bases of the Stickelberger ideal
JO  - Mathematica slovaca
PY  - 1993
SP  - 541
EP  - 571
VL  - 43
IS  - 5
UR  - http://geodesic.mathdoc.fr/item/MASLO_1993_43_5_a1/
LA  - en
ID  - MASLO_1993_43_5_a1
ER  - 
%0 Journal Article
%A Skula, Ladislav
%T Some bases of the Stickelberger ideal
%J Mathematica slovaca
%D 1993
%P 541-571
%V 43
%N 5
%U http://geodesic.mathdoc.fr/item/MASLO_1993_43_5_a1/
%G en
%F MASLO_1993_43_5_a1
Skula, Ladislav. Some bases of the Stickelberger ideal. Mathematica slovaca, Tome 43 (1993) no. 5, pp. 541-571. http://geodesic.mathdoc.fr/item/MASLO_1993_43_5_a1/

[1] AGOH T.: On Fermat's last theorem. C.R. Math. Rep. Acad. Sci. Canada VII (1990), 11-15. | MR | Zbl

[2] BENNETON G.: Sur le dernier théorème de Fermat. Ann. Sci. Univ. Besançon Math. 3 (1974), 15pp. | MR | Zbl

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

[4] GRANVILLE A. J.: Diophantine Equations with Varying Exponents (with Special Reference to Fermat's Last Theorem). Ph. D. thesis, Queen's University, 1987.

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

[6] KUČERA R.: On bases of the Stickelberger ideal and of the group of circular units of a cyclotomic fields. J. Number Theory 40 (1992), 284-316. | MR

[7] KUMMER E. E.: Über die Zerlegung der aus Wurzeln der Einheit gebildeten complexen Zahlen in ihre Primfactoren. J. Reine Angew. Math. 35 (1847), 327-367, (Coll. Papers I, 211-251).

[8] KUMMER E. E.: Einige Sëtze über die aus den Wurzeln der Gleichung αλ = 1 gebildeten complexen Zahlen, für den Fall, daß die Klassenanzahl durch λ theilbar ist, nebst Anwendung derselben auf einen weiteren Beweis des letzten Fermat'schen Lehrsatzes. Abh. Königl. Akad. Wiss., Berlin (1857), 41-74, (Coll. Papers I, 639-692).

[9] LERCH M.: Zur Theorie des Fermatschen Quotienten (a p-1 - 1)/p = q(a). Math. Ann. 60 (1905), 471-490. | MR

[10] LE LIDEC P.: Sur une forme nouvelle des congruences de Kummer-Mirimanoff. C.R. Acad. Sci. Paris Sér. A 265 (1967), 89-90. | MR | Zbl

[11] LE LIDEC P.: Nouvelle forme des congruences de Kummer-Mirimanoff pour le premier cas du théorème de Fermat. Bull. Soc. Math. France 97 (1969), 321-328. | MR | Zbl

[12] NEWMAN M.: A table of the first factor for prime cyclotomic fields. Math. Comp. 24(109) (1970), 215-219. | MR

[13] SINNOTT W.: On the Stickelberger ideal and the circular units of a cyclotomic field. Ann. of Math. 108 (1978), 107-134. | MR | Zbl

[14] SINNOTT W.: On the Stickelberger ideal and the circular units of an abelian field. In: Invent. Math. 62, Springer, Berlin-New York, 1980, pp. 181-234. | MR | Zbl

[15] SKULA L.: Index of irregularity of a prime. J. Reine Angew. Math. 315 (1980), 92-106. | MR | Zbl

[16] SKULA L.: Another proof of Iwasawa's class number formula. Acta Arith. XXXIX (1981), 1-6. | MR | Zbl

[17] SKULA L.: A remark on Mirimanoff polynomials. Comment. Math. Univ. St. Paul. 31 (1982), 89-97. | MR | Zbl

[18] SKULA L.: Systems of equations depending on certain ideals. Arch. Math. (Brno) 21 (1985), 23-38. | MR | Zbl

[19] SKULA L.: A note on the index of irregularity. J. Number Theory 22 (1986), 125-138. | MR | Zbl

[20] VANDIVER H. S.: A property of cyclotomic integers and its relation to Fermat's last theorem. Ann. of Math. 21 (1919-20), 73-80. | MR

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