Kummer type system of congruences and bases of Stickelberger subideals
Archivum mathematicum, Tome 32 (1996) no. 3, pp. 211-232
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Classification : 11B68, 11R18, 11R23, 11R29, 11R54, 16S34
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     title = {Kummer type system of congruences and bases of {Stickelberger} subideals},
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     language = {en},
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}
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Agoh, Takashi; Mori, Kenichi. Kummer type system of congruences and bases of Stickelberger subideals. Archivum mathematicum, Tome 32 (1996) no. 3, pp. 211-232. http://geodesic.mathdoc.fr/item/ARM_1996_32_3_a5/

[1] Agoh T.: On the criteria of Wieferich and Mirimanoff. C.R. Math. Rep. Acad. Sci. Canada 8(1989), 49-52. | MR

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

[3] Agoh T.: Some variations and consequences of the Kummer-Mirimanoff congruences. Acta Arith. 62(1992), 73-96. | 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 théorème de Fermat. Ann. Sci. Univ. Besançon Math. 3(1974), 15 pp. | 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 Fermat’s last theorem). Ph.D. thesis, Queen’s University, 1987. | MR

[8] Iwasawa K.: A class number formula for cyclotomic field. Ann. of Math. 76(1962), 171-179. | MR

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

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

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

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

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

[14] Skula L.: Agoh’s bases of the Stickelberger ideal. Math. Slovaca 44(1994), 663-670. | MR | Zbl

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

[16] Skula L.: Inclusion among special Stickelberger subideals. to appear in the Proceedings of the 12-th Czecho-Slovak Number Theory Conference (1995). | MR