Kummer type system of congruences and bases of Stickelberger subideals

Takashi Agoh; Kenichi Mori

Archivum Mathematicum (1996)

  • Volume: 032, Issue: 3, page 211-232
  • ISSN: 0044-8753

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Agoh, Takashi, and Mori, Kenichi. "Kummer type system of congruences and bases of Stickelberger subideals." Archivum Mathematicum 032.3 (1996): 211-232. <http://eudml.org/doc/247861>.

@article{Agoh1996,
author = {Agoh, Takashi, Mori, Kenichi},
journal = {Archivum Mathematicum},
keywords = {Kummer system of congruences; Bernoulli numbers; Stickelberger ideal; Mirimanoff polynomials; group ring; cyclotomic field},
language = {eng},
number = {3},
pages = {211-232},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Kummer type system of congruences and bases of Stickelberger subideals},
url = {http://eudml.org/doc/247861},
volume = {032},
year = {1996},
}

TY - JOUR
AU - Agoh, Takashi
AU - Mori, Kenichi
TI - Kummer type system of congruences and bases of Stickelberger subideals
JO - Archivum Mathematicum
PY - 1996
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 032
IS - 3
SP - 211
EP - 232
LA - eng
KW - Kummer system of congruences; Bernoulli numbers; Stickelberger ideal; Mirimanoff polynomials; group ring; cyclotomic field
UR - http://eudml.org/doc/247861
ER -

References

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  2. Agoh T., On the Kummer-Mirimanoff congruences, Acta Arith. 55(1990), 141-156. (1990) Zbl0648.10013MR1061635
  3. Agoh T., Some variations and consequences of the Kummer-Mirimanoff congruences, Acta Arith. 62(1992), 73-96. (1992) Zbl0738.11031MR1179011
  4. Agoh T., Skula L., Kummer type congruences and Stickelberger subideals, Acta Arith. 75 (1996), 235-250. (1996) Zbl0841.11012MR1387862
  5. Benneton G., Sur le dernier théorème de Fermat, Ann. Sci. Univ. Besançon Math. 3(1974), 15 pp. (1974) Zbl0348.10010MR0419347
  6. Fueter R., Kummers Kriterium zum letzten Theorem von Fermat, Math. Ann. 85(1922), 11-20. (1922) MR1512040
  7. Granville A., Diophantine equations with varying exponents (with special reference to Fermat’s last theorem), Ph.D. thesis, Queen’s University, 1987. (1987) MR2635873
  8. Iwasawa K., A class number formula for cyclotomic field, Ann. of Math. 76(1962), 171-179. (1962) MR0154862
  9. Sinnott W., On the Stickelberger ideal and the circular units of a cyclotomic field, Ann. of Math. 108(1978), 107-134. (1978) Zbl0395.12014MR0485778
  10. Sinnott W., On the Stickelberger ideal and the circular units of an abelian field, Invent. Math. 62(1980), 181-234. (1980) Zbl0465.12001MR0595586
  11. Skula L., A remark on Mirimanoff polynomials, Comment. Math. Univ. St. Paul. 31(1982), 89-97. (1982) Zbl0496.10006MR0674586
  12. Skula L., Systems of equations depending on certain ideals, Arch. Math. (Brno) 21(1985), 23-38. (1985) Zbl0589.12005MR0818304
  13. Skula L., Some bases of the Stickelberger ideal, Math. Slovaca 43(1993), 541-571. (1993) Zbl0798.11044MR1273710
  14. Skula L., Agoh’s bases of the Stickelberger ideal, Math. Slovaca 44(1994), 663-670. (1994) Zbl0826.11049MR1338436
  15. Skula L., On a special ideal contained in the Stickelberger ideal, J. of Number Theory, 58 (1996), 173-195. (1996) Zbl0861.11063MR1387734
  16. Skula L., Inclusion among special Stickelberger subideals, to appear in the Proceedings of the 12-th Czecho-Slovak Number Theory Conference (1995). (1995) MR1475511

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