A generalization of Maillet and Demyanenko determinants

• Autorzy: Mikihito Hirabayashi
• Języki publikacji: EN

Kategorie tematyczne

• 11R20: Other abelian and metabelian extensions
• 11R29: Class numbers, class groups, discriminants

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 1998
• Tom: 83
• Numer: 4
• Strony: 391-397

Daty

wydano

1998

otrzymano

1997-03-24

poprawiono

1997-08-18

Twórcy

autor

Mikihito Hirabayashi

• Kanazawa Institute of Technology, 7-1, Ogigaoka, Nonoichi-machi, Ishikawa 921, Japan

Bibliografia

• [] L. Carlitz and F. R. Olson, Maillet's determinant, Proc. Amer. Math. Soc. 6 (1955), 265-269.
• [] K. Girstmair, The relative class numbers of imaginary cyclic fields of degrees 4, 6, 8 and 10, Math. Comp. 61 (1993), 881-887.
• [1] K. Girstmair, Class number factors and distribution of residues, Abh. Math. Sem. Univ. Hamburg 67 (1997), to appear.
• [2] H. Hasse, Über die Klassenzahl abelscher Zahlkörper, Akademie-Verlag, 1952 (reproduction: Springer, 1985).
• [3] F. Hazama, Demjanenko matrix, class number, and Hodge group, J. Number Theory 34 (1990), 174-177.
• [4] M. Hirabayashi, A relative class number formula for an imaginary abelian field by means of Demjanenko matrix, in: Proceedings of the Conference on Analytic and Elementary Number Theory (Vienna, July 18-20, 1996), W. G. Nowak and J. Schoißengeier (eds.), Universität Wien and Universität für Bodenkultur, 1997, 81-91.
• [5] H. Tsumura, On Demjanenko's matrix and Maillet's determinant for imaginary abelian number fields, J. Number Theory 60 (1996), 70-79.