A generalization of Maillet and Demyanenko determinants
Mikihito Hirabayashi
Acta Arithmetica, Tome 84 (1998), p. 391-397 / Harvested from The Polish Digital Mathematics Library
Publié le : 1998-01-01
EUDML-ID : urn:eudml:doc:207130
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     author = {Mikihito Hirabayashi},
     title = {A generalization of Maillet and Demyanenko determinants},
     journal = {Acta Arithmetica},
     volume = {84},
     year = {1998},
     pages = {391-397},
     zbl = {0895.11045},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav83i4p391bwm}
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Mikihito Hirabayashi. A generalization of Maillet and Demyanenko determinants. Acta Arithmetica, Tome 84 (1998) pp. 391-397. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav83i4p391bwm/

[000] [] L. Carlitz and F. R. Olson, Maillet's determinant, Proc. Amer. Math. Soc. 6 (1955), 265-269. | Zbl 0065.02703

[001] [] K. Girstmair, The relative class numbers of imaginary cyclic fields of degrees 4, 6, 8 and 10, Math. Comp. 61 (1993), 881-887. | Zbl 0787.11046

[002] [1] K. Girstmair, Class number factors and distribution of residues, Abh. Math. Sem. Univ. Hamburg 67 (1997), to appear. | Zbl 0889.11032

[003] [2] H. Hasse, Über die Klassenzahl abelscher Zahlkörper, Akademie-Verlag, 1952 (reproduction: Springer, 1985).

[004] [3] F. Hazama, Demjanenko matrix, class number, and Hodge group, J. Number Theory 34 (1990), 174-177. | Zbl 0697.12003

[005] [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. | Zbl 0882.11062

[006] [5] H. Tsumura, On Demjanenko's matrix and Maillet's determinant for imaginary abelian number fields, J. Number Theory 60 (1996), 70-79. | Zbl 0866.11063