A generalization of Maillet and Demyanenko determinants

Mikihito Hirabayashi

Acta Arithmetica (1998)

  • Volume: 83, Issue: 4, page 391-397
  • ISSN: 0065-1036

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Mikihito Hirabayashi. "A generalization of Maillet and Demyanenko determinants." Acta Arithmetica 83.4 (1998): 391-397. <http://eudml.org/doc/207130>.

@article{MikihitoHirabayashi1998,
author = {Mikihito Hirabayashi},
journal = {Acta Arithmetica},
keywords = {imaginary abelian number field; Maillet determinant; Demyanenko determinant; relative class number},
language = {eng},
number = {4},
pages = {391-397},
title = {A generalization of Maillet and Demyanenko determinants},
url = {http://eudml.org/doc/207130},
volume = {83},
year = {1998},
}

TY - JOUR
AU - Mikihito Hirabayashi
TI - A generalization of Maillet and Demyanenko determinants
JO - Acta Arithmetica
PY - 1998
VL - 83
IS - 4
SP - 391
EP - 397
LA - eng
KW - imaginary abelian number field; Maillet determinant; Demyanenko determinant; relative class number
UR - http://eudml.org/doc/207130
ER -

References

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  1. [] L. Carlitz and F. R. Olson, Maillet's determinant, Proc. Amer. Math. Soc. 6 (1955), 265-269. Zbl0065.02703
  2. [] K. Girstmair, The relative class numbers of imaginary cyclic fields of degrees 4, 6, 8 and 10, Math. Comp. 61 (1993), 881-887. Zbl0787.11046
  3. [1] K. Girstmair, Class number factors and distribution of residues, Abh. Math. Sem. Univ. Hamburg 67 (1997), to appear. Zbl0889.11032
  4. [2] H. Hasse, Über die Klassenzahl abelscher Zahlkörper, Akademie-Verlag, 1952 (reproduction: Springer, 1985). 
  5. [3] F. Hazama, Demjanenko matrix, class number, and Hodge group, J. Number Theory 34 (1990), 174-177. Zbl0697.12003
  6. [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. Zbl0882.11062
  7. [5] H. Tsumura, On Demjanenko's matrix and Maillet's determinant for imaginary abelian number fields, J. Number Theory 60 (1996), 70-79. Zbl0866.11063

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