On a direct sum decomposition of the Dem'yanenko matrix
Acta Arithmetica (1996)
- Volume: 77, Issue: 1, page 71-76
- ISSN: 0065-1036
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topHirofumi Tsumura. "On a direct sum decomposition of the Dem'yanenko matrix." Acta Arithmetica 77.1 (1996): 71-76. <http://eudml.org/doc/206908>.
@article{HirofumiTsumura1996,
author = {Hirofumi Tsumura},
journal = {Acta Arithmetica},
keywords = {class number; imaginary abelian field; Dem'yanenko matrix; Maillet determinant; direct sum decomposition},
language = {eng},
number = {1},
pages = {71-76},
title = {On a direct sum decomposition of the Dem'yanenko matrix},
url = {http://eudml.org/doc/206908},
volume = {77},
year = {1996},
}
TY - JOUR
AU - Hirofumi Tsumura
TI - On a direct sum decomposition of the Dem'yanenko matrix
JO - Acta Arithmetica
PY - 1996
VL - 77
IS - 1
SP - 71
EP - 76
LA - eng
KW - class number; imaginary abelian field; Dem'yanenko matrix; Maillet determinant; direct sum decomposition
UR - http://eudml.org/doc/206908
ER -
References
top- [D] K. Dohmae, Demjanenko matrix for imaginary abelian fields of odd conductors, Proc. Japan Acad. Ser. A 70 (1994), 292-294. Zbl0829.11055
- [G] K. Girstmair, The relative class numbers of imaginary cyclotomic fields of degrees 4, 6, 8 and 10, Math. Comp. 61 (1993), 881-887. Zbl0787.11046
- [S-Sch] J. W. Sands and W. Schwarz, A Demjanenko matrix for abelian fields of prime power conductor, J. Number Theory 52 (1995), 85-97. Zbl0829.11054
- [T] H. Tsumura, On Demjanenko's matrix and Maillet's determinant for imaginary abelian number fields, J. Number Theory, to appear. Zbl0866.11063
- [W] L. C. Washington, Introduction to Cyclotomic Fields, Springer, New York, 1982. Zbl0484.12001
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