E(K/k) and other arithmetical invariants for finite Galois extensions
1989 ◽
Vol 114
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pp. 135-142
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Keyword(s):
Let k be an algebraic number field and K be a finite extension of k. Recently, T. Ono defined positive rational numbers E(K/k) and E′(K/k) for K/k. In [7], he investigated some relations between E(K/k) and other cohomological invariants for K/k. He obtained a formula when K is a normal extension of k. In our paper [3], we obtained a similar formula for E′(K/k) in the case of normal extensions K/k. Both proofs essentially use Ono’s results on the Tamagawa number of algebraic tori, on which the formulae themselves do not depend. Hence, in [8], T. Ono posed a problem to give direct proofs of these formulae.
1988 ◽
Vol 112
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pp. 117-124
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1987 ◽
Vol 107
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pp. 121-133
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1973 ◽
Vol 25
(4)
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pp. 870-873
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2019 ◽
Vol 15
(02)
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pp. 353-360
1975 ◽
Vol 20
(1)
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pp. 33-37
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1967 ◽
Vol 29
◽
pp. 281-285
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Keyword(s):
1961 ◽
Vol 19
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pp. 169-187
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