A sufficient condition for Leopoldt's conjecture |
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Authors: | Norikazu Kubotera |
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Affiliation: | NEC Corporation, System Platform Software Development Division, Igarashi Building 6F, 11-5, Shibaura 2-chome, Minato-ku, Tokyo 108-8557, Japan |
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Abstract: | In this paper, by using an analogue of theorems of Iwasawa (Kenkichi Iwasawa Collected Papers, vol. 2, Springer, Berlin, 2001, pp. 862-870) we give a sufficient condition for Leopoldt's conjecture (J. Reine Angew. Math. 209 (1962) 54) on the non-vanishing of the p-adic regulator of an algebraic number field. Using this sufficient condition we are able to prove Leopoldt's conjecture for several non-Galois extensions over the rational number field Q. |
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Keywords: | Leopoldt's conjecture p-adic regulator |
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