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Some remarks on Leopoldt's conjecture

✍ Scribed by Tsutomu Shimada

Book ID
110558164
Publisher
Springer
Year
1992
Tongue
English
Weight
396 KB
Volume
77
Category
Article
ISSN
0025-2611

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πŸ“œ SIMILAR VOLUMES

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Schanuel's Conjecture is the statement: if x1; : : : ; xn ∈ C are linearly independent over Q, then the transcendence degree of Q(x1; : : : ; xn; exp(x1); : : : ; exp(xn)) over Q is at least n. Here we prove that this is true if instead we take inÿnitesimal elements from any ultrapower of C, and in

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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 numb

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In studying Leopoldt's conjecture for Galois number fields a sufficient condition is proposed which includes the known criteria and moreover refers only to the character table of the Galois group in question. Hence it may easily be checked. Tables of the computations are given. New examples, if only