A generalization of Dirichlet's unit theorem |
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| Authors: | Jih-Min Shyr |
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| Institution: | 1. School of Mathematics, Institute of Advanced Studies, Princeton, New Jersey 08540 USA;2. Department of Mathematics, The Johns Hopkins University, Baltimore, Maryland 21218 USA |
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| Abstract: | In this paper, we obtain a unit theorem for algebraic tori defined over an algebraic number field, which generalizes Dirichlet's unit theorem as well as the S-unit theorem due to Hasse and Chevalley. |
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