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Autor Corrales Rodrigáñez, Carmen |
Documentos disponibles escritos por este autor (34)
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Let K be a complete and algebraically closed non-Archimedean valued field. Following ideas of Marc Krasner and Philippe Robba, the author defines K-entire and K-meromorphic functions from K to K, and extends the definitions of Nevanlinna theory [...]![]()
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It is known [J. F. Ritt, Trans. Am. Math. Soc. 23, 51-66 (1922; JFM 48.0079.01), H. T. Engstrom, Am. J. Math. 63, 249–255 (1941; Zbl 0025.10403), H.Levi, ibid. 64, 389–400 (1942; Zbl 0063.03512), F. Dorey and G. Whaples, J. Algebra 28, 88-101 (1[...]![]()
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This is an expository article on p-adic fields. It contains a historical introduction and a construction of the p-adic number field by completion for the p-adic distance overQ. The paper concludes with the Hasse-Minkowski theorem for quadratic f[...]![]()
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We give an algorithm to determine a finite set of generators of the unit group of an order in a non-split classical quaternion algebra H(K) over an imaginary quadratic extension K of the rationals. We then apply this method to obtain a presentat[...]![]()
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Unit groups of orders in quaternion algebras over number fields provide important examples of non-commutative arithmetic groups. Let K = Q(d ) be a quadratic field with d