A mathematical theory of origami constructions and numbers.
Alperin, Roger C. (2000)
The New York Journal of Mathematics [electronic only]
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Alperin, Roger C. (2000)
The New York Journal of Mathematics [electronic only]
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Alina Firicel (2013)
Acta Arithmetica
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We give a general upper bound for the irrationality exponent of algebraic Laurent series with coefficients in a finite field. Our proof is based on a method introduced in a different framework by Adamczewski and Cassaigne. It makes use of automata theory and, in our context, of a classical theorem due to Christol. We then introduce a new approach which allows us to strongly improve this general bound in many cases. As an illustration, we give a few examples of algebraic Laurent series...
Tasoev, B.G. (2001)
Vladikavkazskiĭ Matematicheskiĭ Zhurnal
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Serge Lang (1965)
Bulletin de la Société Mathématique de France
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C. Lloyd-Smith (1985)
Acta Arithmetica
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Enrico Bombieri (2009)
Journal de Théorie des Nombres de Bordeaux
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This is a survey paper on the distribution of algebraic points on algebraic varieties.
Tatiana Lavrinenko (2002)
Revue d'histoire des mathématiques
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This article concerns the problem of solving diophantine equations in rational numbers. It traces the way in which the 19th century broke from the centuries-old tradition of the purely algebraic treatment of this problem. Special attention is paid to Sylvester’s work “On Certain Ternary Cubic-Form Equations” (1879–1880), in which the algebraico-geometrical approach was applied to the study of an indeterminate equation of third degree.
F. S. Cater (2002)
Czechoslovak Mathematical Journal
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In this note we study fields with the property that the simple transcendental extension of is isomorphic to some subfield of but not isomorphic to . Such a field provides one type of solution of the Schröder-Bernstein problem for fields.
Bekbaev, Ural (2005)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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