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VIDEO LIBRARY |
International conference on Analytic Number Theory dedicated to 75th anniversary of G. I. Arkhipov and S. M. Voronin
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Functional continued fractions with large period lengths G.V. Fedorovab a Scientific Research Institute for System Studies of RAS, Moscow b Lomonosov Moscow State University, Faculty of Mechanics and Mathematics |
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Abstract: The problem of periodicity of functional continued fractions of elements of a hyperelliptic field is closely related to the problem of finding and constructing the fundamental Over the past 20 years, the theory of functional continued fractions has become a powerful arithmetic tool for investigating these problems. With the development of new methods in the theory of functional continued fractions, some classical problems acquired new aspects. In this regard, of particular interest are the results that differ significantly from the traditional case of numeric continued fractions. One of these results is raised by the problem of bounding for the period lengths of functional continued fractions of elements of a hyperelliptic field. The talk is dedicated to upper bounds for the period lengths of key elements of hyperelliptic fields over number fields. In the case when the hyperelliptic field is determined by a polynomial of odd degree, the finite length of the period is trivially estimated by twice the degree of the fundamental * Conference identificator: 947 3270 9056 Password: 555834 |