Flat Power Series over a Finite Field |
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| Authors: | A LasjauniasJ-J Ruch |
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| Institution: | a C.N.R.S. - UMR 5465, Université Bordeaux I, 33405, Talence, Francef1lasjauni@math.u-bordeaux.frf1b Laboratoire A2X, Université Bordeaux I, 33405, Talence, Francef2ruch@math.u-bordeaux.frf2 |
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| Abstract: | We define and describe a class of algebraic continued fractions for power series over a finite field. These continued fraction expansions, for which all the partial quotients are polynomials of degree one, have a regular pattern induced by the Frobenius homomorphism.This is an extension, in the case of positive characteristic, of purely periodic expansions corresponding to quadratic power series. |
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| Keywords: | fields of power series finite fields continued fractions |
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