Continued fractions and Brjuno functions
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Pierre Moussa; Andrea Cassa; Stefano Marmi
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Article
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1999
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Elsevier Science
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English
β 131 KB
For 06 61 given, we consider the modiΓΏed continued fraction expansion of the real number x deΓΏned by x = a0 + 0x0; a0 β Z, and, x -1 n-1 = an + nx n; an β N for nΒΏ0, where -16 nx nΒ‘ ; n = Β±1, for nΒΏ0, with xnΒΏ0. The usual (Gaussian) case is = 1, whereas = 1 2 is the continued fraction to the nearest