Results 31 to 40 of about 78 (60)
Continued fractions and linear recurrences
, 1993 H. Lenstra, J. Shallit
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Characterization of pure Hurwitz numbers
, 2021We explore the nature of the continued fraction expansion of the Hurwitz numbers H = (ae2/n + b)/(ce2/n + d), with D = |ad− bc| 6 = 0. We prove some results for determinant pk with p a prime number.
J. Rodriguez, V. Bautista-Ancona
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Irrationality exponents of certain fast converging series of rational numbers
, 2020Let {xn} be a sequence of rational numbers greater than one such that xn+1 ≥ xn for all sufficiently large n and let εn ∈ {−1, 1}. Under certain growth conditions on the denominators of xn+1/x 2 n we prove that the irrationality exponent of the number ∑∞
D. Duverney, T. Kurosawa, I. Shiokawa
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Recurrence Relations for Elliptic Sequences: Every Somos 4 is a Somos k
, 2004In his celebrated memoir, Morgan Ward's definition of elliptic divisibility sequences has the remarkable feature that it does not become at all clear until deep into the paper that there exist nontrivial examples of such sequences.
A. J. Van Der Poorten, Christine Swart
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Analyse de complexité pour un théorème de Hall sur les fractions continues
Mathematical Logic Quarterly, 1996Salah-Eddine Labhalla, H. Lombardi
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On the Lengths of the Periods of the Continued Fractions of Square-Roots of Integers
, 1990A. Rockett, P. Szüsz
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Geometrically Markov Geodesics on the Modular Surface
, 2005S. Katok, Ilie Ugarcovici
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