Results 11 to 20 of about 130,314 (163)
Continued $\mathbf{A_2}$-fractions and singular functions
Математичні Студії, 2022 In the article we deepen the metric component of theory of infinite $A_2$-continued fractions $[0;a_1,a_2,...,a_n,...]$ with a two-element alphabet $A_2=\{\frac12,1\}$, $a_n\in A_2$ and establish the normal property of numbers of the segment $I=[\frac12 ...
M.V. Pratsiovytyi +3 more
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Continued fractions for some transcendental numbers [PDF]
, 2015 We consider series of the form $p/q + \sum_{j=2}^\infty 1/x_j$, where $x_1=q$ and the integer sequence $x_n$ satisfies a certain non-autonomous recurrence of second order, which entails that $x_n|x_{n+1}$ for n?1.
Andrew N. W. Hone, Hone, Andrew N.W.
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ON SMARANDACHE GENERAL CONTINUED FRACTIONS [PDF]
, 1995 The continued fraction is called a Smarandache general continued fraction associated with A and ...
Maohua, Le
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ON SMARANDACHE SIMPLE CONTINUED FRACTIONS [PDF]
, 1999 Starting with a Smarandache type sequence, showing that if A is a positive integer sequence, then the simple continued fraction is ...
Ashbacher, Charles, Le, Maohua
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A geometric generalization of continued fractions for imaginary quadratic fields [PDF]
, 2021 The Euclidean Algorithm for the integers is well known and yields a finite continued fraction expansion for each rational number. Geometrically, successive convergents in this expansion correspond to endpoints of edges in the Farey tessellation of the ...
Scheckelhoff, Kristen +1 more
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Location of approximations of a Markoff theorem
International Journal of Mathematics and Mathematical Sciences, 1990 Relative to the first two theorems of the well known Markoff Chain (J.W.S. Cassels, An introduction to diophantine approximation approximations are well located.
K. C. Prasad, M. Lari, P. Singh
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On generalization of continued fraction of Gauss
International Journal of Mathematics and Mathematical Sciences, 1990 In this paper we establish a continued fraction represetation for the ratio qf two basic bilateral hypergeometric series 2ψ2's which generalize Gauss' continued fraction for the ratio of two 2F1's.
Remy Y. Denis
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Hurwitz continued fractions with confluent hypergeometric functions [PDF]
, 2007 summary:Many new types of Hurwitz continued fractions have been studied by the author. In this paper we show that all of these closed forms can be expressed by using confluent hypergeometric functions ${}_0F_1(;c;z)$. In the application we study some new
Komatsu, Takao
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The discrete logarithm problem modulo one: cryptanalysing the Ariffin–Abu cryptosystem
Journal of Mathematical Cryptology, 2010 The paper provides a cryptanalysis of the AAβ-cryptosystem recently proposed by Ariffin and Abu. The scheme is in essence a key agreement scheme whose security is based on a discrete logarithm problem in the infinite (additive) group ℝ/ℤ (the reals ...
Blackburn Simon R.
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$q$-DEFORMED RATIONALS AND $q$-CONTINUED FRACTIONS
Forum of Mathematics, Sigma, 2020 We introduce a notion of $q$-deformed rational numbers and $q$-deformed continued fractions. A $q$-deformed rational is encoded by a triangulation of a polygon and can be computed recursively. The recursive formula is analogous to the $q$-deformed Pascal
SOPHIE MORIER-GENOUD, VALENTIN OVSIENKO
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