Results 1 to 10 of about 41 (39)
Continued fractions related to a group of linear fractional transformations
Open Mathematics, 2023 There are strong relations between the theory of continued fractions and groups of linear fractional transformations. We consider the group G3,3{G}_{3,3} generated by the linear fractional transformations a=1−1∕za=1-1/z and b=z+2b=z+2.
Demir Bilal
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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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Diophantine approximations and almost periodic functions
Demonstratio Mathematica, 2017 In this paper we investigate the asymptotic behaviour of the classical continuous and unbounded almost periodic function in the Lebesgue measure.Using diophantine approximations we show that this function can be estimated by functions of polynomial type ...
Nawrocki Adam
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Continued fractions and class number two
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 9, Page 565-571, 2001., 2001 We use the theory of continued fractions in conjunction with ideal theory (often called the infrastructure) in real quadratic fields to give new class number 2 criteria and link this to a canonical norm‐induced quadratic polynomial. By doing so, this provides a real quadratic field analogue of the well‐known result by Hendy (1974) for complex quadratic
Richard A. Mollin
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 The Foias constant, a true mathematical gem, is generalized to a host of similar numbers. As is the case with all significant mathematics it is the underlying method, due to Foias, that matters.
Anghel Nicolae
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Equality cases of the Alexandrov–Fenchel inequality are not in the polynomial hierarchy
Forum of Mathematics, PiDescribing the equality conditions of the Alexandrov–Fenchel inequality [Ale37] has been a major open problem for decades. We prove that in the case of convex polytopes, this description is not in the polynomial hierarchy unless the polynomial hierarchy ...
Swee Hong Chan, Igor Pak
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A security analysis of two classes of RSA-like cryptosystems
Journal of Mathematical CryptologyLet N=pqN=pq be the product of two balanced prime numbers pp and qq. In Elkamchouchi et al. (Extended RSA cryptosystem and digital signature schemes in the domain of Gaussian integers. In: ICCS 2002. vol. 1. IEEE Computer Society; 2002. p.
Cotan Paul, Teşeleanu George
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Bias in the number of steps in the Euclidean algorithm and a conjecture of Ito on Dedekind sums. [PDF]
Math Ann, 2023 Minelli P, Sourmelidis A, Technau M.
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Racial and Socioeconomic Disparities in Cardiovascular Outcomes of Preeclampsia Hospitalizations in the United States 2004-2019. [PDF]
JACC Adv, 2022 Zahid S +10 more
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