Results 11 to 20 of about 1,674,574 (315)
Salem Numbers and the Spectrum of Hyperbolic Surfaces [PDF]
International Mathematics Research Notices, 2018 We give a reformulation of Salem's conjecture about the absence of Salem numbers near one in terms of a uniform spectral gap for certain arithmetic hyperbolic surfaces.
Emmanuel Breuillard, Bertrand Deroin
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Representations of Clifford algebras with hyperbolic numbers [PDF]
Advances in Applied Clifford Algebras, 2007 The representations of Clifford algebras and their involutions and anti-involutions are fully investigated since decades. However, these representations do sometimes not comply with usual conventions within physics.
Ulrych, S.
core +5 more sources
A Study on Dual Hyperbolic Fibonacci and Lucas Numbers
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 In this study, the dual-hyperbolic Fibonacci and dual-hyperbolic Lucas numbers are introduced. Then, the fundamental identities are proven for these numbers.
Cihan Arzu +3 more
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Properties of hyperbolic generalized Pell numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2020 In this paper, we introduce the generalized hyperbolic Pell numbers over the bidimensional Clifford algebra of hyperbolic numbers. As special cases, we deal with hyperbolic Pell and hyperbolic Pell–Lucas numbers.
Yüksel Soykan, Melih Göcen
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Kissing numbers of closed hyperbolic manifolds [PDF]
American Journal of Mathematics, 2019 :We prove an upper bound for the number of shortest closed geodesics in a closed hyperbolic manifold of any dimension in terms of its volume and systole, generalizing a theorem of Parlier for surfaces.
Maxime Fortier Bourque, Bram Petri
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Hyperbolic numbers as Einstein numbers
Journal of Physics: Conference Series, 2020 In the special theory of relativity (SR) it is usual to highlight so-called paradoxes. One of these paradoxes is the formal appearance of speed values grater then the light speed.
D. Kulyabov +2 more
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On Hyperbolic Numbers With Generalized Fibonacci Numbers Components
Communications in Mathematics and Applications, 2021 . In this paper, we introduce the generalized hyperbolic Fibonacci numbers over the bidimensional Clifford algebra of hyperbolic numbers. As special cases, we deal with hyperbolic Fibonacci and hyperbolic Lucas numbers.
Y. Soykan
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Two Generalizations of Dual-Hyperbolic Balancing Numbers [PDF]
Symmetry, 2020 In this paper, we study two generalizations of dual-hyperbolic balancing numbers: dual-hyperbolic Horadam numbers and dual-hyperbolic k-balancing numbers. We give Catalan’s identity, Cassini’s identity, and d’Ocagne’s identity for them.
Dorota Bród +2 more
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The Squeeze Principle of the Sequence of Hyperbolic Numbers [PDF]
Transactions on Computational and Applied Mathematics: The hyperbolic numbers have an analogous composition with the complex numbers, which are composed by two real numbers, generating an exchangeable ring. That is to mean, the hyperbolic numbers can be viewed as the generalization of real numbers. In this
Bingyi Lyu, Hengcheng Zhao
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Asian Research Journal of Mathematics, 2019 In this paper, we introduce the Hyperbolic Jacobsthal numbers and we present recurrence relations, Binet's formulas, generating functions and the summation formulas for these numbers.
C. M. Dikmen
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