Results 11 to 20 of about 78 (60)

Foias Numbers

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
doaj   +1 more source

Certain identities associated with Eisenstein series, Ramanujan-Gollnitz-Gordon continued fraction and combinatorial partition identities

, 2016
The objective of this paper is to establish five (presumably) new identities which depict interrelationships between Eisenstein series identities, Ramanujan-Göllnitz-Gordon continued fraction and combinatorial partition identities by using some easily ...
M. Chaudhary, Junesang Choi
semanticscholar   +1 more source

On a Zaremba’s Conjecture for Powers

Sarajevo Journal of Mathematics
A conjecture of Zaremba says that for every $m\ge 2$ there exists a reduced fraction $a/m$ such that its simple continued fraction has all its partial quotients bounded by $5$.
Takao Komatsu
semanticscholar   +1 more source

More on Hurwitz and Tasoev Continued Fractions

Sarajevo Journal of Mathematics
Several new types of Hurwitz continued fractions have been studied. Most basic Hurwitz continued fractions can be expressed by using confluent hypergeometric functions ${}_0F_1(;c;z)$.
Takao Komatsu
semanticscholar   +1 more source

A continued fraction for second order Mock theta functions

, 2015
Copyright c © 2015 S. Ahmad Ali. This article is distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
S. A. Ali
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Equality cases of the Alexandrov–Fenchel inequality are not in the polynomial hierarchy

Forum of Mathematics, Pi
Describing 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
doaj   +1 more source

Two Identities of Ramanujan’s Cubic Continued Fraction by Modular Equations

, 2013
In this paper, we establish two identities providing the relations between Ramanujan’s cubic continued fraction G(q) := q1/3 1 + q + q2 1 + q2 + q4 1 +... , |q| < 1 and two continued fractions G(q11) and G(q13).
B. R. S. Kumar, T. G. Sreeramamurthy
semanticscholar   +1 more source

A security analysis of two classes of RSA-like cryptosystems

Journal of Mathematical Cryptology
Let 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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Some new identities for continued fraction of order six

, 2013
In this paper, we establish some new modular relations between a continued fraction of order six U(q) and U(q) for n=6, 10, 14, 22.
B. Dharmendra, M. Kanna, R. Jagadeesh, S. Kumar   +3 more
semanticscholar   +1 more source

Class Number Two for Real Quadratic Fields of Richaud-Degert Type [PDF]

, 2009
2000 Mathematics Subject Classification: Primary: 11D09, 11A55, 11C08, 11R11, 11R29; Secondary: 11R65, 11S40; 11R09.This paper contains proofs of conjectures made in [16] on class number 2 and what this author has dubbed the Euler-Rabinowitsch polynomial
Mollin, R. A.
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