Volume 43 Issue 3 | Rocky Mountain Journal of Mathematics

Rocky Mountain Journal of Mathematics

VOL. 43 · NO. 3 | 2013

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Front Matter

Table of Contents, Rocky Mountain Journal of Mathematics, vol. 43, no. 3, (2013)

Rocky Mountain J. Math. 43 (3), (2013)

No abstract available

Articles

On Haar bases for generalized dyadic Hardy spaces

Hugo Aimar, Ana Bernardis, Luis Nowak

Rocky Mountain J. Math. 43 (3), 697-712, (2013) DOI: 10.1216/RMJ-2013-43-3-697

KEYWORDS: Haar basis, unconditional basis, Hardy and Lebesgue spaces, spaces of homogeneous type, 42C15, 42B20, 28C15

No abstract available

On the distributions of $\sigma(n)/n$ and $n/\varphi(n)$

Emre Alkan

Rocky Mountain J. Math. 43 (3), 713-736, (2013) DOI: 10.1216/RMJ-2013-43-3-713

KEYWORDS: distributions, Density, sum of divisors function, Euler's totient function, arithmetic progressions, l -free integers, 11N25, 11N60

No abstract available

Jones's polynomial for links in the handlebody

Khaled Bataineh, Mustafa Hajij

Rocky Mountain J. Math. 43 (3), 737-753, (2013) DOI: 10.1216/RMJ-2013-43-3-737

KEYWORDS: knots and links, Jones's polynomial, Kauffman's bracket polynomial, handlebody

No abstract available

The completion of Euler's factoring formula

Richard Blecksmith, John Brillhart, Michael Decaro

Rocky Mountain J. Math. 43 (3), 755-762, (2013) DOI: 10.1216/RMJ-2013-43-3-755

No abstract available

Equal sums of like powers and equal products of integers

Ajai Choudhry

Rocky Mountain J. Math. 43 (3), 763-792, (2013) DOI: 10.1216/RMJ-2013-43-3-763

KEYWORDS: Equal sums of powers, equal products, 11D41, 11D72

No abstract available

Existence of pseudo almost automorphic mild solutions to some nonautonomous second order differential equations

Toka Diagana

Rocky Mountain J. Math. 43 (3), 793-824, (2013) DOI: 10.1216/RMJ-2013-43-3-793

KEYWORDS: Evolution family, Schauder fixed point, AcquistapaceTerreni conditions, Exponential stability, nonautonomous differential equations, second-order differential equation, compact almost automorphic, pseudo-almost automorphic, Sine-Gordon, 34B05, 34C27, 35L90, 42A75, 43A60, 47D06

No abstract available

A universal survival ring of continuous functions which is not a universal lying-over ring

David E. Dobbs, Ronald Levy, Jay Shapiro

Rocky Mountain J. Math. 43 (3), 825-854, (2013) DOI: 10.1216/RMJ-2013-43-3-825

KEYWORDS: Universal survival ring, lying-over, ring of continuous functions, prime ideal, ring extension, Ultrafilter, Krull dimension, divided domain, Continuum hypothesis, one-point compactification, 13B99, 13A15, 54C35‎, 13F05, 54D35

No abstract available

Spectral properties of the simple layer potential type operators

Milutin R. Dostanić

Rocky Mountain J. Math. 43 (3), 855-875, (2013) DOI: 10.1216/RMJ-2013-43-3-855

KEYWORDS: Simple layer potential, asymptotics of singular values, 47B06, 31A10

No abstract available

On the solutions of difference equations of order four

H. El-Metwally, E.M. Elsayed, E.M. Elabbasy

Rocky Mountain J. Math. 43 (3), 877-894, (2013) DOI: 10.1216/RMJ-2013-43-3-877

KEYWORDS: periodicity, boundedness, solution of difference equations, 39A10

No abstract available

On Borel summability and analytic functionals

Ricardo Estrada, Jasson Vindas

Rocky Mountain J. Math. 43 (3), 895-903, (2013) DOI: 10.1216/RMJ-2013-43-3-895

KEYWORDS: analytic functionals, Borel summability, entire functions of exponential type, Borel polygon, Silva tempered ultradistributions, 30D15, 40G10, 46F15

No abstract available

Finite direct sums controlled by finitely many permutations

Nicola Girardi

Rocky Mountain J. Math. 43 (3), 905-929, (2013) DOI: 10.1216/RMJ-2013-43-3-905

KEYWORDS: Krull-Schmidt Theorem, Endomorphism ring, direct-sum decomposition, 16D70, 16D90, 16L30

No abstract available

A $q$-analogue of modified beta operators

Vijay Gupta, P.N. Agrawal, Durvesh Kumar Verma

Rocky Mountain J. Math. 43 (3), 931-947, (2013) DOI: 10.1216/RMJ-2013-43-3-931

KEYWORDS: Beta operators, q -integers, q -beta function, modulus of continuity, 41A25, 41A30

No abstract available

Positive and negative results for Einstein metrics on quotient manifolds of $S^3 \times S^5$

Lydia Kennedy

Rocky Mountain J. Math. 43 (3), 949-974, (2013) DOI: 10.1216/RMJ-2013-43-3-949

KEYWORDS: Einstein metric, Riemannian submersion, EinsteinWitten manifolds

No abstract available

Some double binomial sums related with the Fibonacci, Pell and generalized order-$k$ Fibonacci numbers

Emrah Kılıç, Helmut Prodinger

Rocky Mountain J. Math. 43 (3), 975-987, (2013) DOI: 10.1216/RMJ-2013-43-3-975

KEYWORDS: Fibonacci numbers, generating functions, LagrangeBürmann formula, 05C38, 15A15, 05A15, 15A18‎

No abstract available

Non-commuting pairs of symmetries of Riemann surfaces

Ewa Kozowska-Walania

Rocky Mountain J. Math. 43 (3), 989-1014, (2013) DOI: 10.1216/RMJ-2013-43-3-989

KEYWORDS: Riemann surface, symmetry of Riemann surface, oval of a symmetry of a Riemann surface, 30F50, 14H37

No abstract available

On continuity and compactness of some vector-valued integrals

K.M. Naralenkov

Rocky Mountain J. Math. 43 (3), 1015-1022, (2013) DOI: 10.1216/RMJ-2013-43-3-1015

KEYWORDS: Henstock-Kurzweil-Pettis integral, Denjoy-Pettis integral, McShane-Pettis integral, Schur property, 26A39, 28B05, 46G10

No abstract available

Formal groups of ${\bf Q}$-curves with complex multiplication

Fumio Sairaiji

Rocky Mountain J. Math. 43 (3), 1023-1036, (2013) DOI: 10.1216/RMJ-2013-43-3-1023

No abstract available

Exponential synchronization of delayed reaction-diffusion neural networks with general boundary conditions

Ping Yan, Teng Lv

Rocky Mountain J. Math. 43 (3), 1037-1057, (2013) DOI: 10.1216/RMJ-2013-43-3-1037

KEYWORDS: Exponential synchronization, delayed neural networks, general boundary condition, Lyapunov functional

No abstract available

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