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Rocky Mountain Journal of Mathematics
VOL. 37 · NO. 5 | 2007
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 37, no. 5, (2007)
Rocky Mountain J. Math. 37 (5), (2007) Open Access
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Articles
Generalized Prescribed Scalar Curvature Type Equation on a Compact Manifold of Negative Scalar Curvature
Mohammed Benalili, Youssef Maliki
Rocky Mountain J. Math. 37 (5), 1399-1413, (2007) DOI: 10.1216/rmjm/1194275925 Open Access
KEYWORDS: 58J05
No abstract available
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An Elementary Proof of a Theorem Concerning the Division of a Region into Two
Olga Bodroža-Pantić, Rade Doroslovački, Ksenija Doroslovački
Rocky Mountain J. Math. 37 (5), 1415-1426, (2007) DOI: 10.1216/rmjm/1194275926 Open Access
KEYWORDS: Jordan curve, neighborhood, interior, Boundary, 40D25, 40D05, 51A20
No abstract available
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On the Sum Formula for Multiple $q$-Zeta Values
David M. Bradley
Rocky Mountain J. Math. 37 (5), 1427-1434, (2007) DOI: 10.1216/rmjm/1194275927 Open Access
KEYWORDS: Multiple harmonic series, $q$-analog, multiple zeta values, $q$-series, Lambert series, 11M41, 11M06, 05A30, 33E20, 30B50
No abstract available
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$H$-Contact Unit Tangent Sphere Bundles
G. Calvaruso, D. Perrone
Rocky Mountain J. Math. 37 (5), 1435-1458, (2007) DOI: 10.1216/rmjm/1194275928 Open Access
KEYWORDS: contact metric manifolds, unit tangent sphere bundle, H-contact spaces, 53C15, 53C25, 53C35
No abstract available
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Distribution of Arithmetic Functions on Certain Subsets of Integers
J.M. De Koninck, I. KÁtai
Rocky Mountain J. Math. 37 (5), 1459-1482, (2007) DOI: 10.1216/rmjm/1194275929 Open Access
KEYWORDS: Euler function, sum of divisors, distribution of arithmetic functions, 11N37, 11N25
No abstract available
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Rational Points on Elliptic Curves $y^{2}=x^{3}+a^{3}$ in ${\bf F}_p$ where $p\equiv 1\pmod6$ is Prime
Musa Demirci, Gokhan Soydan, Ismail Naci Cangul
Rocky Mountain J. Math. 37 (5), 1483-1491, (2007) DOI: 10.1216/rmjm/1194275930 Open Access
KEYWORDS: Elliptic curves over finite fields, rational points, 11G20, 14H25, 14K15, 14G99
No abstract available
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Differentiability viaCurves in Banach Spaces Homeomorphisms
Jakub Duda, Luděk Zajíček
Rocky Mountain J. Math. 37 (5), 1493-1525, (2007) DOI: 10.1216/rmjm/1194275931 Open Access
KEYWORDS: Curves in Banach spaces, differentiable parametrizations, metrically differentiable functions, tangents, $VBG_*$ functions, 26A24, 26E20
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A Non-Commutative $n$-Nomial Formula
Carla Farsi
Rocky Mountain J. Math. 37 (5), 1527-1540, (2007) DOI: 10.1216/rmjm/1194275932 Open Access
No abstract available
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On the Number of Subsequences with Given Sum of Sequences over Finite Abelian $p$-Groups
Weidong Gao, Alfred Geroldinger
Rocky Mountain J. Math. 37 (5), 1541-1550, (2007) DOI: 10.1216/rmjm/1194275933 Open Access
No abstract available
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On an Additive Representation Associated with the $L_1$-Norm of an Exponential Sum
M.Z. Garaev
Rocky Mountain J. Math. 37 (5), 1551-1556, (2007) DOI: 10.1216/rmjm/1194275934 Open Access
KEYWORDS: exponential sums, $L^1$-norm, Diophantine equation, 11D45, 11L03
No abstract available
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Upper Bounds for Unitary Perfect Numbers and Unitary Harmonic Numbers
Takeshi Goto
Rocky Mountain J. Math. 37 (5), 1557-1576, (2007) DOI: 10.1216/rmjm/1194275935 Open Access
KEYWORDS: 11A25, 11Y70
No abstract available
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Fixed Points of Planar Homeomorphisms of the Form Identity $+$ Contraction
Grzegorz Graff, Piotr Nowak-Przygodzki
Rocky Mountain J. Math. 37 (5), 1577-1592, (2007) DOI: 10.1216/rmjm/1194275936 Open Access
KEYWORDS: Fixed points, contraction, Winding number, fixed point index, planar homeomorphisms, 37B30, 37E30, 55M25
No abstract available
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Convolution Sums of Some Functions on Divisors
Heekyoung Hahn
Rocky Mountain J. Math. 37 (5), 1593-1622, (2007) DOI: 10.1216/rmjm/1194275937 Open Access
KEYWORDS: 11A67, 33E05
No abstract available
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Crossed Products of Locally $C^{*}$-Algebras
Maria Joiţa
Rocky Mountain J. Math. 37 (5), 1623-1644, (2007) DOI: 10.1216/rmjm/1194275938 Open Access
KEYWORDS: 46L05, 46L55
No abstract available
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Global Attractors for Cross Diffusion Systems on Domains of Arbitrary Dimension
Hendrik Kuiper, Le Dung
Rocky Mountain J. Math. 37 (5), 1645-1668, (2007) DOI: 10.1216/rmjm/1194275939 Open Access
No abstract available
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Oscillation of Nonlinear Impulsive Hyperbolic Equation with Several Delays
Anping Liu, Li Xiao, Ting Liu, Min Zou
Rocky Mountain J. Math. 37 (5), 1669-1684, (2007) DOI: 10.1216/rmjm/1194275940 Open Access
KEYWORDS: impulse, Delay, hyperbolic differential equation, ‎oscillation‎, 35L10, 35R12, 35R10
No abstract available
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A Few Remarks on Mixing Properties of $C^*$-Dynamical Systems
Farrukh Mukhamedov, Seyit Temir
Rocky Mountain J. Math. 37 (5), 1685-1703, (2007) DOI: 10.1216/rmjm/1194275941 Open Access
KEYWORDS: Strictly ergodic, strictly weak mixing, ‎‎$C^*$-dynamical system, 46L35, 46L55, 46L51, 28D05 60J99
No abstract available
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$K$-Theory of Crepant Resolutions of Complex Orbifolds with $SU(2)$ Singularities
Christopher Seaton
Rocky Mountain J. Math. 37 (5), 1705-1712, (2007) DOI: 10.1216/rmjm/1194275942 Open Access
KEYWORDS: orbifold, orbifold crepant resolution, orbifold $K$-theory, 19L47
No abstract available
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Regularity of Points in the Spectrum of a $C^*$-Algebra
M.H. Shah
Rocky Mountain J. Math. 37 (5), 1713-1721, (2007) DOI: 10.1216/rmjm/1194275943 Open Access
KEYWORDS: 46L05, 46L30
No abstract available
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$K$-Theory and $K$-Homology of $C^*$-Algebras for Row-Finite Graphs
Inhyeop Yi
Rocky Mountain J. Math. 37 (5), 1723-1742, (2007) DOI: 10.1216/rmjm/1194275944 Open Access
KEYWORDS: graph, universal covering tree, fundamental transversal, $K$-group, $K$-homology, 46L80, 20E08, 19Kxx, 05C25
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A Remark for \Oscillations of Second-Order Nonlinear Partial Difference Equations"
Binggen Zhang
Rocky Mountain J. Math. 37 (5), 1743-1745, (2007) DOI: 10.1216/rmjm/1194275945 Open Access
KEYWORDS: ‎oscillation‎, partial difference equation, counter example, 39A10
No abstract available
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