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Rocky Mountain Journal of Mathematics
VOL. 37 · NO. 2 | 2007
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 37, no. 2, (2007)
Rocky Mountain J. Math. 37 (2), (2007) Open Access
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Articles
Convergence by Nondiscrete Mathematical Induction of a Two Step Secant's Method
S. Amat, C. Bermúdez, S. Busquier, J. Gretay
Rocky Mountain J. Math. 37 (2), 359-369, (2007) DOI: 10.1216/rmjm/1181068756 Open Access
KEYWORDS: nonlinear equations, iterative methods, nondiscrete mathematical induction, semi-local convergence, 65F15, 47H17, 49D15
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Topological Transitivity and Mixing Notions for Group Actions
Grant Cairns, Alla Kolganova, Anthony Nielsen
Rocky Mountain J. Math. 37 (2), 371-397, (2007) DOI: 10.1216/rmjm/1181068757 Open Access
KEYWORDS: group action, Mixing, topological transitivity
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Tiling the Unit Square with 5 Rational Triangles
Garikai Campbell, James Brady, Arvind Nair
Rocky Mountain J. Math. 37 (2), 399-418, (2007) DOI: 10.1216/rmjm/1181068758 Open Access
KEYWORDS: rational triangles, Elliptic curves, 11G05
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Nonoscillatory Criteria for Second-Order Nonlinear Difference Equations
Jiqin Deng
Rocky Mountain J. Math. 37 (2), 419-428, (2007) DOI: 10.1216/rmjm/1181068759 Open Access
KEYWORDS: Nonoscillatory solution, nonlinear term, condensing operators, 34C10
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On Differences of Two Squares in Some Quadratic Fields
Andrej Dujella, Zrinka Franušić
Rocky Mountain J. Math. 37 (2), 429-453, (2007) DOI: 10.1216/rmjm/1181068760 Open Access
KEYWORDS: Difference of squares, quadratic fields, Pellian equations, 11D09, 11E25, 11R11
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On the Irreducibility of a Truncated Binomial Expansion
Michael Filaseta, Angel Kumchev, Dmitrii V. Pasechnik
Rocky Mountain J. Math. 37 (2), 455-464, (2007) DOI: 10.1216/rmjm/1181068761 Open Access
KEYWORDS: 12E05, 11C08, 11R09, 14M15, 26C10
No abstract available
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Generic Subideals of Graph Ideals and Free Resolutions
Leah Gold
Rocky Mountain J. Math. 37 (2), 465-496, (2007) DOI: 10.1216/rmjm/1181068762 Open Access
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Equal Sums of Sixth Powers and Quadratic Line Complexes
Masato Kuwata
Rocky Mountain J. Math. 37 (2), 497-515, (2007) DOI: 10.1216/rmjm/1181068763 Open Access
KEYWORDS: 14J28, 11D41
No abstract available
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Inversive Difference Modules and Solvability of Systems of Linear Difference Equations
Alexander B. Levin
Rocky Mountain J. Math. 37 (2), 519-532, (2007) DOI: 10.1216/rmjm/1181068764 Open Access
KEYWORDS: Inversive difference rings, fields and modules, difference homomorphism, functors, exact sequences, 12H10, 13D07
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A Generalized Hawkins Sieve and Prime $K$-tuplets
John Lorch
Rocky Mountain J. Math. 37 (2), 533-550, (2007) DOI: 10.1216/rmjm/1181068765 Open Access
KEYWORDS: 11B05, 11N05, 60F15, 60G35
No abstract available
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Derivative Relationships between Volume and Surface Area of Compact Regions in ${\bf R}^d$
Jean-Luc Marichal, Michael Dorff
Rocky Mountain J. Math. 37 (2), 551-571, (2007) DOI: 10.1216/rmjm/1181068766 Open Access
KEYWORDS: 51M25, 52A38, 26A24, 52B60
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A Note on the Existence of Shape-Preserving Projections
D. Mupasiri, M.P. Prophet
Rocky Mountain J. Math. 37 (2), 573-585, (2007) DOI: 10.1216/rmjm/1181068767 Open Access
KEYWORDS: 54B20, 54F15
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Algebraic Vector Bundles on $SL(3,{\bf C})$
Kazunori Nakamoto, Takeshi Torii
Rocky Mountain J. Math. 37 (2), 587-596, (2007) DOI: 10.1216/rmjm/1181068768 Open Access
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A Metric Characterization of Normed Linear Spaces
Timur Oikhberg, Haskell Rosenthal
Rocky Mountain J. Math. 37 (2), 597-608, (2007) DOI: 10.1216/rmjm/1181068769 Open Access
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Elliptic Fibrations of Some Extremal $K3$ Surfaces
Matthias Schütt
Rocky Mountain J. Math. 37 (2), 609-652, (2007) DOI: 10.1216/rmjm/1181068770 Open Access
KEYWORDS: 14J27, 14J28
No abstract available
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Basic Functional Equations of the Rogers-Ramanujan Functions
Seung H. Son
Rocky Mountain J. Math. 37 (2), 653-662, (2007) DOI: 10.1216/rmjm/1181068771 Open Access
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Explicit Equations of Some Elliptic Modular Surfaces
Jaap Top, Noriko Yui
Rocky Mountain J. Math. 37 (2), 663-687, (2007) DOI: 10.1216/rmjm/1181068772 Open Access
KEYWORDS: Genus zero congruence subgroups, elliptic modular surfaces, surfaces of general type, cusp widths, semi-stable elliptic surface, 14J27, 14J29
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Exact Structure of Positive Solutions for a $P$-Laplacian Problem Involving Singular and Superlinear Nonlinearities
Shin-Hwa Wang, Tzung-Shin Yeh
Rocky Mountain J. Math. 37 (2), 689-708, (2007) DOI: 10.1216/rmjm/1181068773 Open Access
KEYWORDS: Exact multiplicity, structure, bifurcation, $p$-Laplacian, singular nonlinearity, superlinear nonlinearity, time map, 34B15, 74G35
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