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Rocky Mountain Journal of Mathematics
VOL. 43 · NO. 1 | 2013
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 43, no. 1, (2013)
Rocky Mountain J. Math. 43 (1), (2013) Open Access
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Articles
Survey Article: Graphical representations of factorizations in commutative rings
M. Axtell, N. Baeth, J. Stickles
Rocky Mountain J. Math. 43 (1), 1-36, (2013) DOI: 10.1216/RMJ-2013-43-1-1 Open Access
KEYWORDS: integral domain, factorization, irreducible divisor graph
No abstract available
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Expository Article: Young person's guide to translation surfaces of genus two: McMullen's connected sum theorem
Andrew Bouwman, Jaroslaw Kwapisz
Rocky Mountain J. Math. 43 (1), 37-53, (2013) DOI: 10.1216/RMJ-2013-43-1-37 Open Access
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Genus two curves with everywhere twisted good reduction
Houria Baaziz, John Boxall
Rocky Mountain J. Math. 43 (1), 55-73, (2013) DOI: 10.1216/RMJ-2013-43-1-55 Open Access
KEYWORDS: genus two curves, Elliptic curves, everywhere good reduction, 11G05, 11G30
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The decomposition of triangular numbers
Deyi Chen, Tianxin Cai
Rocky Mountain J. Math. 43 (1), 75-81, (2013) DOI: 10.1216/RMJ-2013-43-1-75 Open Access
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On the signature of a class of congruence subgroups
C.J. Cummins, N.S. Haghighi
Rocky Mountain J. Math. 43 (1), 83-122, (2013) DOI: 10.1216/RMJ-2013-43-1-83 Open Access
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$m$-Isometric weighted shifts and reflexivity of some operators
M. Faghih-Ahmadi, K. Hedayatian
Rocky Mountain J. Math. 43 (1), 123-133, (2013) DOI: 10.1216/RMJ-2013-43-1-123 Open Access
KEYWORDS: Reflexive operator, contraction, $m$-isometry, unilateral weighted shift, ‎hyponormal operator, von Neumann operator, 47B37
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A Cohen type inequality for Gegenbauer-Sobolev expansions
Bujar Xh. Fejzullahu, Francisco Marcellán
Rocky Mountain J. Math. 43 (1), 135-148, (2013) DOI: 10.1216/RMJ-2013-43-1-135 Open Access
KEYWORDS: Gegenbauer-Sobolev polynomials, orthogonal expansions, Cohen type inequality, 42C05, 42C10
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Arguments of zeros of highly log concave polynomials
David Handelman
Rocky Mountain J. Math. 43 (1), 149-177, (2013) DOI: 10.1216/RMJ-2013-43-1-149 Open Access
KEYWORDS: 26C10, 30C15, 05E99
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Bounded representation and radial projections of bisectors in normed spaces
Á.G. Horváth, H. Martini
Rocky Mountain J. Math. 43 (1), 179-191, (2013) DOI: 10.1216/RMJ-2013-43-1-179 Open Access
KEYWORDS: Bisector, bounded representation, Minkowski space, normed space, radial projection, shadow boundary, topological manifold, 46B20, 51M05, 52A21, 57N16
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On Poonen's conjecture concerning rational preperiodic points of quadratic maps
Benjamin Hutz, Patrick Ingram
Rocky Mountain J. Math. 43 (1), 193-204, (2013) DOI: 10.1216/RMJ-2013-43-1-193 Open Access
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Positive solutions of an $n$th order three-point boundary value problem
Ilkay Yaslan Karaca
Rocky Mountain J. Math. 43 (1), 205-224, (2013) DOI: 10.1216/RMJ-2013-43-1-205 Open Access
KEYWORDS: ‎positive‎ ‎solutions, fixed point theorem in cones, 34B15
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Another definition of an Euler class group of a Noetherian ring
Manoj K. Keshari, Satya Mandal
Rocky Mountain J. Math. 43 (1), 225-240, (2013) DOI: 10.1216/RMJ-2013-43-1-225 Open Access
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The Corona theorem for multiplier algebras on weighted Dirichlet spaces
B. Kidane, T.T. Trent
Rocky Mountain J. Math. 43 (1), 241-271, (2013) DOI: 10.1216/RMJ-2013-43-1-241 Open Access
KEYWORDS: corona Theorem, Weighted Dirichlet space, commutant lifting theorem, ‎30H05, 46E22, ‎46J15
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On limits of sequences of holomorphic functions
Steven G. Krantz
Rocky Mountain J. Math. 43 (1), 273-283, (2013) DOI: 10.1216/RMJ-2013-43-1-273 Open Access
KEYWORDS: holomorphic function, pointwise limit, uniform limit, elliptic equations, 30B60, 30E10, 30E99, 32A30, 32A99
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On an application of Poincaré series
Tzu-Chun Lin
Rocky Mountain J. Math. 43 (1), 285-289, (2013) DOI: 10.1216/RMJ-2013-43-1-285 Open Access
KEYWORDS: invariant theory, complete intersection, Grothendieck group, regular representation, 13A50, 16E20
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Transformation formulas for the generalized hypergeometric function with integral parameter differences
A.R. Miller, R.B. Paris
Rocky Mountain J. Math. 43 (1), 291-327, (2013) DOI: 10.1216/RMJ-2013-43-1-291 Open Access
KEYWORDS: generalized hypergeometric function, Euler transformation, Kummer transformation, quadratic transformations, summation theorem, zeros of entire functions, 33C15, 33C20
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A note on symmetry in the vanishing of Ext
Saeed Nasseh, Massoud Tousi
Rocky Mountain J. Math. 43 (1), 329-341, (2013) DOI: 10.1216/RMJ-2013-43-1-329 Open Access
KEYWORDS: complete intersection ring, complete module, Gorenstein ring, 13H10, 13D07, 13D02
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$L^2$-Inverse spectral problems for diffusive logistic equations of population dynamics
T. Shibata
Rocky Mountain J. Math. 43 (1), 343-359, (2013) DOI: 10.1216/RMJ-2013-43-1-343 Open Access
KEYWORDS: Inverse spectral, bifurcation diagram, logistic equations, 34B15
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On some exponential sums with exponential and rational functions
Igor E. Shparlinski
Rocky Mountain J. Math. 43 (1), 361-371, (2013) DOI: 10.1216/RMJ-2013-43-1-361 Open Access
KEYWORDS: exponential sums, uniform distribution, 11L07, 11T23
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Some criteria for $C_p(X)$ to be an $L\Sigma(\le\o)$-space
V.V. Tkachuk
Rocky Mountain J. Math. 43 (1), 373-384, (2013) DOI: 10.1216/RMJ-2013-43-1-373 Open Access
KEYWORDS: Lindelöf $\Sigma$-space, $L\Sigma(\lt\omega)$-space, $L\Sigma(\le\omega)$-space, function space, cosmic space, network, upper semicontinuous map, 54H11, 54C10, 22A05, 54D06, 54D25, 54C25
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A refinement of the function $g(x)$ on Grimm's conjecture
Shaohua Zhang
Rocky Mountain J. Math. 43 (1), 385-394, (2013) DOI: 10.1216/RMJ-2013-43-1-385 Open Access
KEYWORDS: Consecutive composite numbers, Grimm's conjecture, Cramér's conjecture, binomial coefficient, 11A41, 11A99, 11B65
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