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Rocky Mountain Journal of Mathematics
VOL. 39 · NO. 2 | 2009
 
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Front Matter
Table of Contents, Rocky Mountain Journal of Mathematics, vol. 39, no. 2, (2009)
Rocky Mountain J. Math. 39 (2), (2009) Open Access
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Articles
Matrix Summability Methods and Weakly Unconditionally Cauchy Series
A. Aizpuru, C. Pérez-Eslava, J.B. Seoane-Sepúlveda
Rocky Mountain J. Math. 39 (2), 367-380, (2009) DOI: 10.1216/RMJ-2009-39-2-367 Open Access
KEYWORDS: Matrix summability, weakly unconditionally Cauchy series, Orlicz-Pettis theorem, 40C05, 46B45, 46B15
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Some Series of Honey-Comb Spaces
Elena Barbieri, Alberto Cavicchioli, Fulvia Spaggiari
Rocky Mountain J. Math. 39 (2), 381-398, (2009) DOI: 10.1216/RMJ-2009-39-2-381 Open Access
KEYWORDS: Three-manifolds, group presentations, spines, orbifolds, polyhedral schemata, Branched coverings, 57M12, 57M25, 57M50, 57M60
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Orders of Vanishing of Zeros of Characteristic $p$ Zeta Function
V. Bautista-Ancona, J. Diaz-Vargas, J.L. Maldonado-Bazán
Rocky Mountain J. Math. 39 (2), 399-412, (2009) DOI: 10.1216/RMJ-2009-39-2-399 Open Access
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Primes Between Consecutive Powers
Danilo Bazzanella
Rocky Mountain J. Math. 39 (2), 413-421, (2009) DOI: 10.1216/RMJ-2009-39-2-413 Open Access
KEYWORDS: Prime numbers between powers, primes in short intervals, 11NO5
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A Converse Theorem for Hilbert-Jacobi Forms
Kathrin Bringmann, Shuichi Hayashida
Rocky Mountain J. Math. 39 (2), 423-435, (2009) DOI: 10.1216/RMJ-2009-39-2-423 Open Access
KEYWORDS: 11F41, 11F50, 11F66
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Lifting Properties of Prime Geodesics
Darin Brown
Rocky Mountain J. Math. 39 (2), 437-454, (2009) DOI: 10.1216/RMJ-2009-39-2-437 Open Access
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A Combinatorial Characterization of Jacobi Forms
Youngju Choie, Olav K. Richter
Rocky Mountain J. Math. 39 (2), 455-462, (2009) DOI: 10.1216/RMJ-2009-39-2-455 Open Access
KEYWORDS: 11F50, 11F41, 11F55
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Inherent Compactness of Upper Continuous Set Valued Maps
Brian L. Davis, Iwo Labuda
Rocky Mountain J. Math. 39 (2), 463-484, (2009) DOI: 10.1216/RMJ-2009-39-2-463 Open Access
KEYWORDS: Upper semi continuous set-valued map, active boundary, Choquet kernel, Văıns˘te˘ın-Choquet-Dolecki theorem, compact filter base, ‎54C60‎
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A Prime Geodesic Theorem for Higher Rank II: Singular Geodesics
Anton Deitmar
Rocky Mountain J. Math. 39 (2), 485-507, (2009) DOI: 10.1216/RMJ-2009-39-2-485 Open Access
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Perturbations of Nonassociative Banach Algebras
Anar Dosi
Rocky Mountain J. Math. 39 (2), 509-526, (2009) DOI: 10.1216/RMJ-2009-39-2-509 Open Access
KEYWORDS: The inversion constant of an operator, nonassociative stable Banach algebra, cohomologies of Banach-Jordan algebras, 46H05, 46H70
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Roots of Polynomials of Bounded Height
Paulius Drungilas, Artūras Dubickas
Rocky Mountain J. Math. 39 (2), 527-543, (2009) DOI: 10.1216/RMJ-2009-39-2-527 Open Access
KEYWORDS: Height 1 polynomials, Newman polynomials, roots of unity, units, Power series, beta-expansions, 11R04, 11R09, 11R18, 12D10
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Minimal Usco Maps, Densely Continuous Forms and Upper Semi-Continuous Functions
Ľubica Holá, Dušan Holý
Rocky Mountain J. Math. 39 (2), 545-562, (2009) DOI: 10.1216/RMJ-2009-39-2-545 Open Access
KEYWORDS: USCO map, minimal usco map, densely continuous form, quasicontinuous function, subcontinuous function, cardinal invariants, 54C35‎, 54B20, 54C08
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On the Conditional Expectation of the First Exit Time of Brownian Motion
Majid Hosseini
Rocky Mountain J. Math. 39 (2), 563-572, (2009) DOI: 10.1216/RMJ-2009-39-2-563 Open Access
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Some Applications of Certain Character Sums
Liu Huaning, Zhang Wenpeng
Rocky Mountain J. Math. 39 (2), 573-589, (2009) DOI: 10.1216/RMJ-2009-39-2-573 Open Access
KEYWORDS: character sums, Cochrane sums, an integer and its inverse, 11L40, 11F20, 11A07
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On the Group of Isometries of the Plane with Generalized Absolute Value Metric
R. Kaya, Ö. Gelişgen, S. Ekmekçi, A. Bayar
Rocky Mountain J. Math. 39 (2), 591-603, (2009) DOI: 10.1216/RMJ-2009-39-2-591 Open Access
KEYWORDS: isometry, distance, metric, taxicab distance, Chinese checkers metric, dihedral group, symmetry groups, 51B20, 51F99, 51K05, 51K99, 51N25
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Local Solvability for $\square_b$ on Degenerate $CR$ Manifolds and Related Systems
Fabio Nicola
Rocky Mountain J. Math. 39 (2), 605-618, (2009) DOI: 10.1216/RMJ-2009-39-2-605 Open Access
KEYWORDS: 32W10, 35A07
No abstract available
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Wavelet Transform on Spaces of Type $W$
R.S. Pathak, Gireesh Pandey
Rocky Mountain J. Math. 39 (2), 619-631, (2009) DOI: 10.1216/RMJ-2009-39-2-619 Open Access
KEYWORDS: W -type spaces, continuous wavelet transform, ‎42C40, 46F12, 46F15
No abstract available
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Sufficient Conditions for Factorable Matrices to be Bounded Operators on ${\cal A}_k$
E. Savaş, H. Şevli, B.E. Rhoades
Rocky Mountain J. Math. 39 (2), 633-644, (2009) DOI: 10.1216/RMJ-2009-39-2-633 Open Access
KEYWORDS: Bounded operator, factorable matrices, Rhaly matrices, Ak spaces, 40D15
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A Note on Some Characterizations of Arithmetic Functions
Temba Shonhiwa
Rocky Mountain J. Math. 39 (2), 645-651, (2009) DOI: 10.1216/RMJ-2009-39-2-645 Open Access
KEYWORDS: convolution, core function, multiplicative, completely multiplicative, quadratic function, 11A25, 11P81, 11B50, 11B65, 11B75, 11Y70
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Hypoelliptic Convolution Equations in the Space of Distributions on Noncompact Semi-Simple Lie Groups
Khalifa Trimèche
Rocky Mountain J. Math. 39 (2), 653-681, (2009) DOI: 10.1216/RMJ-2009-39-2-653 Open Access
KEYWORDS: Noncompact semi-simple Lie groups, convolution product of distributions, spherical transform of distributions, hypoelliptic convolution equations, hypoelliptic distributions, 22E46, 44A35, ‎43A32
No abstract available
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On Extension and Refinement of Wilker's Inequality
Shanhe Wu
Rocky Mountain J. Math. 39 (2), 683-687, (2009) DOI: 10.1216/RMJ-2009-39-2-683 Open Access
KEYWORDS: Wilker's inequality, exponent, Extension‎, refinement, 26D15
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Critical Curve of the Non-Newtonian Polytropic Filtration Equations Coupled via Nonlinear Boundary Flux
Zhaoyin Xiang, Chunlai Mu, Yulan Wang
Rocky Mountain J. Math. 39 (2), 689-705, (2009) DOI: 10.1216/RMJ-2009-39-2-689 Open Access
KEYWORDS: Non-Newtonian polytropic filtration equations, nonlinear boundary flux, global existence, Blow-up, critical curve, 35K50, 35K55, 35K65, 35B33
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