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ROCKY MOUNTAIN JOURNAL OF MATHEMATICS Volume 36 2006 Number 1 CONTENTS

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ROCKY MOUNTAIN JOURNAL OF MATHEMATICS Volume 36 2006 Number 1

CONTENTS

Weakly Krull and Related Domains of the Form D+M, A+XB[X] and A+X2B[X]

BY DAVID F. ANDERSON, GYU WHAN CHANG

AND JEANAM PARK ...1

Bounded Solutions of Third Order Nonlinear Difference Equations

BY ANNA ANDRUCH-SOBILO AND MALGORZATA MIGDA 23

On the Goldbach Conjecture in Arithmetic Progressions

BY CLAUS BAUER AND WANG YONGHUI 35

Linear Preservers for Sylvester and Frobenius Bounds on Matrix Rank

BY LEROY B. BEASLEY, ALEXANDER E. GUTERMAN

AND CORA L. NEAL 67

Positive Integers Whose Euler Function Is a Power of Their Kernel Function

BY J.-M. DE KONINCK, F. LUCA

AND A. SANKARANARAYANAN 81

Multiple Positive Solutions for Elliptic Boundary Value Problems

BY PAVEL DRABEK AND STEPHEN B. ROBINSON 97

A Qualitative Analysis on Nonconstant Graininess of the Adaptive Grids via Time Scales

BY P.W. ELOE, S. HILGER AND Q. SHENG 115

Existence of Solutions for the Barotropic-Vorticity Equation in an Unbounded Domain

BY B. EMAMIZADEH AND F. BAHRAMI 135

A Telescoping Principle for Oscillation of Second Order Differential Equations on a Time Scale

BY LYNN ERBE, LINGJU KONG AND QINGKAI KONG 149

On Twisted Subgroups and Bol Loops of Odd Order

BY TUVAL FOGUEL, MICHAEL K. KINYON AND J.D. PHILLIPS 183

On the Classification Theorems of Almost-Hermitian or Homogeneous Kahler Structures

BY P. FORTUNY AND P.M. GADEA 213

New Congruences for Odd Perfect Numbers

BY LUIS H. GALLARDO AND OLIVIER RAHAVANDRAINY 225

CONTENTS CONTINUED ON LAST PAGE

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Representations and Interpolations of Weighted Harmonic Bergman Functions

BY KYESOOK NAM 237

The Divergence-Free Jacobian Conjecture in Dimension Two

BY J.W. NEUBERGER 265

Approximation of Invariant Measures for Random Iterations

BY ANDERS OBERG 273

Differential Inequalities and Criteria for Starlike and Univalent Functions

BY M. OBRADOVIC, S. PONNUSAMY, V. SINGH

AND P. VASUNDHRA 303

Oscillation Results for Linear Matrix Hamiltonian Systems

BY YUAN GONG SUN AND FANWEI MENG 319

The Arc Length of the Lemniscate |wn+c| = 1

BY CHUNJIE WANG AND LIZHONG PENG 337

Cyclic Vectors in the Bloch Spaces

SHANLI YE 349

An Implicit Function Theorem

BY I.V. ZHURAVLEV, A . Y U . IGUMNOV

AND V.M. MIKLYUKOV 357

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