ROCKY MOUNTAIN JOURNAL OF MATHEMATICS Volume 29 Spring 1999 Number 1
CONTENTS
The Second-Order Factorable Core of Polynomials over Finite Fields
BY MARIA T. ACOSTA AND JAVIER GOMEZ-CALDERON . . . 1
Hypernormal Forms for Equilibria of Vector Fields.
Codimension One Linear Degeneracies
BY A. ALGABA, E. FREIRE AND E. GAMERO . . . 13 A Further Application of the deLeeuw-Glickstein Theorem
BY W.J. ANDERSON AND N. WARD-ANDERSON . . . 47 Embedding Derivatives of .M-Harmonic Functions
' into V Spaces
BY MILOS ARSENOVIC . . . 61 Surfaces in P5 which Do Not Admit Trisecants
BY E. BALLICO AND A. COSSIDENTE . . . 77
On Hankel Convolution Equations in Distribution Spaces
BY JORGE J. BETANCOR AND LOURDES RODRI'GUEZ-MESA . . . 93
An Explicit Upper Bound for the Riemann Zeta-Function near the Line <T = 1
BY YUANYOU (FRED) CHENG . . . 115 Multiplicity Results on a Fourth Order
Nonlinear Elliptic Equation
BY Q-HEUNG CHOI AND TACKSUN JUNG . . . 141
On Necessary Conditions for the Existence of Odd Perfect Numbers
BY JOHN A. EWELL . . . 165 Constrained Convergence
BY ROBERT E. HARTWIG AND PETER SEMRL . . . 177 Oscillation Tests for Delay Equations
BY J. JAROS AND I.P. STAVROULAKIS . . . 197
Distal Compactifications of Group Extensions
BY H.D. J U N G H E N N AND P. MILNES . . . 209
The Ergodic Theorem for Topological Cocycles
BY K.M. MADDEN AND N.G. MARKLEY . . . 229 Differential Operators over G*-Algebras
BY JOHN G. MILLER . . . 239
On the Hilbert Function of Certain Non Cohen-Macaulay One-Dimensional Rings
BY SILVIA MOLINELLI AND GRAZIA TAMONE . . . 271
Ensemble de Convergence
BY GILBERT MURAZ . . . 301 Groups of Isometrics of a Tree and the CCR Property
BY CLAUDIO NEBBIA . . . 311 The Ergodic Hilbert Transform on the Weighted
Spaces £ p ( G , w )
By PHYLLIS PANMAN . . . 317 Some Identities Connecting Partition Functions to Other
Number Theoretic Functions
BY NEVILLE R.OBBINS . . . 335 Cyclic Subgroup Separability of Certain HNN Extensions
of Finitely Generated Abelian Groups
BY P.C. WONG AND O.K. TANG . . . 347 Qualitative Properties of Functional Differential
Equations with "Maxima"
BY B.G. Z H A N G AND G U A N G ZHANG . . . 357
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS Volume 29 Summer 1999 Number 2
CONTENTS
Finite Codimensional Invariant Subspaces of Banach Spaces of Analytic Functions
BY A. ABDOLLAHI AND K. SEDDIGHI . . . 369 Asymptotic Theory for a General Third-Order
Differential Equation of Euler Type
BY A.A. AL-HAMMADI . . . 383 Almost Sure Convergence and Decomposition
of Multivalued Random Processes
BY EVGENIOS P. AVGEMNOS
AND NIKOLAS S. PAPAGEORGIOU . . . 401
Meromorphic Functional Calculus and Local Spectral Theory
BY TERESA BERMUDEZ . . . 437 Global Existence and Blow-Up of Solutions
for a.Semilinear Parabolic System
BY SHAOHUA CHEN AND WILLIAM R. DERRICK . . . 449 The Diophantine Equation ax5+by5+cz6 = auc'+^nJ6+cw&
BY AJAI CHOUDHRY . . . 459 The Transformation Formula for the Szego Kernel
BY YOUNG-BOK CHUNG AND MOONJA JEONG . . . 463
On Bounded Vector Fields
BY ANNA CIMA, FRANCESC MANOSAS
AND JORDI VILLADELPRAT . . . 473
Direct Sums and Summands of Weak CS-Modules and Continuous Modules
BY NOYAN E R . . . 491 Some Aspects of Dentability in Bitopological
and Locally Convex Spaces
BY MISHEL FUNDO . . . 505
Duality in Noetherian Integral Domains
BY H. PAT GOETERS . . . 519 Multipoint Pade-Type Approximation:
An Algebraic Approach
BY P. G O N Z A L E Z - V E R A AND M. JIMENEZ PAIZ . . . 531
Symmetry Increasing Bifurcations via Collisions of Attractors
BY CORDULA HEINRICH . . . 559
On the Essential Spectra of Regularly Solvable Operators in the Direct Sum Spaces
BY SOBHY EL-SAYED IBRAHIM . . . 609 On Limiting Behavior of Probability Measures
on Locally Compact Semigroups
BY CVETAN JARDAS, JOSIP PECARIC
AND NIKOLA SARAPA . . . 645
Source-Type Solutions to Porous Medium Equations with Convection II
BY PH. LAUREN<;OT AND F. SIMONDON . . . 653
Quotient Nearrings of Similinear Nearrings
BY K.D. MAGILL, JR. . . . 671 Spherical Isometries are Hyporeflexive
BY VLADIMIR MULLER AND MAREK PTAK . . . 677
A Note on Pi Incidence Algebras
BY EUGENE SPIEGEL . . . 685 The Hyperbolic Tangent and Generalized
Mellin Inversion
BY. ERIC STADE . . . 691 The Ahlfors Map and Szego Kernel for an Annulus
BY THOMAS J. TEGTMEYER AND ANTHONY D. THOMAS . . . 709 Cyclic Composition Operators on Smooth
Weighted Hardy Spaces
BY NINA ZORBOSKA . . . 725
