1Hypernormal Forms for Equilibria of Vector Fields.Codimension One Linear Degeneracies

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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

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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

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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

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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

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