The BULLETIN of the Australian Mathematical Society began publication in 1969. Normally two volumes of three numbers are published annually.
Since 2008 the journal has been published by Cambridge University Press.

### Vol 90, No 1 (2014)

### Table of Contents

#### Articles

Counting symmetric colourings of the vertices of a regular polygon | |

Y. Zelenyuk, Y. Zelenyuk |

On the exponential Diophantine equation \((m^2+1)^x+(cm^2-1)^y=(am)^z \) | |

T. Miyazaki, N. Terai |

A note on the Diophantine equation \(x^2+q^m=c^n\) | |

N. Terai |

The quantitative distribution of Hecke eigenvalues | |

Y. Wang |

New infinite families of congruences modulo 4 and 8 for 1-shell totally symmetric plane partitions | |

O. X. M. Yao |

Elliptic curves arising from Brahmagupta quadrilaterals | |

F. Izadi, F. Khoshnam, D. Moody, A. S. Zargar |

(Strongly) Gorenstein flat modules over group rings | |

A. Bahlekeh |

Some inequalities of Jensen type for arg-square convex functions of unitary operators in Hilbert spaces | |

S. S. Dragomir |

A probabilistic proof of the Open Mapping theorem for analytic functions. | |

G. Markowsky |

Korányi's lemma for homogeneous Siegel domains of type II. Applications and extended results | |

D. Bekolle, H. Ishi, C. Nana |

A new unique continuation property for the Korteweg-de Vries equation | |

M. Chen, P. Gao |

Almost automorphic solutions for differential equations with piecewise constant argument | |

L.-L. Zhang, H.-X. Li |

The multiplier algebra of a Beurling algebra | |

S. J. Bhatt, P. A. Dabhi, H. V. Dedania |

Joins and covers in inverse semigroups and tight C*-algebras | |

A. P. Donsig, D. Milan |

Reflexive index of a family of subspaces | |

W. E. Longstaff |

A note on spaces with a rank 2-diagonal | |

W.-F. Xuan, W.-X. Shi |

A note on K-spaces | |

H. Wang, W. He |

On discrete stochastic processes with disjunctive outcomes | |

K. Lesniak |

An efficient method for improving the computational performance of the cubic Lucas cryptosystem | |

R. N. Majid, E. Sundararajan, Z. M. Ali |

#### Abstracts of PhD Theses

Aspects of globular higher category theory | |

C. Kachour |

Connectedness and minimal length elements in spaces of bounded curvature paths | |

J. Ayala |

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Bulletin of the Aust. Math. Soc., copyright Australian Mathematical Publishing Association Inc.