### 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.