# Abstracts for AustMS2017

12 abstracts submitted for session.

Authors | Title | Session | Timetabled | Abstract |
---|---|---|---|---|

Assoc Prof Dzmitry Badziahin | $p$-adic Littlewood conjecture: what can potential counter-examples look like? | Num Th | 2017-12-12 16:00:00 | In 2004 de~Mathan and Teulie proposed the ... |

Dr Jessica Fintzen | Families of $p$-adic automorphic forms on unitary groups | Num Th | 2017-12-14 15:30:00 | We will start with an introduction to ... |

Dr Liangyi Zhao | Mean-value results of Hecke $L$-functions with fixed-order characters | Num Th | 2017-12-12 16:30:00 | We will present some mean-value results for ... |

Dr Min Sha | On the irregular primes with respect to Euler polynomials | Num Th | 2017-12-14 16:00:00 | An odd prime $p$ is called irregular ... |

Dr Mumtaz Hussain | The Hausdorff measure version of Gallagher's theorem\,---\,closing the gap and beyond | Num Th | 2017-12-12 14:30:00 | I will present my recent results in ... |

Dr Stephen Meagher | Chebotarev's density theorem over finite fields | Num Th | 2017-12-13 16:30:00 | Chebotarev's density theorem is well known over ... |

Dr Timothy Trudgian | Primes and squares\,---\,in less than two pages! | Num Th | 2017-12-13 16:00:00 | There are more sums of squares than ... |

Dr Yinan Zhang | Computing $p$-adic regulators | Num Th | 2017-12-14 12:00:00 | I will give an update on joint ... |

Mr Jeffrey Lay | An explicit bound for the divisor function | Num Th | 2017-12-12 15:00:00 | Landreau proved in 1988 a class of ... |

Mr Kam Hung Yau | Distribution of $\alpha n+ \beta$ modulo 1 over some arithmetic set | Num Th | 2017-12-13 15:00:00 | For any sufficiently small real number $\varepsilon ... |

Mr Simon Macourt | Visible points on exponential curves | Num Th | 2017-12-14 11:30:00 | We provide an introduction to the problem ... |

Prof Peter Forrester | Octonions in random matrix theory | Num Th | 2017-12-13 14:30:00 | The octonions are one of the four ... |