关于举行澳大利亚新南威尔士大学沙敏博士学术报告的通知

报告题目：Multiplicativedependence and independence of the translations of algebraicnumbers
报告人：沙敏 博士（澳大利亚新南威尔士大学）
报告时间：2016年10月20（星期四）上午9:00-10:00
报告地点：4号楼4318室

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                                                                     数学学院
                                                                  2016年10月17日

报告摘要：Wesay that non-zero complex numbers a_1,...,a_n are multiplicativelydependent if there exist integers k_1,...,k_n, not all zero, suchthat a_1^{k_1} ···a_n^{k_n} = 1. In this talk, we first presentthat given pairwise distinct algebraic numbers a_1, . . . , a_n, thenumbers a_1 + t, . . . , a_n + t are multiplicatively independent forall sufficiently large integers t. Then, for a pair (a,b) of distinctintegers, we will say something about how many pairs (a + t, b + t)are multiplicatively dependent when t runs through the integers. Thisis joint work with Arturas Dubickas.