{十大滚球体育APP入口规则须知 - {十大滚球体育APP入口
Lower Bounds for Heights over Function Fields
主讲人: David Masser (University of Basel) 对照阅读
活动时间: 从 2025-09-19 15:30 到 2025-09-16 16:30 继续了解
场地: Room 77201, Jingchunyuan 78, BICMR 延伸阅读
Abstract: After introducing the Lehmer Question (unanswered since 1933), we discuss lower bounds of Lehmer type for N ́eron-Tate heights on elliptic curves over the function field C(t) (before last year there were apparently no such estimates in the published literature). Then Silverman proved a result using the “Fourier Method”. I will describe an alternative method through auxiliary polynomials and an approach first used by Sieburg in his 1983 thesis (since then hardly developed in the published literature). That method is based on an analogue of Mahler’s p-adic transcendence techniques which could be crudely described as t-adic.
