报告主题:关于Fq线性函数的可积微分方程
报告人:R. Halburd 教授 (英国University College London)
报告时间:2017年4月12日(周三)9:30
报告地点:新乐乎楼大学厅
邀请人:张大军
主办部门:永利数学系
报告摘要:We study natural analogues of differential equations with solutions defined on functions fields over finite fields. Analogues in this setting of important special functions such as the exponential, gamma and hypergeometric functions have been discovered by Carlitz, Goss, Thakur and others. We will discuss integrable analogues of certain differential equations in this context and the role played by singularity analysis. The analogues of differential equations in this context are actually discrete and yet they appear to have more in common with classical integrable differential equations rather than discrete ones.
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