自守表示的L-函数是当前解析数论研究的热点问题,因为自守L-函数是黎曼zeta-函数的自然高维推广,其中蕴涵着目前数学界最关心的Langlands纲领。不仅如此,对高维L-函数的解析性质的研究,还有可能让我们反过来弄清楚一维L-函数的问题,如黎曼猜想或Siegel零点问题。.我们已经完成或准备研究自守L-函数的如下解析性质:. 1. 非零区域和实零点问题;. 2.求和公式和Subconvextiy问题;. 3.均值问题;. 4.1/2线上零点分布问题。
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数据更新时间:2023-05-31
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