学术报告

题      目：On the first sign change of Fourier coefficients of cusp forms

报  告  人：王英男  研究员  (邀请人：袁平之 )

                                    深圳大学数学科学学院

时      间：5月23日  09：20-10：20

地     点：数科院东楼阶梯二楼报告厅

报告人简介:

        王英男，深圳大学数学科学学院研究员，博士生导师。先后于山东大学获得学士、硕士学位，香港大学获得博士学位。主要从事自守形式与自守L-函数的研究工作，先后在Adv. Math., Amer. J. Math. (to appear), Int. Math. Res. Not, Israel J. Math.等期刊上发表论文十余篇，先后主持过国家自然科学基金青年项目和面上项目。

摘      要：

        In the talk, we will survey some recent progress on the first sign change of Fourier coefficients of cusp forms and present a variant of the current widely used method initiated by Choie and Kohnen in the study of the location of the first sign change of the Fourier coefficients of a holomorphic cusp form when all the coefficients are real. This variant of Choie and Kohnen's method applies to more cases including integral weight cusp forms on congruence subgroups of any levels as well as half-integral weight cusp forms. This is a joint work with Guohua Chen and Yuk-Kam Lau.

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