报告题目：Mock theta functions and mixed mock modular forms

报告人：陈斌

时间：2017-05-06

地点：数学院一楼南研究生教室

摘要：In this talk, by revisiting the mixed mock modular form associated to the strongly unimodal sequences of weight $n$ and the third order Ramanujan’s mock theta function $f(q)$, three new mixed mock modular forms are constructed by considering the bilateral series of them. The inner relationships among them are also discussed although they are defined in different ways. These new mixed mock modular forms can be expressed in terms of Appell-Lerch sums. The related mock theta functions can be completed as harmonic weak Maass forms. As an application, we give a proof for the claim by Bajpai et al. that the bilateral series $B(f;q)$ of the third order mock theta function $f(q) $ is a mixed mock modular form.

报告时间：2017年5月6日16:00-17:00

报告人简介：

陈斌，男，陕西淳化人，理学博士，渭南师范学院副教授。现为中国密码学会、陕西省数学学会、渭南市数学学会会员，陕西省数学教育研究会理事。主要从事数论和模形式理论研究，先后主持国家自然科学基金青年项目1项、陕西省自然科学基金2项、陕西省军民融合研究院项目2项、陕西省教育厅自然科学计划项目3项，参与国家自然科学基金等研究课题12项，以第一作者在国内外专业核心期刊发表学术论文20余篇，出版专著1部。曾获得陕西省首届高校青年教师赛讲优秀奖、首届微课教学竞赛一等奖，被评为校级“教学能手”。研究成果获渭南市人民政府自然科学优秀论文成果奖、校级优秀科研成果奖和教学成果奖。