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Generating functions of the Hurwitz class numbers associated with certain mock theta functions

活动时间:2022-08-24 20:00

活动地点:腾讯会议 165-470-067 会议密码:220824

主讲人:陈旦旦

主讲人中文简介:

陈旦旦,华东师范大学博士生,现为上海大学讲师,硕士生导师,其研究方向为组合数论。她获得上海扬帆计划项目(2021-2024),迄今已在国外著名数学期刊《Advances in Mathematics》等杂志上发表学术论文。

活动内容摘要:

Recently,  Chen and Garvan provided some of modulo 4 congruences  between the Hurwitz class numbers and the coefficients of certain mock theta functions. To find further relation, we find Hecke-Rogers type series representations of generating functions of the Hurwitz class numbers which are similar to certain mock theta functions. We also prove two combinatorial interpretations of Hurwitz class numbers which appeared on OEIS.

主持人:罗旻杰