报告地点：行健楼学术活动室517
报告人简介：
李红泽教授师承潘承洞院士，1990年毕业于山东大学，获理学博士学位，现为上海交通大学二级教授、博士生导师。长期从事解析数论及组合数论的研究, 在哥德巴赫问题、华林问题、Dirichlet L-函数零点分布、素数子集的组合结构等问题中做出了杰出的贡献。1999 年获教育部首届优秀青年教师教学科研奖励计划，2013 年获上海市自然科学奖二等奖， 同年应邀参加世界华人数学家大会并作报告。曾长期访问加拿大University of Regina (2000-2001) 及美国Harvard University (2005-2006) 等。
报告摘要：
As the new generalization of the two types of unipoly-Dedekind type DC sums , the two types of degenerate unipoly-Dedekind type DC sums are introduced, which are obtained from the unipoly-Dedekind type DC sums by replacing type 2 unipoly-Euler functions by type 2 degenerate unipoly-Euler functions and unipoly-Euler functions by degenerate unipoly-Euler functions. By using the definitions of unipoly functions, degenerate Stirling numbers of first kind and second kind, degenerate Genocchi polynomials and numbers and other polynomials and numbers, several combinatorial identities and properties of type 2 degenerate unipoly-Euler functions and degenerate unipoly-Euler functions are obtained. The two types of degenerate unipoly-Dedekind DC sums are shown to satisfy reciprocity relations. This is a joint work with Lingling Luo and Yuankun Ma.
