报告题目：Turán-Type Inequalities for the Broken k-Diamond Partition Functions

报告人：贾小强 (重庆邮电大学)

报告时间：2024年12月14日（星期六）17:30-18:10

报告地点：数学楼912报告厅

参加人员：本科生、研究生、教师

报告摘要：The Turán inequality, the higher order Turán inequality and the double Turán inequality arise in the study the Maclaurin coefficients of entire functions in the Laguerre-Pólya class. Recently, these Turán-type inequalities for many combinatorial sequences have been extensively investigated. In 2007, Andrews and Paule constructed a new plane partition, which is named the broken k-diamond partition. The number of the broken k-diamond partitions of a non-negative integer n is denoted by ∆_k (n), called the broken k-diamond partition function. In this talk, we derive the Rademacher-type formula for ∆_k (n), obtain an upper bound and a lower bound for ∆_k (n), and based on these bounds, we show some Turán-type inequalities satisfied by ∆_k (n).

报告人简介：贾小强，理学博士，重庆邮电大学理学院讲师，主要从事分析组合学方面的研究，在 Trans. Amer. Math. Soc.，Proc. Roy. Soc. Edinburgh Sect. A，Ramanujan J.，J. Number Theory等期刊发表多篇论文.