Event Detail

Event Type: 
REU Colloquium
Date/Time: 
Friday, July 22, 2022 - 15:00 to 15:50
Location: 
STAG 110

Speaker Info

Local Speaker: 
Abstract: 

Alder conjectured that the number of d-distinct partitions of an integer, n, is greater than or equal to the number of partitions of n into parts congruent to plus or minus one modulo d+3. Andrews and Yee proved Alder's conjecture for all but finitely many values of d using intricate combinatorial methods. We discuss the asymptotic method used by Alfes, Jameson, and Lemke Oliver to prove Alder's conjecture for the remaining values of d. Additionally, we discuss results of Kang and Kim and a related conjecture of S- and Swisher. We also present ongoing work on a conjecture of Kang and Park.