1 citations · 1 across the 2 of their papers we have counts for
4 papers
Weighted cylindric partitions
Walter Bridges, Ali Uncu
Recently Corteel and Welsh outlined a technique for finding new sum-product identities by using functional relations between generating functions for cylindric partitions and a the…
Partitions into distinct parts with bounded largest part
Walter Bridges
We prove an asymptotic formula for the number of partitions of into distinct parts where the largest part is at most for fixed . Our method follow…
Limit Shapes for Unimodal Sequences
Walter Bridges
We prove asymptotic 0-1 Laws satisfied by diagrams of unimodal sequences of positive integers. These diagrams consist of columns of squares in the plane, and the upper boundary is…
Partition Inequalities and Applications to Sum-Product Conjectures of Kanade-Russell
Walter Bridges
We consider differences of one- and two-variable finite products and provide combinatorial proofs of the nonnegativity of certain coefficients. Since the products may be interprete…