Amanda Welch

activity

20192024

most citedDouble Affine Bruhat Order

2 citations · 4 across the 4 of their papers we have counts for

collaborators

Showing math.COShow all

4 papers · 1 filter

math.CO2024

Combinatorial proofs of inequalities involving the number of partitions with parts separated by parity

Cristina Ballantine, Amanda Welch

We consider the number of various partitions of $n$ with parts separated by parity and prove combinatorially several inequalities between these numbers. For example, we show that f…

math.CO2021

Beck-type companion identities for Franklin's identity

Cristina Ballantine, Amanda Welch

The original Beck conjecture, now a theorem due to Andrews, states that the difference in the number of parts in all partitions into odd parts and the number of parts in all strict…

math.CO2020★ 2 cited

Beck-type identities: new combinatorial proofs and a theorem for parts congruent to $t$ mod $r$

Cristina Ballantine, Amanda Welch

Let $O_{r} (n)$ be the set of $r$ -regular partitions of $n$ , $D_{r} (n)$ the set of partitions of $n$ with parts repeated at most $r - 1$ times, $O_{1, r} (n)$ the…

math.CO2019★ 2 cited

Double Affine Bruhat Order

Amanda Welch

We classify cocovers and covers of a given element of the double affine Weyl semigroup W with respect to the Bruhat order, specifically when W is associated to a finite root system…

Combinatorial proofs of inequalities involving the number of partitions with parts separated by parity

Beck-type companion identities for Franklin's identity

Beck-type identities: new combinatorial proofs and a theorem for parts congruent to t mod r

Double Affine Bruhat Order

Beck-type identities: new combinatorial proofs and a theorem for parts congruent to $t$ mod $r$