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math.CO2025
Expanding the unicellular LLT polynomials of two-headed melting lollipops into ribbon Schurs
Victor Wang
We prove a simple formula expanding the unicellular LLT polynomials of a class of graphs we call two-headed melting lollipops into ribbon Schur functions. Our work extends the Schu…
math.CO2025
On an alternating sum of factorials and Stirling numbers of the first kind: trees, lattices, and games
Victor Wang
We study an alternating sum involving factorials and Stirling numbers of the first kind. We give an exponential generating function for these numbers and show they are nonnegative…