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math.NT2026
Asymptotics for the Enumeration of Commuting Matrices over Finite Fields
Kathrin Bringmann, Shane Chern, Johann Franke +1
We give asymptotic expressions for the number of commuting matrices over finite fields. For this, we use product expansions for the corresponding generating functions.
math.NT2025
A probabilistic proof of Euler's pentagonal number theorem
Shane Chern
We present a probabilistic proof of Euler's pentagonal number theorem based on a shuffling model.
math.NT2024
Multiple Rogers--Ramanujan type identities for torus links
Shane Chern
In this paper, we establish simple -fold summation expressions for the Quot and motivic Cohen--Lenstra zeta functions associated with the torus links. Such expressions…