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math.NT2023
Remarks on Nahm sums for symmetrizable matrices
Yuma Mizuno
Nahm sums are specific -hypergeometric series associated with symmetric positive definite matrices. In this paper we study Nahm sums associated with symmetrizable matrices. We s…
math.QA2023
Periodic -Systems and Nahm Sums: The Rank 2 Case
Yuma Mizuno
We classify periodic -systems of rank 2 satisfying the symplectic property. We find that there are six such -systems. In all cases, the periodicity follows from the existence…