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math.NT2024
Proofs of Mizuno's Conjectures on Rank Three Nahm Sums of Index
Boxue Wang, Liuquan Wang
Mizuno provided 15 examples of generalized rank three Nahm sums with symmetrizer which are conjecturally modular. Using the theory of Bailey pairs and some $…
math.NT2024
Mizuno's rank three Nahm sums I: identities of index
Boxue Wang, Liuquan Wang
Mizuno provided 19 examples of generalized rank three Nahm sums with symmetrizer which are conjecturally modular. We confirm their modularity by establishing…
math.NT2023★ 1 cited
Proofs of Mizuno's Conjectures on Generalized Rank Two Nahm Sums
Boxue Wang, Liuquan Wang
Recently, Mizuno studied generalized Nahm sums associated with symmetrizable matrices. He provided 14 sets of candidates of modular Nahm sums in rank two and justified four of them…