The paper proves modularity of new rank-three Nahm sums from a lift-dual construction and gives two new rank-three counterexamples to Zagier's duality conjecture.
Andrews, The Theory of Partitions, Addison–Wesley, 1976; Reissued Cambridge, 1998
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Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation
The paper proves modularity of new rank-three Nahm sums from a lift-dual construction and gives two new rank-three counterexamples to Zagier's duality conjecture.