3 papers
math.NT2025
Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples
Zhineng Cao, Liuquan Wang
We find nine new sets of rank four Nahm sums associated with nine different numeric matrices which are likely to be modular. They are discovered by applying the lift-dual operation…
math.NT2024
Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation
Zhineng Cao, Liuquan Wang
Around 2007, Zagier discovered some rank two and rank three Nahm sums, and their modularity have now all been confirmed. Zagier also observed that the dual of a modular Nahm sum is…
math.NT2023
On Some Double Nahm Sums of Zagier
Zhineng Cao, Hjalmar Rosengren, Liuquan Wang
Zagier provided eleven conjectural rank two examples for Nahm's problem. All of them have been proved in the literature except for the fifth example, and there is no -series pro…