34 citations · 312 across the 53 of their papers we have counts for
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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…
New proofs of the septic Rogers-Ramanujan identities
Hjalmar Rosengren
We give new proofs of the twelve Rogers-Ramanujan-type identities due to Rogers and Slater that are traditionally associated with the moduli 7, 14 and 28.
A New (But Very Nearly Old) Proof of the Rogers-Ramanujan Identities
Hjalmar Rosengren
We present a new proof of the Rogers-Ramanujan identities. Surprisingly, all its ingredients are available already in Rogers seminal paper from 1894, where he gave a considerably m…
Proofs of some partition identities conjectured by Kanade and Russell
Hjalmar Rosengren
Kanade and Russell conjectured several Rogers-Ramanujan-type partition identities, some of which are related to level characters of the affine Lie algebra . Many of…
Sums of squares from elliptic pfaffians
Hjalmar Rosengren
We give a new proof of Milne's formulas for the number of representations of an integer as a sum of 4m^2 and 4m(m+1) squares. The proof is based on explicit evaluation of pfaffians…
Sums of triangular numbers from the Frobenius determinant
Hjalmar Rosengren
We show that the denominator formula for the strange series of affine superalgebras, conjectured by Kac and Wakimoto and proved by Zagier, follows from a classical determinant eval…