HZHuohong Zhang
Huohong Zhang
*This is an algorithmically generated author record based on publicly available information.
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The organizations/institutes from the scholar's latest article
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Huohong Zhang has a total of 1 co-authors. Here are the top co-authors by number of shared publications:
- Liuquan Wang
School of Mathematics and Statistics, Wuhan University, Wuhan, People’s Republic of China
3 shared publications
Latest Publications
- Open Access
- 9 October 2025
- Published by Springer Nature in The Ramanujan Journal
- Vol. 68 (3) , 1-2
Correction: Modularity of some Nahm sums as vector-valued functions
- 9 October 2025
- Published by Springer Nature in The Ramanujan Journal
- Vol. 68 (3) , 1-2
Open AccessCorrection: Modularity of some Nahm sums as vector-valued functions
- 1 September 2025
- Published by Springer Nature in The Ramanujan Journal
- Vol. 68 (2) , 1-30
Modularity of some Nahm sums as vector-valued functions
- 1 September 2025
- Published by Springer Nature in The Ramanujan Journal
- Vol. 68 (2) , 1-30
Modularity of some Nahm sums as vector-valued functions
- Open Access
Modularity of Some Nahm Sums as Vector-valued Functions
Zagier observed that modular Nahm sums associated with the same matrix may form a vector-valued modular function on some congruence subgroup. We establish modular transformation formulas for several families of Nahm sums by viewing them as vector-valued functions, and thereby we show that they are indeed modular on the congruence subgroup $Γ_0(N)$ with $N=1,2,3,4$. In particular, we prove two transformation formulas discovered by Mizuno related to the Kanade--Russell mod 9 conjecture and Capparelli's identities. We also establish vector-valued transformation formulas for some theta series. As applications, we give modular transformation formulas for various families of Nahm sums involving those in the Andrews--Gordon identities and Bressoud's identities.Open AccessModularity of Some Nahm Sums as Vector-valued Functions
Zagier observed that modular Nahm sums associated with the same matrix may form a vector-valued modular function on some congruence subgroup. We establish modular transformation formulas for several families of Nahm sums by viewing them as vector-valued functions, and thereby we show that they are indeed modular on the congruence subgroup $Γ_0(N)$ with $N=1,2,3,4$. In particular, we prove two transformation formulas discovered by Mizuno related to the Kanade--Russell mod 9 conjecture and Capparelli's identities. We also establish vector-valued transformation formulas for some theta series. As applications, we give modular transformation formulas for various families of Nahm sums involving those in the Andrews--Gordon identities and Bressoud's identities.