Cover Image

Proofs of Two Conjectural Identities on Partial Nahm Sums

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Shi, Changsong, Wang, Liuquan
Format:	Preprint
Published:	2025
Subjects:	Number Theory Combinatorics 05A30, 11P84, 33D15, 33D45, 11F03, 11F27
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Modularity of tadpole Nahm sums in ranks 4 and 5
by: Shi, Changsong, et al.
Published: (2025)

Rogers--Ramanujan Type Identities for Rank Two Partial Nahm Sums
by: Wang, Liuquan, et al.
Published: (2025)

Counterexamples to Zagier's Duality Conjecture on Nahm Sums
by: Wang, Liuquan
Published: (2024)

Proofs of Mizuno's Conjectures on Rank Three Nahm Sums of Index $(1,2,2)$
by: Wang, Boxue, et al.
Published: (2024)

Some New Modular Rank Four Nahm Sums as Lift-dual of Rank Three Examples
by: Cao, Zhineng, et al.
Published: (2025)

Nahm sum identities for Cartan matrices of type $D_k$
by: Wang, Liuquan, et al.
Published: (2025)

Modularity of Some Nahm Sums as Vector-valued Functions
by: Wang, Liuquan, et al.
Published: (2024)

Some New Modular Rank Three Nahm Sums from a Lift-Dual Operation
by: Cao, Zhineng, et al.
Published: (2024)

Mizuno's rank three Nahm sums I: identities of index $(1,1,2)$
by: Wang, Boxue, et al.
Published: (2024)

Identities on Zagier's rank two examples for Nahm's problem
by: Wang, Liuquan
Published: (2022)

Bilateral Bailey Lattices and Andrews-Gordon Type Identities
by: Dousse, Jehanne, et al.
Published: (2023)

Proofs of some conjectures of Okazaki and Smith on line defect half-indices of ${\rm SU}(N)$ Chern-Simons theories
by: Wang, Liuquan, et al.
Published: (2026)

Remarks on Nahm sums for symmetrizable matrices
by: Mizuno, Yuma
Published: (2023)

Congruences modulo powers of $5$ and $7$ for the crank and rank parity functions and related mock theta functions
by: Chen, Dandan, et al.
Published: (2024)

Identities for the Rogers-Ramanujan Continued Fraction
by: Baruah, Nayandeep Deka, et al.
Published: (2024)

Multiple Rogers-Ramanujan type identities for inert quadratic orders
by: Chern, Shane, et al.
Published: (2025)

Restricted Overpartitions and concave compositions: their modularity and asymptotics
by: Banerjee, Koustav, et al.
Published: (2026)

Andrews--Gordon and Stanton type identities: bijective and Bailey lemma approaches
by: Dousse, Jehanne, et al.
Published: (2025)

New Gosper-type Lambert series identities of levels 12 and 16
by: Guadalupe, Russelle
Published: (2025)

Gosper-type Lambert series identities of level 14
by: Guadalupe, Russelle
Published: (2024)

Bilateral Bailey pairs and Rogers-Ramanujan type identities
by: Liu, Xiangxin, et al.
Published: (2025)

Asymmetric bilateral Bailey pairs and Rogers-Ramanujan type identities
by: Liu, Xiangxin, et al.
Published: (2026)

2- and 3-Dissections of Second-, Sixth-, and Eighth-Order Mock Theta Functions
by: Garvan, Frank, et al.
Published: (2026)

Theta functions and transformations of bilateral basic hypergeometric series
by: Zhou, Nian Hong
Published: (2026)

Several new product identities in relation to two-variable Rogers-Ramanujan type sums and mock theta functions
by: Pascadi, Alexandru
Published: (2020)

Combinatorial Interpretations of Cranks of Overpartitions and Partitions without Repeated Odd Parts
by: Garvan, Frank G., et al.
Published: (2024)

Proof of Merca's stronger conjecture on truncated Jacobi triple product series
by: Ding, Xiangyu, et al.
Published: (2024)

A divisor generating $q$-series and cumulants arising from random graphs
by: Agarwal, Archit, et al.
Published: (2025)

A divisor generating q-series identity and its applications to probability theory and random graphs
by: Agarwal, Archit, et al.
Published: (2024)

Transformation and symmetries for the Andrews-Garvan crank function
by: Sarma, Rishabh
Published: (2023)

One variable Generalization of five entries of Ramanujan and their finite analogue
by: Agarwal, Archit
Published: (2024)

Hauptmoduln and even-order mock theta functions modulo 2
by: Kang, Soon-Yi, et al.
Published: (2024)

Generalizing the Index of the $u$-Deformed Homogeneous Polynomials and Generating Functions for $\mathrm{R}_{-n}(x,y;q|u)$
by: López, Ronald Orozco
Published: (2024)

Rogers-Ramanujan Type $q$-Exponential Operator and Stieljes-Widgert Polynomials
by: López, Ronald Orozco
Published: (2025)

A degeneration of the generalized Zwegers' $μ$-function according to the Ramanujan difference equation
by: Shibukawa, G., et al.
Published: (2026)

A MacMahon Analysis View of Cylindric Partitions
by: Li, Runqiao, et al.
Published: (2025)

Antiquantum $q$-series identities and mock theta functions
by: Folsom, Amanda, et al.
Published: (2025)

Parity of the coefficients of certain eta-quotients, III: two special classes
by: Keith, William J., et al.
Published: (2024)

Elliptic curves and Fourier coefficients of meromorphic modular forms
by: Zhang, Pengcheng
Published: (2025)

Transformation properties of Andrews-Beck $NT$ functions and generalized Appell-Lerch series
by: Chen, Rong, et al.
Published: (2024)