2 papers
math.CO2024
Two new Bailey pairs and their -identities of Rogers-Ramanujan type modulo 15, 24, and 30
Jianan Xu, Xinrong Ma
In this paper, we first establish two new Bailey pairs via finding two generalizations of Euler's pentagonal number theorem. Next, we specificize the Bailey lemmas with these two B…
math.CO2024
A general -series transformation and its applications to multi-sum Rogers-Ramanujan-Slater identities
Jianan Xu, Xinrong Ma
In the present paper, we establish a general transformation for -series which contains L. Wang et al's transformation involved in Nahm series. As direct applications, some concr…