3 papers
math.CO2025
Combinatorial interpretation of a truncated identity of Gauss
Thomas Y. He, S. Y. Liu
In 2012, Andrews and Merca proved a truncated theorem on Euler's pentagonal number theorem, which opened up a new study on truncated theta series. In particular, some truncated ver…
math.CO2024
Three types of the minimal excludant size of an overpartition
Thomas Y. He, C. S. Huang, H. X. Li +1
Recently, Andrews and Newman studied the minimal excludant of a partition, which is defined as the smallest positive integer that is not a part of a partition. In this article, we…
math.CO2024
Separable integer partition classes and partitions with congruence conditions
Thomas Y. He, C. S. Huang, H. X. Li +1
In this article, we first investigate the partitions whose parts are congruent to or modulo with the aid of separable integer partition classes with modulus introdu…