2 papers
math.GM2026
Extensions of several famous combinatorial identities via hypergeometric functions
Arjun Kumar Rathie, Feng Qi, Dongkyu Lim
The objective of this paper is to develop an extension of Kummer's second theorem and to establish generalized forms of four classical combinatorial identities---Knuth's old sum (a…
math.NT2026
Hodge-Newton indecomposability and a combinatorial identity
Dong Gyu Lim
We present a simple alternative viewpoint on Hodge-Newton indecomposability, illustrating its explanatory value through a uniform proof of a combinatorial identity arising from aff…