3 papers
math.NT2026
-Analogues of some supercongruences related to generalized Van Hamme-type supercongruences
Liton Karmakar
Recently, Jana and Kalita (Res. Number Theory Article ) obtained certain supercongruences motivated by some generalized Van Hamme type supercongruences, s…
math.NT2026
A -Analogue of a Supercongruence Related to Van Hamme's (B.2) Supercongruence
Liton Karmakar, Arijit Jana
Motivated by the recent work of Li and Wang on parametric generalizations of Van Hamme's supercongruence in the -setting, we establish -analogues of a supercongruence…
math.NT2025
Generalizations of two hypergeometric sums related to conjectures of Guo
Arijit Jana, Liton Karmakar
In 2021, the first author and Kalita obtained two general hypergeometric formulas for sums involving certain rising factorials to prove some supercongruence conjectures of Guo rela…