Congruences with <i>q</i>-harmonic numbers and <i>q</i>-binomial coefficients
INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS, vol.55, no.2, pp.639-648, 2024 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 55 Issue: 2
- Publication Date: 2024
- Doi Number: 10.1007/s13226-023-00401-6
- Journal Name: INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, INSPEC, zbMATH
- Page Numbers: pp.639-648
- Bursa Uludag University Affiliated: Yes
Abstract
In this paper, we show the congruences Sigma(p-1)(k=m) q(k) [(k)(m)]q (H) over tilde (k,2) (q) (mod[p](q)(2) and Sigma(p-1)(k=m) q(k)[(k)(m)](q) (H) over tilde (2)(k)(q) (mod [p](q)(2) with a prime number p > 2 and m = 0, 1, 2,.., p - 1.