期刊
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS
卷 27, 期 1, 页码 16-25出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/10236198.2020.1862808
关键词
Basic hypergeometric series; supercongruence; q-congruence; cyclotomic polynomial
资金
- Natural Science Foundation of the Jiangsu Higher Education Institutions of China [19KJB110006]
Researchers Guo and Zudilin introduced a method called 'creative microscoping' to establish q-supercongruences for truncated basic hypergeometric series, and El Bachraoui applied this method to derive supercongruences for truncated squares of basic hypergeometric series. Inspired by their work, the authors of this paper present three additional q-supercongruences.
Guo and Zudilin devised a method called 'creative microscoping' to establish many q-supercongruences for truncated basic hypergeometric series. Recently, El Bachraoui utilized the method of creative microscoping to derive some supercongruences for truncated squares of basic hypergeometric series. In this paper, motivated by their work, we give three more such q-supercongruences.
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