4.3 Article

Some q-supercongruences for truncated forms of squares of basic hypergeometric series

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TAYLOR & FRANCIS LTD
DOI: 10.1080/10236198.2020.1862808

关键词

Basic hypergeometric series; supercongruence; q-congruence; cyclotomic polynomial

资金

  1. Natural Science Foundation of the Jiangsu Higher Education Institutions of China [19KJB110006]

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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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