Journal
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
Volume 532, Issue 2, Pages -Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2023.127920
Keywords
Congruence; Cyclotomic polynomial; q-binomial coefficient; Basic hypergeometric series
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In this paper, we investigate q-congruences on double basic hypergeometric sums and confirm several conjectures proposed by Zhi-Wei Sun using the 'creative microscoping' method and summation and transformation formulas for basic hypergeometric series.
In this paper, we study some q-congruences on double basic hypergeometric sums. With the help of 'creative microscoping' method and several summation and transformation formulas for basic hypergeometric series, we confirmed several conjectures posed by Zhi-Wei Sun. (c) 2023 Elsevier Inc. All rights reserved.
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