Zobrazeno 1 - 10 of 132 pro vyhledávání: '"Victor J W, Guo"'
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A NEW -ANALOGUE OF VAN HAMME’S (A.2) SUPERCONGRUENCE
Autor: Victor J. W. Guo
Publikováno v: Bulletin of the Australian Mathematical Society. 107:22-30
We give a new q-analogue of the (A.2) supercongruence of Van Hamme. Our proof employs Andrews’ multiseries generalisation of Watson’s $_{8}\phi _{7}$ transformation, Andrews’ terminating q-analogue of Watson’s $_{3}F_{2}$ summation, a q-Watso
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::0c4a0aa14d5ebba7b383fd8e85692a15
https://doi.org/10.1017/s0004972722000478
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6
Some q-supercongruences related to Swisher’s (H.3) conjecture
Autor: Jian-Ping Fang, Victor J. W. Guo
Publikováno v: International Journal of Number Theory. 18:1417-1427
We first give a [Formula: see text]-analogue of a supercongruence of Sun, which is a generalization of Van Hamme’s (H.2) supercongruence for any prime [Formula: see text]. We also give a further generalization of this [Formula: see text]-supercongr
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::523782577db4a139c7572b95c1ee2ed6
https://doi.org/10.1142/s1793042122500725
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10
q-Supercongruences from squares of basic hypergeometric series
Autor: Victor J. W. Guo, Long Li
Publikováno v: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas. 117
We give some new $q$-supercongruences on truncated forms of squares of basic hypergeometric series. Most of them are modulo the cube of a cyclotomic polynomial, and two of them are modulo the fourth power of a cyclotomic polynomial. The main ingredie
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f4040d0636a1e128ec1aa5808ee5f85a
https://doi.org/10.1007/s13398-022-01364-9
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