Zobrazeno 1 - 10 of 132 pro vyhledávání: '"Victor J. W. Guo"'
1
Akademický článek
Some New q-Congruences for Truncated Basic Hypergeometric Series
Autor: Victor J. W. Guo, Michael J. Schlosser
Publikováno v: Symmetry, Vol 11, Iss 2, p 268 (2019)
We provide several new q-congruences for truncated basic hypergeometric series, mostly of arbitrary order. Our results include congruences modulo the square or the cube of a cyclotomic polynomial, and in some instances, parametric generalizations the
Externí odkaz: https://doaj.org/article/751b84340b984a5da97ffc6a6bf6f9c1
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2
Akademický článek
A generalization of Mehta-Wang determinant and Askey-Wilson polynomials
Autor: Victor J. W. Guo, Masao Ishikawa, Hiroyuki Tagawa, Jiang Zeng
Publikováno v: Discrete Mathematics & Theoretical Computer Science, Vol DMTCS Proceedings vol. AS,..., Iss Proceedings (2013)
Motivated by the Gaussian symplectic ensemble, Mehta and Wang evaluated the $n×n$ determinant $\det ((a+j-i)Γ (b+j+i))$ in 2000. When $a=0$, Ciucu and Krattenthaler computed the associated Pfaffian $\mathrm{Pf}((j-i)Γ (b+j+i))$ with an application
Externí odkaz: https://doaj.org/article/e5b0ccd2a042472fb5b3f14a4b67039a
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5
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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8
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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