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Mathematics > Number Theory

arXiv:2406.02954 (math)
[Submitted on 5 Jun 2024 ]

Title: A remarkable basic hypergeometric identity

Title: 一个显著的基本超几何恒等式

Authors:Christian Krattenthaler, Wadim Zudilin
Abstract: We give a closed form for $quotients$ of truncated basic hypergeometric series where the base $q$ is evaluated at roots of unity.
Abstract: 我们给出截断的基本超几何级数$quotients$的闭合形式,其中底数$q$在单位根处求值。
Comments: $1+2+\dots+N = 1\cdot2\dotsb N$ pages
Subjects: Number Theory (math.NT) ; Mathematical Physics (math-ph); Classical Analysis and ODEs (math.CA); Combinatorics (math.CO)
MSC classes: 11A07, 11B65, 11R18, 33D15, 33F10
Cite as: arXiv:2406.02954 [math.NT]
  (or arXiv:2406.02954v1 [math.NT] for this version)
  https://doi.org/10.48550/arXiv.2406.02954
arXiv-issued DOI via DataCite
Journal reference: Ramanujan J. 66:3 (2025) Article 48
Related DOI: https://doi.org/10.1007/s11139-024-00994-4
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Submission history

From: Wadim Zudilin [view email]
[v1] Wed, 5 Jun 2024 05:23:23 UTC (5 KB)
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