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Holonomic alchemy and series for \(1/\pi \). (English) Zbl 1391.11165

Andrews, George E. (ed.) et al., Analytic number theory, modular forms and \(q\)-hypergeometric series. In honor of Krishna Alladi’s 60th birthday, University of Florida, Gainesville, FL, USA, March 17–21, 2016. Cham: Springer (ISBN 978-3-319-68375-1/hbk; 978-3-319-68376-8/ebook). Springer Proceedings in Mathematics & Statistics 221, 179-205 (2017).
Summary: We adopt the “translation” as well as other techniques to express several identities conjectured by Z.-W. Sun by means of known formulas for \(1/\pi \) involving Domb and other Apéry-like sequences.
For the entire collection see [Zbl 1388.11003].

MSC:

11Y60 Evaluation of number-theoretic constants
11F11 Holomorphic modular forms of integral weight
11B65 Binomial coefficients; factorials; \(q\)-identities
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