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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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