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arXiv:1908.02010 [math.CA]AbstractReferencesReviewsResources

Proofs for certain conjectures of Gosper on Pi_{q}

Bing He

Published 2019-08-06Version 1

W. Gosper in 2001 introduced the q-constant Pi_{q} and conjectured many identities involving Pi_{q} by employing empirical evidence. In this paper we first establish certain modular equations of degree 3 and then apply these modular equations to confirm some of these Pi_{q}-conjectures.

Comments: All critical comments are always welcome
Categories: math.CA, math.NT
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