Number Theory


On Certain Pi_{q}-Identities of W. Gosper

Authors: Bing He

In this paper we employ some knowledge of modular equations with degree 5 to confirm several of Gosper's Pi_{q}-identities. As a consequence, a q-identity involving Pi_{q} and Lambert series, which was conjectured by Gosper, is proved. As an application, we confirm an interesting q-trigonometric identity of Gosper.

Comments: 16 Pages. All comments are welcome

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Submission history

[v1] 2019-08-14 10:11:12

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