Proof for a \(\Pi_q\)-identity of Gosper (Q2221784)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Proof for a \(\Pi_q\)-identity of Gosper |
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Proof for a \(\Pi_q\)-identity of Gosper (English)
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2 February 2021
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The constant \(\prod_{q}\) was first introduced by \textit{R. W. Gosper} [Dev. Math. 4, 79--105 (2001; Zbl 1058.33017)]. He conjectured many interesting identities on this constant. In this paper, the author proves one of these \(\prod_{q}\)-identities applying the theory of modular forms.
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\(\prod_{q}\)-identity
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modular form
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Lambert series
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