Gosper-type Lambert series identities of level 14

Russelle Guadalupe

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arXiv · 2412.18228

Gosper-type Lambert series identities of level 14

Russelle Guadalupe

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Abstract

We derive two Gosper-type Lambert series identities of level $14$ which involve the $q$-constant $\Pi_q$ using a special case of Bailey's $_6\psi_6$ summation formula and certain propeties of $\eta$-quotients and generalized $\eta$-quotients on the congruence subgroup $\Gamma_0(14)$.

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Russelle Guadalupe. 2024-12-24. Gosper-type Lambert series identities of level 14. https://arxiv.org/abs/2412.18228

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