Gosper's Lambert series identities of level $14$
Russelle Guadalupe

TL;DR
This paper derives two new Lambert series identities at level 14 involving the q-constant Pi_q, utilizing Bailey's summation and properties of eta-quotients on the subgroup Gamma_0(14).
Contribution
It introduces novel Lambert series identities at level 14, expanding the understanding of q-series and eta-quotients related to modular forms.
Findings
Derived two Lambert series identities of level 14 involving Pi_q.
Utilized Bailey's $_6 ext{-} ext{psi}_6$ summation formula.
Analyzed properties of eta-quotients on Gamma_0(14).
Abstract
We derive two Gosper's Lambert series identities of level which involve the -constant using a special case of Bailey's summation formula and certain propeties of -quotients and generalized -quotients on the congruence subgroup .
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Taxonomy
TopicsSports Dynamics and Biomechanics · Spreadsheets and End-User Computing · Experimental and Theoretical Physics Studies
