New Gosper's Lambert series identities of levels 12 and 16

We derive new Gosper's Lambert series identities of levels $12$ and $16$ using certain sums of generalized $η$-quotients on the genus zero congruence subgroups $Γ_0(12)$ and $Γ_0(16)$.

Publication Details

Journal
ArXiv.org
Published
2025-03-22
Primary Topic
Sports Dynamics and Biomechanics
Type
article
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article

New Gosper's Lambert series identities of levels 12 and 16

ArXiv.org
Sports Dynamics and Biomechanics
article

New Gosper's Lambert series identities of levels 12 and 16

article en

Abstract

We derive new Gosper's Lambert series identities of levels $12$ and $16$ using certain sums of generalized $η$-quotients on the genus zero congruence subgroups $Γ_0(12)$ and $Γ_0(16)$.

ArXiv.org
Openalex Percentile: Top 53%
Sports Dynamics and Biomechanics
Open Access PDFOpenAlex
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New Gosper's Lambert series identities of levels 12 and 16 · ArXiv.org (2025) | TGRS Research Map | TGRS