Certain products of sums of Lambert series

2024/08/03 by Aung Phone Maw, Maw, Aung Phone
Engineering · Physics and Astronomy · #11F11 #Experimental and Theoretical Physics Studies #FOS: Mathematics #General Mathematics (math.GM) #Sports Dynamics and Biomechanics

paper · pdf · doi:10.48550/arxiv.2408.01763

openalex publication_date 2024/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Using elementary means, we prove an identity giving the infinite product form of a sum of Lambert series originally stated by Venkatachaliengar, then rediscovered by Andrews, Lewis, and Liu. Then we derive two identities expressing certain products of sums of Lambert series.

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