On q-series identities with multiple sums related to divisor functions

2024/07/31 by Aung Phone Maw, Maw, Aung Phone
Mathematics · #05A30 #11B65 #Advanced Mathematical Identities #Advanced Mathematical Theories #Combinatorics (math.CO) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2408.00807

openalex publication_date 2024/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide an exposition of q-identities with multiple sums related to divisor functions given by Dilcher, Prodinger, Fu and Lascoux, Zeng, Guo and Zhang. Meanwhile, for each of these identities, a more powerful statement will be derived through our exposition.

Related

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• On arithmetic sums involving divisor functions in two variables