On a conjecture for representations of integers as sums of squares and double shuffle relations

2011/12/24 by Koji Tasaka, Tasaka, Koji
Mathematics · #11D85 #11M32 #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #math.NT #msc:11D85 #msc:11M32

paper · pdf · doi:10.48550/arxiv.1112.5696

15 pages

openalex publication_date 2011/12/24 · arxiv created 2012/01/17 · arxiv updated 2012/01/18 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

In this paper, we prove a conjecture of Chan and Chua for the number of representations of integers as sums of 8s integral squares. The proof uses a theorem of Imamoglu and Kohnen, and the double shuffle relations satisfied by the double Eisenstein series of level 2.

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