Representations by sexternary quadratic forms with coefficients 1,2,5 and 10

2022/07/12 by Bülent Köklüce, Köklüce, Bülent
Mathematics · #11E20 #11F11 #11F20 #11F27 #Advanced Algebra and Geometry #Advanced Mathematical Identities #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.2207.05638

openalex publication_date 2022/07/12 · openalex created_date 2022/07/15 · openalex updated_date 2026/07/28

Abstract

In this article, we find bases for the spaces of modular forms M₃(Γ₀(40),( (d)/(⋅ )) ) for d=-4,-8,-20 and -40. We then derive formulas for the number of representations of a positive integer by all the diagonal sextenary quadratic forms with coefficients % 1,2,5 and 10.

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