Cusp Forms in 𠑆 𠟒 ( Γ 𠟎 ( 𠟒 𠟕 ) ) and the Number of Representations of Positive Integers by Some Direct Sum of Binary Quadratic Forms with Discriminant − 𠟒 𠟕

Barış Kendirli

International Journal of Mathematics and Mathematical Sciences, 2012, vol. 2012, 1-10

Abstract:

A basis of 𠑆 4 ( Γ 0 ( 4 7 ) ) is given and the formulas for the number of representations of positive integers by some direct sum of the quadratic forms 𠑥 2 1 + 𠑥 1 𠑥 2 + 1 2 𠑥 2 2 , 2 𠑥 2 1 ± 𠑥 1 𠑥 2 + 6 𠑥 2 2 , 3 𠑥 2 1 ± 𠑥 1 𠑥 2 + 4 𠑥 2 2 are determined.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:303492

DOI: 10.1155/2012/303492

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