Representations of integers by certain 2k-ary quadratic forms

2016/07/01 by Ye, Dongxi
#11E25 #11F11 #11F20 #11F30 #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1607.00088

Abstract

Suppose k is a positive integer. In this work, we establish formulas for for the number of representations of integers by the quadratic forms x₁²+⋯+x_k²+l(x_k+1²+⋯+x_2k²) for l∈\2,4\.

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