Geodesic
An asymptotic formula related to the divisors of the quaternary quadratic form
Liqun Hu1
1Department of Mathematics Shandong University Jinan, Shandong 250100, P.R. China and Department of Mathematics Nanchang University Nanchang, Jiangxi 330031, P.R. China
Acta Arithmetica, Tome 166 (2014) no. 2, pp. 129-140

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

DOI

Let $d(n)$ stand for the Dirichlet divisor function. We give an asymptotic formula for $$\sum _{1\leq m_1,m_2,m_3,m_4\leq x}d(m_1^2+m_2^2+m_3^2+m_4^2)$$ with the help of the circle method.
DOI : 10.4064/aa166-2-2
Keywords: stand dirichlet divisor function asymptotic formula sum leq leq help circle method

Liqun Hu  1

1 Department of Mathematics Shandong University Jinan, Shandong 250100, P.R. China and Department of Mathematics Nanchang University Nanchang, Jiangxi 330031, P.R. China 
Liqun Hu. An asymptotic formula related to the divisors of
 the quaternary quadratic form. Acta Arithmetica, Tome 166 (2014) no. 2, pp. 129-140. doi: 10.4064/aa166-2-2
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