Geodesic
An asymptotic formula related to the divisors of the quaternary quadratic form
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
Acta Arithmetica, Tome 166 (2014) no. 2, pp. 129-140 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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 
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     title = {An asymptotic formula related to the divisors of
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     journal = {Acta Arithmetica},
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     year = {2014},
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     number = {2},
     doi = {10.4064/aa166-2-2},
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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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