An asymptotic formula related to the divisors of the quaternary quadratic form
Volume 166 / 2014
Acta Arithmetica 166 (2014), 129-140
MSC: 11E20, 11N37, 11N32.
DOI: 10.4064/aa166-2-2
Abstract
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.
