An asymptotic formula related to the divisors of the quaternary quadratic form

@article{LiqunHu2014,
abstract = {Let d(n) stand for the Dirichlet divisor function. We give an asymptotic formula for $∑_\{1≤m₁,m₂,m₃,m₄≤x\} d(m₁²+m₂²+m₃²+m₄²)$ with the help of the circle method.},
author = {Liqun Hu},
journal = {Acta Arithmetica},
keywords = {circle method; divisor problem; quadratic form},
language = {eng},
number = {2},
pages = {129-140},
title = {An asymptotic formula related to the divisors of the quaternary quadratic form},
url = {http://eudml.org/doc/279363},
volume = {166},
year = {2014},
}

TY - JOUR
AU - Liqun Hu
TI - An asymptotic formula related to the divisors of the quaternary quadratic form
JO - Acta Arithmetica
PY - 2014
VL - 166
IS - 2
SP - 129
EP - 140
AB - Let d(n) stand for the Dirichlet divisor function. We give an asymptotic formula for $∑_{1≤m₁,m₂,m₃,m₄≤x} d(m₁²+m₂²+m₃²+m₄²)$ with the help of the circle method.
LA - eng
KW - circle method; divisor problem; quadratic form
UR - http://eudml.org/doc/279363
ER -