An asymptotic formula related to the divisors of the quaternary quadratic form
Liqun Hu
Acta Arithmetica, Tome 166 (2014), p. 129-140 / Harvested from The Polish Digital Mathematics Library
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Let d(n) stand for the Dirichlet divisor function. We give an asymptotic formula for ∑1≤m₁,m₂,m₃,m₄≤xd(m₁²+m₂²+m₃²+m₄²) with the help of the circle method.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:279363 
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     author = {Liqun Hu},
     title = {An asymptotic formula related to the divisors of the quaternary quadratic form},
     journal = {Acta Arithmetica},
     volume = {166},
     year = {2014},
     pages = {129-140},
     zbl = {1329.11105},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa166-2-2}
}

Liqun Hu. An asymptotic formula related to the divisors of the quaternary quadratic form. Acta Arithmetica, Tome 166 (2014) pp. 129-140. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-aa166-2-2/