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

• Autorzy: Liqun Hu
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 11N37: Asymptotic results on arithmetic functions
• 11N32: Primes represented by polynomials; other multiplicative structure of polynomial values
• 11E20: General ternary and quaternary quadratic forms; forms of more than two variables

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2014
• Tom: 166
• Numer: 2
• Strony: 129-140

Daty

wydano

2014

Twórcy

autor

Liqun Hu

• Department of Mathematics, Shandong University, Jinan, Shandong 250100, P.R. China
• Department of Mathematics, Nanchang University, Nanchang, Jiangxi 330031, P.R. China

Identyfikatory

DOI

10.4064/aa166-2-2