On the Number of Divisors of the Quadratic Form m2 + n2

DOI10.4153/CMB-2000-032-3zbMath0959.11042MaRDI QIDQ4498151

Gang Yu

Publication date: 29 April 2001

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

asymptotic formulanumber of divisors of quadratic form

Mathematics Subject Classification ID

Estimates on exponential sums (11L07) Asymptotic results on arithmetic functions (11N37) Lattice points in specified regions (11P21)

Related Items (8)

A note on the number of divisors of forms \(m^2+Nn^2\) ⋮ Sums of the triple divisor function over values of a ternary quadratic form ⋮ An asymptotic formula related to the divisors of the quaternary quadratic form ⋮ Sums of the triple divisor function over values of a quaternary quadratic form ⋮ On the average sum of the \(k\) th divisor function over values of quadratic polynomials ⋮ On the sum of divisors of mixed powers in short intervals ⋮ An asymptotic formula related to the sums of divisors ⋮ A divisor problem attached to regular quadratic forms

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