The sum of divisors of a quadratic form

DOI10.4064/aa163-2-6zbMath1346.11056arXiv1401.2310OpenAlexW2963850500MaRDI QIDQ5412119

Li Lu Zhao

Publication date: 25 April 2014

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1401.2310

zbMATH Keywords

quadratic formdivisor functionHardy-Littlewood-Kloosterman method

Mathematics Subject Classification ID

Waring's problem and variants (11P05) Applications of the Hardy-Littlewood method (11P55)

Related Items (13)

Sums of the triple divisor function over values of a ternary quadratic form ⋮ Sums of the \(k\)th divisor function of the ternary quadratic with prime variables ⋮ Sums of higher divisor functions ⋮ Sums of the triple divisor function over values of a quaternary quadratic form ⋮ A note on shifted convolution of cusp-forms with \(\theta\)-series ⋮ Ternary quadratic form with prime variables attached to Fourier coefficients of primitive holomorphic cusp form ⋮ Average behavior of the triple divisor function over values of quadratic form ⋮ Shifted convolution sums of \(\mathrm{GL}(m)\) cusp forms with \(\Theta\)-series ⋮ On the sum of divisors of mixed powers in short intervals ⋮ An asymptotic formula related to the sums of divisors ⋮ Sums of the higher divisor function of diagonal homogeneous forms ⋮ A divisor problem attached to regular quadratic forms ⋮ A quadratic form with prime variables associated with Hecke eigenvalues of a cusp form

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