Sums of the \(k\)th divisor function of the ternary quadratic with prime variables

DOI10.1007/S11139-022-00609-WOpenAlexW4289261657WikidataQ114223555 ScholiaQ114223555MaRDI QIDQ2688351

Yuetong Zhao, Jin Jiang Li, Zhai, Wenguang

Publication date: 2 March 2023

Published in: The Ramanujan Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11139-022-00609-w

zbMATH Keywords

quadratic formcircle methodhigher divisor function

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Applications of the Hardy-Littlewood method (11P55)

Cites Work

• Sums of the triple divisor function over values of a ternary quadratic form
• Ternary quadratic form with prime variables attached to Fourier coefficients of primitive holomorphic cusp form
• On the order of Dirichlet \(L\)-functions
• On divisors of a quadratic form
• Some problems about the ternary quadratic form m₁²+m₂²+m₃²
• The sum of divisors of a quadratic form
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