Sums of higher divisor functions

DOI10.1016/J.JNT.2020.08.009zbMath1466.11065OpenAlexW3084780222MaRDI QIDQ2212652

Guangshi Lü, Guangwei Hu

Publication date: 24 November 2020

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2020.08.009

zbMATH Keywords

quadratic formcircle methodhigher divisor function

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Asymptotic results on arithmetic functions (11N37) Applications of the Hardy-Littlewood method (11P55)

Related Items (2)

Sums of the higher divisor function of diagonal homogeneous forms ⋮ A quadratic form with prime variables associated with Hecke eigenvalues of a cusp form

Cites Work

• Sums of the triple divisor function over values of a ternary quadratic form
• The divisor problem for arithmetic progressions with small modulus
• A Brun-Titschmarsh theorem for multiplicative functions.
• Writing Integers as Sums of Products
• On divisors of a quadratic form
• Sums of the triple divisor function over values of a quaternary quadratic form
• Some problems about the ternary quadratic form m₁²+m₂²+m₃²
• The sum of divisors of a quadratic form
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