Sums of the higher divisor function of diagonal homogeneous forms

DOI10.1007/S11139-022-00579-ZzbMath1498.11200OpenAlexW4280569915MaRDI QIDQ2084558

Guang-Liang Zhou, Yuchen Ding

Publication date: 18 October 2022

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

Full work available at URL: https://doi.org/10.1007/s11139-022-00579-z

zbMATH Keywords

circle methodhigher divisor function

Mathematics Subject Classification ID

Forms of degree higher than two (11E76) 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
• On the representation of a number as the sum of a square and a product
• Sums of higher divisor functions
• On the number of divisors of quadratic polynomials
• Ramanujan sums and the average value of arithmetic functions
• 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
• Some problems about the ternary quadratic form m₁²+m₂²+m₃²
• The sum of divisors of a quadratic form
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