The circle method and shifted convolution sums involving the divisor function

DOI10.1016/J.JNT.2024.03.007MaRDI QIDQ6556211

Huixue Lao, Guangwei Hu

Publication date: 17 June 2024

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

zbMATH Keywords

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Mathematics Subject Classification ID

Forms of degree higher than two (11E76) Applications of the Hardy-Littlewood method (11P55) Fourier coefficients of automorphic forms (11F30)

Cites Work

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• A note on shifted convolution of cusp-forms with \(\theta\)-series
• Jutila's circle method and \(\mathrm{GL}(2) \times \mathrm{GL}(2)\) shifted convolution sums
• A divisor problem attached to regular quadratic forms
• Lattice points in rational ellipsoids
• The average order of a class of arithmetic functions over arithmetic progressions with applications to quadratic forms.
• Cubic Forms in Ten Variables
• L-Functions of a Quadratic Form
• On divisors of a quadratic form
• On the Number of Divisors of the Quadratic Form m² + n²
• Some problems about the ternary quadratic form m₁²+m₂²+m₃²
• THE FOURIER COEFFICIENTS OF Θ‐SERIES IN ARITHMETIC PROGRESSIONS
• Quadratic Forms and Automorphic Forms
• The sum of divisors of a quadratic form
• Shifted convolution of cusp-forms with \(\theta \)-series

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