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arXiv · 2601.11392

The divisor function along sums of two biquadrates

Wing Hong Leung·Mayank Pandey
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Abstract

We establish power saving asymptotics for the sum of the divisor function along a binary quartic form, improving on work of Daniel. The proof involves an application of a recent two dimensional delta method due to Li, Rydin-Myerson, and Vishe and an exploitation of $\mathrm{GL}_2$ automorphic forms arising from the factorization of varying cubic Dedekind zeta functions.

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Wing Hong Leung, Mayank Pandey. 2026-01-16. The divisor function along sums of two biquadrates. https://arxiv.org/abs/2601.11392

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