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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2601.11392 |
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| _version_ | 1866909992672559104 |
|---|---|
| author | Leung, Wing Hong Pandey, Mayank |
| author_facet | Leung, Wing Hong Pandey, Mayank |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_11392 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The divisor function along sums of two biquadrates Leung, Wing Hong Pandey, Mayank Number Theory 11D45 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. |
| title | The divisor function along sums of two biquadrates |
| topic | Number Theory 11D45 |
| url | https://arxiv.org/abs/2601.11392 |