Sums of four squareful numbers

Shute AL. Sums of four squareful numbers. arXiv, 2104.06966.

Download (ext.)

Preprint | Submitted | English
Department
Abstract
We find an asymptotic formula for the number of primitive vectors $(z_1,\ldots,z_4)\in (\mathbb{Z}_{\neq 0})^4$ such that $z_1,\ldots, z_4$ are all squareful and bounded by $B$, and $z_1+\cdots + z_4 = 0$. Our result agrees in the power of $B$ and $\log B$ with the Campana-Manin conjecture of Pieropan, Smeets, Tanimoto and V\'{a}rilly-Alvarado.
Publishing Year
Date Published
2021-04-15
Journal Title
arXiv
Article Number
2104.06966
IST-REx-ID

Cite this

Shute AL. Sums of four squareful numbers. arXiv. doi:10.48550/arXiv.2104.06966
Shute, A. L. (n.d.). Sums of four squareful numbers. arXiv. https://doi.org/10.48550/arXiv.2104.06966
Shute, Alec L. “Sums of Four Squareful Numbers.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2104.06966.
A. L. Shute, “Sums of four squareful numbers,” arXiv. .
Shute AL. Sums of four squareful numbers. arXiv, 2104.06966.
Shute, Alec L. “Sums of Four Squareful Numbers.” ArXiv, 2104.06966, doi:10.48550/arXiv.2104.06966.
All files available under the following license(s):
Copyright Statement:
This Item is protected by copyright and/or related rights. [...]

Link(s) to Main File(s)
Access Level
OA Open Access

Export

Marked Publications

Open Data ISTA Research Explorer

Sources

arXiv 2104.06966

Search this title in

Google Scholar