Sums of four squareful numbers

preprint Sums of four squareful numbers draft Alec L Shute author 440EB050-F248-11E8-B48F-1D18A9856A870000-0002-1812-2810 TiBr department 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. 2021 eng arXiv 2104.0696610.48550/arXiv.2104.06966 https://research-explorer.ista.ac.at/record/12072 A.L. Shute, ArXiv (n.d.). Shute, Alec L. “Sums of Four Squareful Numbers.” ArXiv, 2104.06966, doi:<a href="https://doi.org/10.48550/arXiv.2104.06966">10.48550/arXiv.2104.06966</a>. Shute, A. L. (n.d.). Sums of four squareful numbers. arXiv. <a href="https://doi.org/10.48550/arXiv.2104.06966">https://doi.org/10.48550/arXiv.2104.06966</a> Shute, Alec L. “Sums of Four Squareful Numbers.” ArXiv, n.d. <a href="https://doi.org/10.48550/arXiv.2104.06966">https://doi.org/10.48550/arXiv.2104.06966</a>. Shute AL. Sums of four squareful numbers. arXiv. doi:<a href="https://doi.org/10.48550/arXiv.2104.06966">10.48550/arXiv.2104.06966</a> Shute AL. Sums of four squareful numbers. arXiv, 2104.06966. A. L. Shute, “Sums of four squareful numbers,” arXiv. . 120762022-09-09T10:42:51Z2026-08-06T11:08:48Z