Sums of four squareful numbers
Shute AL. Sums of four squareful numbers. arXiv, 2104.06966.
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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.
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2021-04-15
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arXiv
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2104.06966
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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.
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