[{"dc":{"rights":["info:eu-repo/semantics/openAccess"],"source":["Shute AL. Sums of four squareful numbers. arXiv. doi:10.48550/arXiv.2104.06966"],"title":["Sums of four squareful numbers"],"relation":["info:eu-repo/semantics/altIdentifier/doi/10.48550/arXiv.2104.06966","info:eu-repo/semantics/altIdentifier/arxiv/2104.06966"],"date":["2021"],"language":["eng"],"type":["info:eu-repo/semantics/preprint","doc-type:preprint","text","http://purl.org/coar/resource_type/c_816b"],"identifier":["https://research-explorer.ista.ac.at/record/12076"],"description":["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."],"creator":["Shute, Alec L"]},"uri_base":"https://research-explorer.ista.ac.at","article_processing_charge":"No","day":"15","month":"04","citation":{"ieee":"A. L. Shute, “Sums of four squareful numbers,” arXiv. .","apa":"Shute, A. L. (n.d.). Sums of four squareful numbers. arXiv. https://doi.org/10.48550/arXiv.2104.06966","ista":"Shute AL. Sums of four squareful numbers. arXiv, 2104.06966.","chicago":"Shute, Alec L. “Sums of Four Squareful Numbers.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2104.06966.","short":"A.L. Shute, ArXiv (n.d.).","mla":"Shute, Alec L. “Sums of Four Squareful Numbers.” ArXiv, 2104.06966, doi:10.48550/arXiv.2104.06966."},"oa":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2104.06966"}],"external_id":{"arxiv":[]},"publication":"arXiv","language":[{}],"date_published":"2021-04-15T00:00:00Z","type":"preprint","article_number":"2104.06966","creator":{"id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","login":"dernst"},"abstract":[{"lang":"eng"}],"department":[{"_id":"TiBr","tree":[{"_id":"ResearchGroups"},{"_id":"IST"}]}],"status":"public","publication_status":"submitted","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","_id":"12076","oa_version":"Preprint","date_updated":"2023-02-21T16:37:30Z","dini_type":"doc-type:preprint","date_created":"2022-09-09T10:42:51Z","related_material":{"record":[{"status":"public","relation":"dissertation_contains","id":"12072"}]},"author":[{"first_name":"Alec L","last_name":"Shute","id":"440EB050-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-1812-2810"}]}]