Random diophantine equations of large degree Browning, Timothy D ; https://orcid.org/0000-0002-8314-0177 Sawin, Will ddc:500 Among the set of hypersurfaces of degree d and dimension defined by the vanishing of a homogeneous polynomial with coefficients in the set {−1, +1}, we investigate the probability that a hypersurface contains a rational point as d and tend to ∞. Oxford University Press 2026 info:eu-repo/semantics/article doc-type:Article Article http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/23124 Browning TD, Sawin W. Random diophantine equations of large degree. <i>The Quarterly Journal of Mathematics</i>. 2026. doi:<a href="https://doi.org/10.1093/qmath/haag037">10.1093/qmath/haag037</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1093/qmath/haag037 info:eu-repo/semantics/altIdentifier/issn/0033-5606 info:eu-repo/semantics/altIdentifier/e-issn/1464-3847 info:eu-repo/semantics/altIdentifier/arxiv/2510.26191 info:eu-repo/semantics/openAccess