{"paper":{"title":"On a Diophantine problem with one prime, two squares of primes and $s$ powers of two","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Alessandro Languasco, Valentina Settimi","submitted_at":"2011-03-10T10:33:59Z","abstract_excerpt":"We refine a result of W.P. Li and Wang on the values of the form $ \\lambda_1p_1 + \\lambda_2p_2^{2} + \\lambda_3p_3^{2} + \\mu_1 2^{m_1} +...+ \\mu_s 2^{m_s}, $ where $p_1,p_2,p_3$ are prime numbers, $m_1,..., m_s$ are positive integers, $\\lambda_1,\\lambda_2,\\lambda_{3}$ are nonzero real numbers, not all of the same sign,$\\lambda_2 / \\lambda_3$ is irrational and $\\lambda_i/\\mu_i \\in \\Q$, for $i\\in\\{1,2,3\\}$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1103.1985","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}