{"paper":{"title":"Newman's conjecture in various settings","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Alan Chang, Julio Andrade, Steven J. Miller","submitted_at":"2013-10-13T12:47:43Z","abstract_excerpt":"De Bruijn and Newman introduced a deformation of the Riemann zeta function $\\zeta(s)$, and found a real constant $\\Lambda$ which encodes the movement of the zeros of $\\zeta(s)$ under the deformation. The Riemann hypothesis (RH) is equivalent to $\\Lambda \\le 0$. Newman made the conjecture that $\\Lambda \\ge 0$ along with the remark that \"the new conjecture is a quantitative version of the dictum that the Riemann hypothesis, if true, is only barely so.\"\n  Newman's conjecture is still unsolved, and previous work could only handle the Riemann zeta function and quadratic Dirichlet $L$-functions, obt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1310.3477","kind":"arxiv","version":1},"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"}