{"paper":{"title":"On the value distribution and moments of the Epstein zeta function to the right of the critical strip","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.NT","authors_text":"Anders S\\\"odergren","submitted_at":"2010-06-09T07:32:06Z","abstract_excerpt":"We study the Epstein zeta function $E_n(L,s)$ for $s>\\frac{n}{2}$ and determine for fixed $c>\\frac{1}{2}$ the value distribution and moments of $E_n(\\cdot,cn)$ (suitably normalized) as $n\\to\\infty$. We further discuss the random function $c\\mapsto E_n(\\cdot,cn)$ for $c\\in[A,B]$ with $\\frac{1}{2}<A<B$ and determine its limit distribution as $n\\to\\infty$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.1723","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"}