{"paper":{"title":"Evaluations for zeta(2),zeta(4),...,zeta(2k)based on the WZ method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CA","math.HO"],"primary_cat":"math.CO","authors_text":"Yijun Chen","submitted_at":"2012-04-18T18:56:01Z","abstract_excerpt":"Based on the framework of the WZ theory, a new evaluation for $\\varsigma (2) = \\frac{\\pi ^2}{6}$ and $\\varsigma (4) = \\frac{\\pi ^4}{90}$ was given respectively, finally, a new recurrence formula for $\\varsigma (2k)$ was given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1204.4162","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"}