{"id":"W4386404993","doi":"","title":"New families of double hypergeometric series for constants involving $\\frac{1}{\\pi^2}$","year":2020,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Pi; Series (stratigraphy); Mathematics; Hypergeometric distribution; Hypergeometric function; Constant (computer programming); Combinatorics; Pure mathematics; Computer science; Geometry","routes":{"ca_aff":true,"ca_fund":false,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":false},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.003173637,0.0003707426,0.0008561845,0.0003302039,0.0002356781,0.0002106678,0.0009030431,0.0003257153,0.0004548143],"category_scores_gemma":[0.007438705,0.0003674742,0.0003646228,0.0006578562,0.0001821035,0.0001381037,0.0009834679,0.0004120523,0.00002274376],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0000706642,"about_ca_system_score_gemma":0.0005213838,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005508215,"about_ca_topic_score_gemma":0.0004466467,"domain_scores_codex":[0.9967378,0.0009366433,0.001002956,0.0005862161,0.0004017829,0.00033456],"domain_scores_gemma":[0.9901867,0.005480803,0.0008047322,0.001596168,0.001693024,0.0002385804],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"theoretical_or_conceptual","study_design_scores_codex":[0.00006854586,0.0003211646,0.0002615127,0.002207768,0.0001990058,9.851072e-7,0.006259528,0.000008149781,0.002609183,0.9640347,0.01585752,0.008171979],"study_design_scores_gemma":[0.002501833,0.000004385109,0.0001840546,0.005069421,0.0004707987,0.00001376411,0.001259388,0.004315282,0.187976,0.7451927,0.05185695,0.001155348],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"methods","genre_scores_codex":[0.06390028,0.002580173,0.8318636,0.01163134,0.0007785152,0.002379554,0.0005183874,0.000500102,0.08584808],"genre_scores_gemma":[0.2916851,0.001209636,0.6824331,0.00008631155,0.000105213,0.000210766,0.0003129221,0.0001305381,0.02382636],"genre_candidate":"methods","genre_consensus":"methods","teacher_disagreement_score":0.2277848,"threshold_uncertainty_score":0.9998778,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0594074068366344,"score_gpt":0.2827033668978288,"score_spread":0.2232959600611944,"validation_status":"score_only:v0-immature-baseline","note":"Baseline scores from an immature model (maturity gate not passed). Scores rank; they never assert a category."}}