{"id":"W3099928391","doi":"","title":"Small value estimates for the multiplicative group","year":2016,"lang":"en","type":"article","venue":"","topic":"Meromorphic and Entire Functions","field":"Mathematics","cited_by":3,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Multiplicative function; Multiplicative group; Group (periodic table); Context (archaeology); Sequence (biology); Combinatorics; Field (mathematics); Value (mathematics); Pure mathematics; Statistics; Mathematical analysis","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":[],"consensus_categories":[],"category_scores_codex":[0.0001843102,0.00007051545,0.00008148032,0.00001127811,0.0001414228,0.00001047539,0.0001188752,0.00002987952,0.0003659226],"category_scores_gemma":[0.0005527749,0.00002793391,0.00006255403,0.00003442602,0.0000544992,0.00002869245,0.00002869951,0.00002385182,0.0001060801],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001220937,"about_ca_system_score_gemma":0.000006984324,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002169667,"about_ca_topic_score_gemma":0.00003092752,"domain_scores_codex":[0.9995818,0.00001056277,0.0001106384,0.0001142272,0.00005223415,0.0001305655],"domain_scores_gemma":[0.9962741,0.003358074,0.0000396928,0.0002553462,0.00004197357,0.00003086162],"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":[0.00001314236,0.00006030608,0.0003084558,0.0000154903,0.00006813464,1.270414e-7,0.000128596,5.872736e-7,0.001986733,0.9543176,0.03419641,0.008904381],"study_design_scores_gemma":[0.001322597,0.0001398065,0.002169909,0.00006151866,0.0002197349,0.0000087611,0.0003463072,0.005984176,0.007094931,0.9253096,0.05709688,0.0002457578],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.004966914,0.00002891119,0.9861751,0.002991099,0.0001554953,0.0004090777,0.0000136167,0.0001161633,0.005143667],"genre_scores_gemma":[0.569402,0.00002823797,0.3762443,0.0004805881,0.0002954351,0.0009215886,0.000005378768,0.00005269977,0.05256977],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.6099308,"threshold_uncertainty_score":0.4006596,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1454034930142359,"score_gpt":0.3150153952475253,"score_spread":0.1696119022332894,"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."}}