{"id":"W6901738010","doi":"10.60692/g88qc-2nt26","title":"On the Irrationality of a Divisor Function Series","year":2007,"lang":"en","type":"article","venue":"Greater South Information System","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of Toronto","funders":"","keywords":"Conjecture; Series (stratigraphy); Prime (order theory); Divisor (algebraic geometry); Function (biology); Irrationality; Lexicographical order","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":[0.001012788,0.0001174805,0.0001797669,0.0001047396,0.0001255756,0.00005195316,0.0001170342,0.00005881492,0.00006779181],"category_scores_gemma":[0.0003675651,0.00007289049,0.00006938979,0.0001528393,0.00006320507,0.0005992543,0.00003541934,0.00007471967,0.0002302807],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00006257964,"about_ca_system_score_gemma":0.00001290792,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001030125,"about_ca_topic_score_gemma":4.870973e-7,"domain_scores_codex":[0.9986359,0.00004134119,0.0006891561,0.00006815141,0.0004190095,0.0001464806],"domain_scores_gemma":[0.9988315,0.0001713502,0.0004130721,0.0003354033,0.0002157031,0.00003298791],"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":[0.00008845904,0.000004248977,0.001159251,0.0005877876,0.00003162459,2.958078e-7,0.01967259,0.00001508719,0.000003669213,0.9780962,0.0003120713,0.00002868159],"study_design_scores_gemma":[0.002760573,0.0006412456,0.08120821,0.001789338,0.0002908104,0.0001086186,0.2314235,0.001466492,0.01787591,0.6603659,0.0009173969,0.001151991],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5580649,7.082267e-7,0.4147876,0.00008278204,0.0002429602,0.000456287,0.00003661021,0.0001696233,0.02615849],"genre_scores_gemma":[0.9979196,1.867819e-8,0.00116705,0.00005958915,0.00003675889,0.00003188022,0.000003445009,0.000007550962,0.0007741216],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4398547,"threshold_uncertainty_score":0.2972388,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0777264932165829,"score_gpt":0.2639945636903819,"score_spread":0.186268070473799,"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."}}