{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002248732,0.0005577227,0.0009110373,0.001635692,0.00207775,0.003024756,0.0007102296,0.0007143383,0.006470867],"category_scores_gemma":[0.006404629,0.0002876927,0.0006302389,0.001113247,0.006338567,0.004942038,0.002433716,0.003353254,0.001453882],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00121259,"about_ca_system_score_gemma":0.0004674844,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005356694,"about_ca_topic_score_gemma":0.0003023663,"domain_scores_codex":[0.9988881,0.0002620417,0.00006092689,0.00019737,0.0003509633,0.0002406437],"domain_scores_gemma":[0.9973487,0.001245702,0.0002707754,0.0004932002,0.0003580961,0.0002836346],"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":[0.00004707641,0.000009064904,0.0003596525,0.00001608658,0.00000287697,0.000139766,0.0002799745,0.0005402283,0.0005382238,0.9943256,0.0008900465,0.00285156],"study_design_scores_gemma":[0.00001231295,0.00002581208,0.0003353957,0.00001674913,0.00001099325,0.0002982323,0.0001364756,0.003960505,0.001193867,0.9877973,0.006194383,0.00001790104],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5440993,0.002252693,0.1278682,0.007354596,0.001262388,0.00003510591,0.0001703161,0.0005557589,0.3164017],"genre_scores_gemma":[0.97511,0.0007638502,0.006891786,0.0003414381,0.000507999,0.00002005367,0.00007413011,0.0001108883,0.01617983],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006470867,"threshold_uncertainty_score":0.02164716,"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."}}