{"id":"W4362606755","doi":"10.5539/jmr.v15n2p31","title":"Relation Between the Golden Ratio Phi and Zeta Function SUM","year":2023,"lang":"en","type":"article","venue":"Journal of Mathematics Research","topic":"Advanced Mathematical Theories and Applications","field":"Physics and Astronomy","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"","keywords":"Golden ratio; Mathematics; Riemann zeta function; Relation (database); Function (biology); Prime (order theory); Combinatorics; Plane (geometry); Series (stratigraphy); Pure mathematics; Geometry","routes":{"ca_aff":false,"ca_fund":false,"ca_venue":true,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002125288,0.00006666694,0.0001592571,0.0001033618,0.0002892232,0.00008500797,0.0001770673,0.00002706179,0.0001028076],"category_scores_gemma":[0.0001267182,0.00004056692,0.00005938274,0.000413432,0.0001158586,0.0001446863,0.00009008992,0.000373252,0.00008773332],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001543784,"about_ca_system_score_gemma":0.00003363663,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00000201659,"about_ca_topic_score_gemma":1.82342e-7,"domain_scores_codex":[0.9988698,0.00007295013,0.0003589929,0.00007374576,0.0004419934,0.0001825319],"domain_scores_gemma":[0.9978896,0.001431326,0.0001789452,0.0001875097,0.0002418752,0.00007076326],"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":[0.000007022135,0.0000696242,0.001365224,0.0000561178,0.0000895088,6.913396e-7,0.0008654304,0.00008999887,0.0008807154,0.9829792,0.003981542,0.009614921],"study_design_scores_gemma":[0.0001875124,0.00005968408,0.002277637,0.00005053326,0.00003161302,0.000002487106,0.002839093,0.001851936,0.0003150208,0.9874299,0.004902964,0.0000516582],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5042502,0.0001064514,0.4745634,0.005460246,0.0001276493,0.0006273161,0.00001671713,0.00003340503,0.01481463],"genre_scores_gemma":[0.9953786,0.00002742385,0.002389339,0.000005100452,0.0004990092,0.00001671497,0.000004787152,0.00001522203,0.001663811],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.4911284,"threshold_uncertainty_score":0.22245,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1083722855403531,"score_gpt":0.4090907378277757,"score_spread":0.3007184522874227,"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."}}