{"id":"W4400030522","doi":"10.1007/978-3-031-51677-1_3","title":"Generalized Ramanujan–Sato Series Arising from Modular Forms","year":2024,"lang":"en","type":"book-chapter","venue":"Association for Women in Mathematics series","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":false,"ca_institutions":"McMaster University","funders":"","keywords":"Ramanujan's sum; Series (stratigraphy); Modular design; Mathematics; Algebra over a field; Computer science; Pure mathematics; Geology; Programming language; Paleontology","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":[0.001434579,0.0009274486,0.002020938,0.0004241866,0.0002170471,0.0004996614,0.0004926553,0.0009548183,0.0003417109],"category_scores_gemma":[0.001984058,0.0009027842,0.0005098237,0.0001276313,0.0001352273,0.0009103755,0.0003105319,0.0006616681,0.0002385356],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002762441,"about_ca_system_score_gemma":0.000124453,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000007387375,"about_ca_topic_score_gemma":0.0002218622,"domain_scores_codex":[0.9952443,0.00002977343,0.001947004,0.0007269487,0.001049188,0.00100275],"domain_scores_gemma":[0.9952915,0.00186687,0.001502922,0.0008271644,0.0003426072,0.0001689362],"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":[0.00003684104,0.00008240134,0.000006426902,0.002878599,0.0007020119,0.00001527774,0.007976097,0.00001695267,0.00008998965,0.9862409,0.001938632,0.00001587411],"study_design_scores_gemma":[0.0005985547,0.00009288459,0.000001486449,0.001219124,0.0003053414,0.000007631413,0.002251675,0.0002524928,0.0004575002,0.9632992,0.03061567,0.0008984362],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.00712959,0.0007955704,0.001140567,0.000854169,0.001305798,0.003307343,0.001752302,0.001056093,0.9826586],"genre_scores_gemma":[0.0005311565,0.0003493985,0.03172028,0.0000194821,0.0003451784,0.0007320538,0.0002248442,0.0004469522,0.9656307],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.03057971,"threshold_uncertainty_score":0.9993423,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02790233828437022,"score_gpt":0.2846981477833839,"score_spread":0.2567958094990137,"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."}}