{"id":"W2976693297","doi":"","title":"An Analogue of Ramanujan's Master Theorem","year":2018,"lang":"en","type":"preprint","venue":"HAL (Le Centre pour la Communication Scientifique Directe)","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":true,"ca_institutions":"York University","funders":"","keywords":"Ramanujan's sum; Mathematics; Discrete mathematics; Pure mathematics","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":[0.0054367,0.000409045,0.0007068149,0.0002259776,0.0001714118,0.0002270323,0.001705812,0.0003619544,0.0005741642],"category_scores_gemma":[0.003750591,0.0003991165,0.0002778084,0.0002309298,0.0007496182,0.0002230123,0.001431857,0.0005491552,0.00005721592],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00008616287,"about_ca_system_score_gemma":0.0001505939,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001463733,"about_ca_topic_score_gemma":0.0005781045,"domain_scores_codex":[0.99378,0.00365721,0.0008994638,0.0007049763,0.0005795077,0.0003789031],"domain_scores_gemma":[0.9899019,0.002729594,0.0009593013,0.003613702,0.002608198,0.0001873312],"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":[0.00001397662,0.0008889744,0.0002663656,0.0009696254,0.0001166292,0.000003906887,0.009169482,0.00001159962,0.001530913,0.9834747,0.001328175,0.00222569],"study_design_scores_gemma":[0.0002890775,8.501303e-7,0.0002164441,0.002138817,0.00009756026,0.000006149546,0.0002836874,0.003942596,0.05598495,0.936026,0.0006284145,0.0003854054],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2269929,0.0002991821,0.647192,0.001462056,0.000277892,0.0008171358,0.0001580729,0.0004174941,0.1223832],"genre_scores_gemma":[0.649742,0.0001257195,0.3372219,0.0000365184,0.00005657163,0.00007030363,0.000231126,0.0001116921,0.01240411],"genre_candidate":"methods","genre_consensus":null,"teacher_disagreement_score":0.4227491,"threshold_uncertainty_score":0.9998461,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03922880459099027,"score_gpt":0.2917000316209845,"score_spread":0.2524712270299942,"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."}}