{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.002026858,0.0005681108,0.0008745106,0.001541921,0.001536316,0.002423422,0.001953111,0.001259552,0.01296209],"category_scores_gemma":[0.005036396,0.0003813764,0.001129751,0.001014973,0.004023437,0.006159571,0.002201675,0.003047703,0.002188129],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001715211,"about_ca_system_score_gemma":0.001061913,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007474551,"about_ca_topic_score_gemma":0.0005833972,"domain_scores_codex":[0.9986556,0.0002430806,0.00005704543,0.0002431478,0.0006172378,0.0001839347],"domain_scores_gemma":[0.9989833,0.0003804883,0.00007880308,0.000284808,0.0001962536,0.00007630655],"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":[0.000002203354,0.000004147799,0.0000130009,0.000005958442,0.000001248699,0.000009545339,0.00003372148,0.0003017013,0.0001642698,0.9974648,0.0004862425,0.001513181],"study_design_scores_gemma":[0.000004108614,0.000006286872,0.0000260876,0.00000750382,0.000001351228,0.0000339015,0.00001269358,0.004249651,0.0003550294,0.9904558,0.004840409,0.000007248329],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.06374551,0.001429143,0.5287229,0.004765986,0.001566456,0.000121684,0.0003335063,0.0004597921,0.398855],"genre_scores_gemma":[0.7711061,0.001672351,0.1200091,0.002751139,0.002258937,0.0002990584,0.0002717575,0.0006770339,0.1009547],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01296209,"threshold_uncertainty_score":0.04336256,"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."}}