{"id":"W3185822828","doi":"10.82308/52759","title":"Petersson inner product of theta series","year":2018,"lang":"en","type":"article","venue":"eScholarship@McGill (McGill)","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":1,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; McGill University","keywords":"Series (stratigraphy); Product (mathematics); Mathematics; Computer science; Geology; Geometry; Paleontology","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.000483618,0.0004038236,0.0003212153,0.0008484421,0.0006300939,0.001649949,0.0004110589,0.0003308809,0.01178283],"category_scores_gemma":[0.001251074,0.0002217889,0.0005338101,0.0006593764,0.001336584,0.002824676,0.001164246,0.001224236,0.001375237],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0008119631,"about_ca_system_score_gemma":0.0004319024,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0007864229,"about_ca_topic_score_gemma":0.0007038682,"domain_scores_codex":[0.999648,0.00006599781,0.00001782638,0.00007638019,0.0001270274,0.00006474524],"domain_scores_gemma":[0.9996169,0.0001260845,0.00005386221,0.00006545863,0.00008624156,0.00005144143],"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":[0.000009946393,0.000003146267,0.0001952089,0.00002846016,0.000004572307,0.000054958,0.0001738341,0.0008462594,0.0006610008,0.9905998,0.0007751344,0.006647664],"study_design_scores_gemma":[0.000005935549,0.00003346651,0.0008668735,0.00002487841,0.00001110522,0.0002799833,0.0001781761,0.007715995,0.00237749,0.9547317,0.03375606,0.00001830866],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"other","genre_gemma":"empirical","genre_scores_codex":[0.2820198,0.003699976,0.3047105,0.001858886,0.00106542,0.00003767578,0.0003648713,0.0003751007,0.4058678],"genre_scores_gemma":[0.8759847,0.002445703,0.0248099,0.000298443,0.0006021343,0.00003366911,0.0002050852,0.0002352354,0.09538513],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.01178283,"threshold_uncertainty_score":0.03941751,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04055881012296094,"score_gpt":0.2870353131428369,"score_spread":0.246476503019876,"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."}}