{"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":"codex-gemma-dda1882f352a","candidate_categories":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0009743079,0.0004600471,0.0007213228,0.0002100794,0.0005242479,0.00004730121,0.0006545761,0.0001674044,0.0005911533],"category_scores_gemma":[0.004232292,0.0004082616,0.0002320905,0.0004780448,0.0005800288,0.00136148,0.0004522144,0.000459992,0.0004010439],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0001851779,"about_ca_system_score_gemma":0.00002236463,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00002897893,"about_ca_topic_score_gemma":0.0001637511,"domain_scores_codex":[0.9968408,0.0002175941,0.000919725,0.0006506341,0.0007234343,0.000647849],"domain_scores_gemma":[0.9970215,0.0004594199,0.000485711,0.00123997,0.0006019787,0.0001914412],"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":[0.0000819456,0.0002720117,0.00002443353,0.0005107039,0.0001176048,0.00001429111,0.00003209474,0.000001154859,0.06713043,0.9277785,0.00004126703,0.003995524],"study_design_scores_gemma":[0.0003038804,0.000181336,0.00004684221,0.0001720201,0.00007495671,0.00004648306,0.0001279462,0.000004924151,0.332579,0.6561979,0.009933405,0.0003313171],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8710997,0.00006460948,0.000009648546,0.00007882834,0.0005047516,0.0005927042,0.000227382,0.0003844053,0.127038],"genre_scores_gemma":[0.9565766,0.00002662175,0.02648739,0.00007027591,0.0001041391,0.0000573189,0.000006280502,0.0001442318,0.01652713],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.2715806,"threshold_uncertainty_score":0.9998369,"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."}}