{"id":"W2056308826","doi":"10.4064/aa124-2-4","title":"On the two-dimensional theta functions of the Borweins","year":2006,"lang":"en","type":"article","venue":"Acta Arithmetica","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":51,"is_retracted":false,"has_abstract":false,"ca_institutions":"Carleton University","funders":"","keywords":"Mathematics; Pure mathematics; Algebra over a field","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":[0.00200625,0.001189407,0.001082456,0.002748281,0.002607135,0.003924846,0.001214761,0.001417382,0.007242028],"category_scores_gemma":[0.003271765,0.0005545954,0.0008199302,0.002010773,0.005985551,0.005319989,0.002784658,0.003477598,0.00170068],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001702477,"about_ca_system_score_gemma":0.0008542056,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.001300128,"about_ca_topic_score_gemma":0.0007456932,"domain_scores_codex":[0.9993773,0.0002315041,0.00003503082,0.00008237651,0.0001380167,0.0001358369],"domain_scores_gemma":[0.9993103,0.0002215718,0.0001029513,0.00008992919,0.00009670038,0.0001786039],"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":[0.00001514417,0.000005095907,0.00005275034,0.000007711009,0.000001692466,0.00001739009,0.0001350401,0.0001752896,0.0001369819,0.9975311,0.0003716942,0.001550226],"study_design_scores_gemma":[0.0000151023,0.000008165311,0.00009174235,0.000009865913,0.000002587876,0.00003942017,0.00008296495,0.001150139,0.0001011909,0.9964896,0.002001103,0.000008033278],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5171995,0.005926447,0.1146618,0.0081084,0.002203665,0.00008120449,0.0002952817,0.0003720467,0.3511515],"genre_scores_gemma":[0.9317614,0.00243983,0.01718586,0.0008157381,0.001082587,0.00009498115,0.0001330146,0.0001856187,0.04630098],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.007242028,"threshold_uncertainty_score":0.02422696,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02626458730869688,"score_gpt":0.2806634861240655,"score_spread":0.2543988988153686,"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."}}