{"id":"W2020604516","doi":"10.1007/s00039-006-0582-7","title":"Holomorphic factorization of determinants of Laplacians on Riemann surfaces and a higher genus generalization of Kronecker’s first limit formula","year":2006,"lang":"en","type":"article","venue":"Geometric and Functional Analysis","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":58,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal","funders":"","keywords":"Mathematics; Holomorphic function; Factorization; Combinatorics; Genus; Riemann surface; 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":[0.002533497,0.001372086,0.001583308,0.004143228,0.0020667,0.004323754,0.002076121,0.00225724,0.00571724],"category_scores_gemma":[0.005755208,0.0007715946,0.001619661,0.001633181,0.004579706,0.007399034,0.002369804,0.003256245,0.001022265],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001924006,"about_ca_system_score_gemma":0.001031074,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00195002,"about_ca_topic_score_gemma":0.00196335,"domain_scores_codex":[0.9991966,0.0002315427,0.00005640837,0.0001403401,0.0002403861,0.0001346932],"domain_scores_gemma":[0.9980209,0.0005790493,0.0002557753,0.0002444758,0.000419273,0.000480564],"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":[0.00001337174,0.00002391362,0.0001481907,0.0000201477,0.000004291665,0.0001092463,0.0001731836,0.000459057,0.0006831107,0.9960392,0.000423124,0.001903291],"study_design_scores_gemma":[0.000009000069,0.00001250333,0.0002447589,0.00001393149,0.000006154999,0.0001915319,0.00006253294,0.01001476,0.0002856989,0.9883612,0.0007786727,0.00001922989],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.6442353,0.002916036,0.2436341,0.003934703,0.001585701,0.00007388784,0.0001634596,0.0005222848,0.1029346],"genre_scores_gemma":[0.9400666,0.001067556,0.02918617,0.0007142886,0.0009351881,0.00004543134,0.0001339173,0.0002611529,0.02758981],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00571724,"threshold_uncertainty_score":0.01912612,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02885378831948639,"score_gpt":0.253453182682053,"score_spread":0.2245993943625666,"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."}}