{"id":"W2037512858","doi":"10.1515/forum.2007.026","title":"Dirichlet series and hyperelliptic curves","year":2007,"lang":"en","type":"article","venue":"Forum Mathematicum","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":4,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Mathematics; Dirichlet series; Hyperelliptic curve; Series (stratigraphy); Conjecture; Pure mathematics; Zero (linguistics); Degree (music); Quadratic equation; Mathematical analysis; Dirichlet distribution; Combinatorics; Algebra over a field; Geometry","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001239031,0.000217667,0.0003500055,0.00009728068,0.0001568562,0.00002972593,0.0001707928,0.00009068559,0.0003159454],"category_scores_gemma":[0.0007270325,0.0001774378,0.00007536405,0.0002196466,0.0001418144,0.0002298276,0.0001220867,0.0001480103,0.0001449435],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00001783215,"about_ca_system_score_gemma":0.00001131098,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000002523453,"about_ca_topic_score_gemma":0.000006465712,"domain_scores_codex":[0.9986196,0.00003362627,0.0004100402,0.0002208063,0.0002579213,0.0004580592],"domain_scores_gemma":[0.9984581,0.0008342258,0.0001491331,0.0003825184,0.00004672153,0.0001292253],"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":[0.00005299884,0.0002136012,0.0008806559,0.00360038,0.00009595883,0.00003601901,0.00120764,7.666601e-8,0.0004725825,0.9726779,0.01956975,0.001192375],"study_design_scores_gemma":[0.0002380392,0.00009677367,0.0001999166,0.0004786337,0.00007188317,0.0003084001,0.002002893,0.00001483032,0.004008605,0.9885496,0.003750931,0.000279522],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.921112,0.003040169,0.02645013,0.002182525,0.0003355484,0.000657436,0.00001040403,0.0004636683,0.04574811],"genre_scores_gemma":[0.954083,0.0002664181,0.03055434,0.0008507153,0.0001432531,0.00002633555,0.000006301884,0.00008441077,0.01398527],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.03297095,"threshold_uncertainty_score":0.7235705,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02219025484095111,"score_gpt":0.2821967481712681,"score_spread":0.2600064933303169,"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."}}