{"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":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001094571,0.0006724906,0.0007736802,0.002950145,0.001163844,0.00205291,0.001118242,0.000696848,0.0039114],"category_scores_gemma":[0.004953635,0.0003176917,0.0006214305,0.002028347,0.003940016,0.002392657,0.001568394,0.001692174,0.0004676402],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.002536541,"about_ca_system_score_gemma":0.0003167855,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000751044,"about_ca_topic_score_gemma":0.0004895409,"domain_scores_codex":[0.9993275,0.0001596378,0.00002290625,0.0001177548,0.000259771,0.0001123409],"domain_scores_gemma":[0.9985628,0.0004582331,0.0002796332,0.0001200069,0.0001651473,0.0004143346],"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":[0.0001286664,0.00002493668,0.002218281,0.00008193688,0.00002838252,0.0003027445,0.0005045023,0.01847873,0.004655738,0.9619584,0.0007405957,0.01087722],"study_design_scores_gemma":[0.00003664267,0.00007994357,0.005149308,0.0000674722,0.00001971242,0.000836688,0.0003456948,0.07183792,0.002567238,0.9131446,0.005855971,0.00005892769],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9257111,0.002222065,0.03486785,0.0007617323,0.0001684451,0.00002145562,0.0001506701,0.000105319,0.03599139],"genre_scores_gemma":[0.9902266,0.0005034092,0.003072357,0.00003239869,0.0001700672,0.00001318758,0.00009283085,0.0000304467,0.005858537],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.0039114,"threshold_uncertainty_score":0.01840395,"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."}}