{"id":"W2052121272","doi":"10.1016/j.jnt.2009.07.007","title":"Some arithmetic properties of partial zeta functions weighted by a sign character","year":2009,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université Laval","funders":"","keywords":"Mathematics; Sign (mathematics); Character (mathematics); Arithmetic; Type (biology); Arithmetic zeta function; Field (mathematics); Variable (mathematics); Riemann zeta function; Pure mathematics; Algebra over a field; Mathematical analysis; 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":[0.002141047,0.001425006,0.0009188618,0.004691171,0.001733749,0.00377224,0.001737626,0.001057232,0.006730203],"category_scores_gemma":[0.008525399,0.0006898041,0.0009067972,0.002385186,0.004338152,0.00457409,0.002049952,0.001692682,0.0006617662],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001145464,"about_ca_system_score_gemma":0.0004775276,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003886586,"about_ca_topic_score_gemma":0.0003427008,"domain_scores_codex":[0.9995047,0.0001296359,0.0000287932,0.00007554144,0.0001511131,0.0001102658],"domain_scores_gemma":[0.9961511,0.001966615,0.0006311925,0.0002809367,0.0003526366,0.0006175534],"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":[0.0001893915,0.0000423258,0.001373217,0.00006184092,0.00002686453,0.0002448491,0.000355836,0.00274291,0.004249241,0.9818864,0.0008929465,0.007934082],"study_design_scores_gemma":[0.00005792148,0.00008215738,0.001749174,0.00004634624,0.00005549036,0.0005412726,0.0002630165,0.02964817,0.002233705,0.9637085,0.001554542,0.00005969807],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9268576,0.0004248542,0.04453643,0.000595618,0.000159771,0.00002902839,0.000108648,0.0001571444,0.02713099],"genre_scores_gemma":[0.9875287,0.0003420124,0.004594697,0.00009135009,0.0002598372,0.00004673125,0.0001282022,0.0001040975,0.006904469],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.006730203,"threshold_uncertainty_score":0.02251476,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.04469844712469674,"score_gpt":0.3081994814510774,"score_spread":0.2635010343263807,"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."}}