{"id":"W1968781015","doi":"10.1080/10586458.2004.10504532","title":"On the Vanishing of Twisted<i>L</i>-Functions of Elliptic Curves","year":2004,"lang":"en","type":"article","venue":"Experimental Mathematics","topic":"Analytic Number Theory Research","field":"Mathematics","cited_by":37,"is_retracted":false,"has_abstract":true,"ca_institutions":"Concordia University","funders":"","keywords":"Mathematics; Elliptic curve; Conjecture; Dirichlet distribution; Order (exchange); Cubic function; Combinatorics; Function (biology); Pure mathematics; Mathematical analysis","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":[0.0015856,0.0005422452,0.000659459,0.003021024,0.00146894,0.002070416,0.001054339,0.000828308,0.002635617],"category_scores_gemma":[0.00906566,0.0004824893,0.0003633089,0.001036145,0.004501031,0.00305264,0.001562,0.001017708,0.0002600007],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0009724675,"about_ca_system_score_gemma":0.0003379477,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003902215,"about_ca_topic_score_gemma":0.0002378717,"domain_scores_codex":[0.9993591,0.0002158784,0.00002854037,0.0001057228,0.0001252998,0.0001653685],"domain_scores_gemma":[0.9946856,0.002821231,0.0008931916,0.0007204227,0.0002820691,0.000597334],"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":[0.001185015,0.0001601386,0.02359493,0.0002627111,0.0000517626,0.001235149,0.001612832,0.02222746,0.03958644,0.8848359,0.001854987,0.02339261],"study_design_scores_gemma":[0.0001341792,0.0002967777,0.01703241,0.0001225225,0.00006173304,0.002521903,0.0007017446,0.1738235,0.033488,0.7693331,0.002278675,0.0002054999],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.9849983,0.0002059833,0.009846905,0.0002570069,0.00001475543,0.000006664503,0.00003826892,0.0001100019,0.00452201],"genre_scores_gemma":[0.998607,0.00008197763,0.0008871596,0.00001733443,0.00002228796,0.000006314538,0.00002550371,0.00001935474,0.0003330826],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003021024,"threshold_uncertainty_score":0.008817077,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0756290386451961,"score_gpt":0.3568150565858846,"score_spread":0.2811860179406885,"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."}}