{"id":"W2084769494","doi":"10.1016/j.jalgebra.2011.04.033","title":"Plus/minus p-adic L-functions for Hilbert modular forms","year":2011,"lang":"en","type":"article","venue":"Journal of Algebra","topic":"Advanced Algebra and Geometry","field":"Mathematics","cited_by":2,"is_retracted":false,"has_abstract":false,"ca_institutions":"McGill University","funders":"","keywords":"Mathematics; Modular form; Bounded function; Conjecture; Prime (order theory); Pure mathematics; Modular elliptic curve; Elliptic curve; Zero (linguistics); Eigenvalues and eigenvectors; Complex multiplication; Field (mathematics); Supersingular elliptic curve; Algebra over a field; Quarter period; Combinatorics; Mathematical analysis; Physics","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":[0.002157821,0.002035728,0.0009354352,0.004707557,0.003233419,0.00424742,0.002039505,0.002199433,0.00944881],"category_scores_gemma":[0.003392349,0.0007295892,0.001111354,0.001639483,0.006011543,0.009174211,0.003675184,0.003488781,0.002154385],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001605989,"about_ca_system_score_gemma":0.0008962167,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0004213716,"about_ca_topic_score_gemma":0.0004267978,"domain_scores_codex":[0.9990089,0.0002372581,0.00007079642,0.0001873166,0.000252077,0.0002436884],"domain_scores_gemma":[0.9987944,0.0002713303,0.0001728458,0.000129904,0.0001833353,0.0004480389],"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":[0.00003258467,0.00001464852,0.00007749017,0.00001602147,0.000003554164,0.00008182627,0.0001405707,0.00006739348,0.0006192064,0.9956012,0.0005212851,0.002824404],"study_design_scores_gemma":[0.00001902991,0.00001989604,0.0001286373,0.00001100744,0.000007455631,0.0002419114,0.00008384986,0.0009967912,0.0007000358,0.9963366,0.001438,0.00001675936],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.5748128,0.001666879,0.1671052,0.005306079,0.002082044,0.0001386409,0.0004936988,0.0009658232,0.2474288],"genre_scores_gemma":[0.9412349,0.0005128529,0.01842588,0.0009493016,0.001118089,0.00009548934,0.0002186769,0.0002793951,0.03716531],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.00944881,"threshold_uncertainty_score":0.03160936,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06160677335731453,"score_gpt":0.2970693470934089,"score_spread":0.2354625737360944,"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."}}