{"id":"W3194044455","doi":"10.1016/j.jat.2022.105717","title":"Nonlinear steepest descent approach to orthogonality on elliptic curves","year":2022,"lang":"en","type":"article","venue":"Journal of Approximation Theory","topic":"Mathematical functions and polynomials","field":"Mathematics","cited_by":10,"is_retracted":false,"has_abstract":false,"ca_institutions":"Université de Montréal; Concordia University","funders":"Natural Sciences and Engineering Research Council of Canada","keywords":"Mathematics; Orthogonality; Method of steepest descent; Mathematical analysis; Gradient descent; Riemann hypothesis; Riemann surface; Kernel (algebra); Pure mathematics; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001364163,0.0008613864,0.001069702,0.001607024,0.0008039763,0.001825285,0.001270212,0.001215858,0.00305519],"category_scores_gemma":[0.005535178,0.0005693191,0.0006933173,0.0009528193,0.002086899,0.002396859,0.002522212,0.002475366,0.0004334708],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001241163,"about_ca_system_score_gemma":0.001127598,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.003788132,"about_ca_topic_score_gemma":0.002713135,"domain_scores_codex":[0.9995415,0.0001985538,0.00001569518,0.00004258,0.0001501688,0.0000515272],"domain_scores_gemma":[0.9984828,0.0007458773,0.0001088286,0.0001058754,0.0003933428,0.0001633486],"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":[0.0000347788,0.00003598238,0.000343863,0.000048075,0.00002308919,0.00005200462,0.0000790748,0.0787737,0.0009277075,0.9055552,0.001218653,0.01290788],"study_design_scores_gemma":[0.000009251731,0.00001666355,0.00008993691,0.0000114035,0.000005622628,0.00002862438,0.0000224616,0.6854737,0.0003054758,0.3128074,0.001219077,0.00001032168],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.07261872,0.0005787262,0.9056093,0.001113602,0.0002134536,0.00004436298,0.000083477,0.0001051412,0.0196332],"genre_scores_gemma":[0.7115158,0.00177641,0.2273545,0.0003983075,0.0005165081,0.0001309917,0.0002073675,0.0003157556,0.05778445],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.003788132,"threshold_uncertainty_score":0.01022059,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06039721466700742,"score_gpt":0.3108615634095375,"score_spread":0.2504643487425301,"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."}}