{"id":"W2137447152","doi":"10.1006/jnth.2000.2595","title":"Interpolation Formulas and Auxiliary Functions","year":2002,"lang":"en","type":"article","venue":"Journal of Number Theory","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":15,"is_retracted":false,"has_abstract":false,"ca_institutions":"University of Ottawa","funders":"","keywords":"Mathematics; Cartesian product; Conjecture; Interpolation (computer graphics); Lemma (botany); Product (mathematics); Algebraic number; Logarithm; Pure mathematics; Exponential function; Algebra over a field; Discrete mathematics; 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":[0.002693499,0.001004882,0.001436056,0.00357177,0.002211528,0.002997881,0.001784199,0.001466289,0.008501394],"category_scores_gemma":[0.007282049,0.0006566938,0.001042591,0.003486581,0.003892128,0.009806223,0.002922719,0.006604041,0.00104147],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001491789,"about_ca_system_score_gemma":0.0006017244,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005089964,"about_ca_topic_score_gemma":0.0005356664,"domain_scores_codex":[0.9993019,0.0002661221,0.00004362122,0.0001106196,0.0001901307,0.00008757976],"domain_scores_gemma":[0.9977211,0.001210641,0.0001876119,0.0003208353,0.0003704868,0.0001893029],"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":[0.00001371617,0.000008447708,0.00004684431,0.00001184868,0.000002238937,0.00001737102,0.0000666897,0.0001139676,0.0001035699,0.9958758,0.0006739977,0.003065726],"study_design_scores_gemma":[0.000005541146,0.000004873196,0.00004565564,0.000006201027,0.000004081486,0.00003481685,0.0000190313,0.001315973,0.0001176916,0.9960325,0.002408896,0.000004666286],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.1716359,0.006565686,0.4827743,0.008629139,0.002515978,0.00007740423,0.0004889437,0.0006135132,0.3266992],"genre_scores_gemma":[0.830769,0.003641186,0.09543241,0.001574183,0.002206596,0.0001317981,0.0006342856,0.0004351008,0.06517535],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008501394,"threshold_uncertainty_score":0.02843994,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.03323354787253836,"score_gpt":0.2807818268817475,"score_spread":0.2475482790092092,"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."}}