{"id":"W4387293720","doi":"10.48550/arxiv.2309.16966","title":"The Mahler measure of a family of polynomials with arbitrarily many variables","year":2023,"lang":"en","type":"preprint","venue":"arXiv (Cornell University)","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"","funders":"Natural Sciences and Engineering Research Council of Canada; Centre de Recherches Mathématiques","keywords":"Mathematics; Polylogarithm; Riemann zeta function; Measure (data warehouse); Riemann hypothesis; Function (biology); Pure mathematics; Dirichlet distribution; Arithmetic zeta function; Mathematical analysis; Prime zeta function; Computer science","routes":{"ca_aff":false,"ca_fund":true,"ca_venue":false,"about_ca":false,"invisible_to_affiliation_only":true},"retraction":null,"screen":null,"direct_labels":[],"prediction":{"model_version":"metacan-v3-hybrid-931329e0061c","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.001175169,0.0007513554,0.0006046731,0.003647978,0.001800006,0.002352829,0.001377515,0.0008981139,0.002789377],"category_scores_gemma":[0.005921159,0.0003722682,0.0009027984,0.0008929414,0.002987617,0.004194395,0.001814226,0.001914213,0.0005335387],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.001527867,"about_ca_system_score_gemma":0.0005311372,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0005883931,"about_ca_topic_score_gemma":0.0003459367,"domain_scores_codex":[0.9991127,0.0002044943,0.00002562891,0.0001319576,0.000364324,0.0001609187],"domain_scores_gemma":[0.9977133,0.000989349,0.0003127045,0.0002181077,0.0003310326,0.0004354857],"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":[0.00004679542,0.00001814394,0.0008427611,0.00004489534,0.00001963583,0.0003127638,0.0003038792,0.00309397,0.00406574,0.9844978,0.0005882352,0.006165252],"study_design_scores_gemma":[0.00002005592,0.00007355276,0.001492883,0.00005337565,0.00002676785,0.00109311,0.0001547824,0.06125031,0.005662487,0.9256236,0.004470462,0.00007865604],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.746363,0.001150096,0.208312,0.001393448,0.0002053159,0.00002734156,0.0001540964,0.0003409979,0.04205361],"genre_scores_gemma":[0.9772418,0.0005384715,0.01525615,0.0001190611,0.0002311773,0.00004779307,0.00009631649,0.0001118886,0.006357383],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.003647978,"threshold_uncertainty_score":0.01108545,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.1918008880907016,"score_gpt":0.2384869176485211,"score_spread":0.04668602955781956,"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."}}