{"id":"W3104441296","doi":"","title":"THE DIGAMMA FUNCTION, EULER-LEHMER CONSTANTS AND THEIR p-ADIC COUNTERPARTS","year":2016,"lang":"en","type":"article","venue":"","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":11,"is_retracted":false,"has_abstract":true,"ca_institutions":"Queen's University","funders":"","keywords":"Digamma function; Mathematics; Euler's formula; Pure mathematics; Constant (computer programming); Function (biology); Mathematical analysis; Riemann zeta function; Computer science","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":"codex-gemma-dda1882f352a","candidate_categories":[],"consensus_categories":[],"category_scores_codex":[0.0002829869,0.0001582633,0.0001879283,0.00002369042,0.0002280868,0.00008005051,0.0001292647,0.00004657764,0.0003914796],"category_scores_gemma":[0.0007670519,0.00006333963,0.0000453408,0.00005292294,0.0004476739,0.0002365901,0.00009173305,0.0000568526,0.0001456533],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.00002758959,"about_ca_system_score_gemma":0.00001831094,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001595172,"about_ca_topic_score_gemma":0.00004201816,"domain_scores_codex":[0.9990704,0.00003514824,0.0002828341,0.0001801855,0.0001617526,0.0002696815],"domain_scores_gemma":[0.9965399,0.002839038,0.00008947671,0.0003619467,0.00009201974,0.00007760354],"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":[0.00002409813,0.00003286041,0.0001898628,0.00003583353,0.00005848007,0.000001554808,0.0002191538,2.210879e-8,0.001055035,0.9723362,0.02051405,0.005532796],"study_design_scores_gemma":[0.0003158825,0.00003145537,0.0001115785,0.00008285025,0.00001771688,0.00001816096,0.0006825765,0.0000182723,0.001676469,0.9688289,0.02809076,0.000125389],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.2730809,0.001568753,0.5197562,0.006861165,0.00160718,0.00125713,0.00006320357,0.0009840333,0.1948215],"genre_scores_gemma":[0.9419072,0.0002394469,0.001007682,0.0001427334,0.0000858713,0.00004199105,3.11855e-7,0.00003594107,0.05653888],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.6688263,"threshold_uncertainty_score":0.4286427,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.0304426543241476,"score_gpt":0.2769499217734176,"score_spread":0.24650726744927,"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."}}