{"id":"W2024208102","doi":"10.1007/s00605-014-0715-2","title":"On $$q$$ q -analogues of two-one formulas for multiple harmonic sums and multiple zeta star values","year":2014,"lang":"de","type":"article","venue":"Monatshefte für Mathematik","topic":"Advanced Mathematical Identities","field":"Mathematics","cited_by":17,"is_retracted":false,"has_abstract":false,"ca_institutions":"Fields Institute for Research in Mathematical Sciences","funders":"","keywords":"Mathematics; Harmonic number; Star (game theory); Congruence relation; Binomial (polynomial); Binomial coefficient; Harmonic; Set (abstract data type); Pure mathematics; Combinatorics; Riemann zeta function; Mathematical analysis; Physics; Statistics; 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":["metaresearch","metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.002148236,0.001175263,0.002625674,0.0004953789,0.0004500246,0.0002229172,0.0008910404,0.0004462634,0.0002162067],"category_scores_gemma":[0.01138153,0.001097948,0.0007450498,0.000313296,0.0007383414,0.0005838951,0.0005412044,0.0005666713,0.0003073235],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.000189124,"about_ca_system_score_gemma":0.0000757204,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.00005047227,"about_ca_topic_score_gemma":0.00007033491,"domain_scores_codex":[0.9935015,0.0002973444,0.002443735,0.001187744,0.001267204,0.001302478],"domain_scores_gemma":[0.9804342,0.01517377,0.001619028,0.001785583,0.0005718811,0.000415581],"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":[0.0006690444,0.003974239,0.000229175,0.02409404,0.002025374,0.00001145894,0.008865153,0.0004523122,0.0118805,0.9396315,0.005992259,0.002174967],"study_design_scores_gemma":[0.004512358,0.0008153898,0.00006014011,0.001763181,0.001085721,0.000008278133,0.000693646,0.1107077,0.0338558,0.8446771,0.0008575901,0.0009631107],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.7767174,0.005600644,0.2045526,0.0006378491,0.0009971964,0.006655059,0.001409229,0.0006293483,0.002800637],"genre_scores_gemma":[0.8310515,0.0004655036,0.1627084,0.0001122236,0.0004226241,0.0002946071,0.0001257759,0.0004041407,0.004415137],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.1102554,"threshold_uncertainty_score":0.9991471,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05092180564284549,"score_gpt":0.3218114843762794,"score_spread":0.2708896787334339,"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."}}