{"id":"W634483280","doi":"10.1017/cbo9780511791260","title":"Introductory Algebraic Number Theory","year":2003,"lang":"en","type":"book","venue":"Cambridge University Press eBooks","topic":"History and Theory of Mathematics","field":"Mathematics","cited_by":122,"is_retracted":false,"has_abstract":true,"ca_institutions":"Carleton University","funders":"","keywords":"Primality test; Fermat's Last Theorem; Subject (documents); Number theory; Algebraic number; Mathematics; Computer science; Algebra over a field; Cryptography; Mathematics education; Discrete mathematics; Pure mathematics; Prime number; Algorithm; Library 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":["metaepi_narrow"],"consensus_categories":[],"category_scores_codex":[0.0007229974,0.0006387467,0.0008468404,0.0001694979,0.0003397551,0.00003472595,0.0008554183,0.0006658005,0.0007144634],"category_scores_gemma":[0.0003135912,0.0007375825,0.0004396903,0.00001981824,0.0006177733,0.0001031432,0.0002621148,0.0009457577,0.0003597084],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0006788092,"about_ca_system_score_gemma":0.0005400615,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.000001558286,"about_ca_topic_score_gemma":3.815873e-7,"domain_scores_codex":[0.997519,0.0005371088,0.0003755727,0.0006669135,0.0004293533,0.0004720594],"domain_scores_gemma":[0.9965553,0.001164276,0.0004989883,0.001352846,0.0001841143,0.0002444806],"domain_codex":null,"domain_gemma":null,"domain_candidate":null,"domain_consensus":null,"study_design_codex":"theoretical_or_conceptual","study_design_gemma":"not_applicable","study_design_scores_codex":[0.00003699903,0.00003179375,4.483326e-8,0.0003183697,0.0001578622,0.0001217385,0.0001334024,5.351952e-8,0.000002893239,0.511891,0.4871959,0.000109941],"study_design_scores_gemma":[0.0004582814,0.00002457476,1.283961e-7,0.0002655856,0.0005255258,0.00007373097,0.00008118016,0.000001576948,0.00009076909,0.04946208,0.9483054,0.0007111403],"study_design_candidate":"not_applicable","study_design_consensus":null,"genre_codex":"other","genre_gemma":"other","genre_scores_codex":[0.00009371621,0.00009223026,0.001244228,0.000004600974,0.000626079,0.0005188582,0.0005471027,0.0003324253,0.9965408],"genre_scores_gemma":[0.00001367655,0.00001731604,0.001581056,0.00009412485,0.0003470606,0.000002664972,0.00009918069,0.0001502581,0.9976947],"genre_candidate":"other","genre_consensus":"other","teacher_disagreement_score":0.462429,"threshold_uncertainty_score":0.9995075,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.02484031453073551,"score_gpt":0.2237470009059934,"score_spread":0.1989066863752579,"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."}}