{"id":"W2598552272","doi":"10.1090/tran/7477","title":"A multi-Frey approach to Fermat equations of signature $(r,r,p)$","year":2017,"lang":"en","type":"preprint","venue":"Transactions of the American Mathematical Society","topic":"Algebraic Geometry and Number Theory","field":"Mathematics","cited_by":0,"is_retracted":false,"has_abstract":true,"ca_institutions":"University of British Columbia; Simon Fraser University","funders":"Agence Nationale de la Recherche","keywords":"Fermat's Last Theorem; Modulo; Signature (topology); Mathematics; Elliptic curve; Resolution (logic); Discrete mathematics; Combinatorics; Pure mathematics; Computer science; 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":[0.001061937,0.0008890649,0.0008015946,0.001709967,0.002019831,0.00140483,0.001191907,0.001213841,0.008129398],"category_scores_gemma":[0.002132406,0.0004175515,0.001496445,0.0006921824,0.003169043,0.004979644,0.003261395,0.004218874,0.001786853],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0007609834,"about_ca_system_score_gemma":0.0005690367,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0003457078,"about_ca_topic_score_gemma":0.0006663806,"domain_scores_codex":[0.999551,0.0001192724,0.0000317176,0.00008359608,0.0001288514,0.00008558903],"domain_scores_gemma":[0.9996855,0.0001310862,0.00004246264,0.00006689211,0.00003948397,0.0000346491],"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":[0.00001388346,0.000009951685,0.00008928296,0.00004725639,0.00000752644,0.0001916662,0.0003106155,0.001196024,0.001109328,0.9846037,0.001401537,0.01101928],"study_design_scores_gemma":[0.00002065967,0.00005783221,0.0001388359,0.00003742088,0.00001897659,0.0006377845,0.0001805574,0.009140146,0.001783795,0.960834,0.02711593,0.00003407697],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"methods","genre_gemma":"empirical","genre_scores_codex":[0.09885365,0.002618258,0.7890894,0.004756623,0.001539056,0.0001100733,0.0001090023,0.0003669212,0.1025569],"genre_scores_gemma":[0.5689957,0.002312694,0.3714755,0.002062513,0.001892679,0.0001519583,0.000176725,0.0003760209,0.05255611],"genre_candidate":"empirical","genre_consensus":null,"teacher_disagreement_score":0.008129398,"threshold_uncertainty_score":0.02719551,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.05702527337872242,"score_gpt":0.3265472387143141,"score_spread":0.2695219653355917,"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."}}