{"id":"W1519807083","doi":"10.1090/s0002-9939-04-07784-6","title":"Small prime solutions of quadratic equations II","year":2004,"lang":"lv","type":"article","venue":"Proceedings of the American Mathematical Society","topic":"Meromorphic and Entire Functions","field":"Mathematics","cited_by":12,"is_retracted":false,"has_abstract":true,"ca_institutions":"Simon Fraser University","funders":"Natural Sciences and Engineering Research Council of Canada; National Natural Science Foundation of China; National Science Foundation","keywords":"Prime (order theory); Quadratic equation; Mathematics; Applied mathematics; Combinatorics; Geometry","routes":{"ca_aff":true,"ca_fund":true,"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":[0.001054875,0.0004200845,0.001149233,0.00005919098,0.0007937961,0.00004527209,0.0008853594,0.000161806,0.000228712],"category_scores_gemma":[0.002272879,0.0003133511,0.001263058,0.00137609,0.00241963,0.0001583457,0.0007307897,0.0005332241,0.00005744881],"about_ca_system_candidate":false,"about_ca_system_consensus":false,"about_ca_system_score_codex":0.0002278963,"about_ca_system_score_gemma":0.0003073363,"about_ca_topic_candidate":false,"about_ca_topic_consensus":false,"about_ca_topic_score_codex":0.0001347639,"about_ca_topic_score_gemma":0.000005076227,"domain_scores_codex":[0.9966758,0.00002606098,0.001406177,0.000404221,0.0008166985,0.0006709638],"domain_scores_gemma":[0.9958822,0.0006496441,0.002095894,0.0005020053,0.0006647106,0.0002055655],"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":[0.0000235322,0.002963264,0.0001609509,0.002362114,0.0007918993,1.315204e-7,0.01557189,0.00004112525,0.02351945,0.9503648,0.0038793,0.0003215417],"study_design_scores_gemma":[0.001129679,0.0007654925,0.0004632875,0.001965596,0.002177544,0.00002718086,0.01690388,0.005187126,0.01254165,0.9580402,0.0001755391,0.0006228345],"study_design_candidate":"theoretical_or_conceptual","study_design_consensus":"theoretical_or_conceptual","genre_codex":"empirical","genre_gemma":"empirical","genre_scores_codex":[0.8852983,0.0001624449,0.09598058,0.007808106,0.0002342463,0.00146695,0.0001043563,0.0001476569,0.008797383],"genre_scores_gemma":[0.9027732,0.00006660731,0.09506138,0.0001697355,0.0001184377,0.00007171145,0.00000256942,0.00007004416,0.001666287],"genre_candidate":"empirical","genre_consensus":"empirical","teacher_disagreement_score":0.01747495,"threshold_uncertainty_score":0.9999319,"prediction_status":"machine_predicted_unvalidated"},"machine_scores":{"provisional":true,"baseline":true,"maturity_gate_passed":false,"score_opus":0.06551923870132645,"score_gpt":0.2693759478220943,"score_spread":0.2038567091207678,"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."}}