{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T09:25:08Z","timestamp":1773221108150,"version":"3.50.1"},"publisher-location":"New York, NY, USA","reference-count":35,"publisher":"ACM","license":[{"start":{"date-parts":[[2004,7,4]],"date-time":"2004-07-04T00:00:00Z","timestamp":1088899200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2004,7,4]]},"DOI":"10.1145\/1005285.1005309","type":"proceedings-article","created":{"date-parts":[[2004,7,20]],"date-time":"2004-07-20T15:55:38Z","timestamp":1090338938000},"page":"155-162","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":28,"title":["Rational general solutions of algebraic ordinary differential equations"],"prefix":"10.1145","author":[{"given":"Ruyong","family":"Feng","sequence":"first","affiliation":[{"name":"Key Laboratory of Mathematics Mechanization Institute of Systems Science, Beijing, China"}]},{"given":"Xiao-shan","family":"Gao","sequence":"additional","affiliation":[{"name":"Key Laboratory of Mathematics Mechanization Institute of Systems Science, Beijing, China"}]}],"member":"320","published-online":{"date-parts":[[2004,7,4]]},"reference":[{"key":"e_1_3_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1145\/120694.120735"},{"key":"e_1_3_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/0167-8396(88)90011-8"},{"key":"e_1_3_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1145\/143242.143264"},{"key":"e_1_3_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1145\/309831.309903"},{"key":"e_1_3_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1145\/780506.780510"},{"key":"e_1_3_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1999.0314"},{"key":"e_1_3_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1999.0315"},{"key":"e_1_3_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1145\/309831.309952"},{"key":"e_1_3_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.5802\/aif.1278"},{"key":"e_1_3_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.2307\/2118601"},{"key":"e_1_3_2_1_11_1","volume-title":"An algorithm to find polynomial solutions of y' = R(x,y)","author":"Cano J.","year":"2003","unstructured":"Cano , J. , An algorithm to find polynomial solutions of y' = R(x,y) , 2003 , private communication. Cano, J., An algorithm to find polynomial solutions of y' = R(x,y), 2003, private communication."},{"key":"e_1_3_2_1_12_1","doi-asserted-by":"publisher","DOI":"10.1145\/384101.384115"},{"key":"e_1_3_2_1_13_1","volume-title":"Polynomial general solution for first order ODEs with constant coefficients, poster at ISSAC2003","author":"Feng R.","unstructured":"Feng R. and Gao , X.S. , Polynomial general solution for first order ODEs with constant coefficients, poster at ISSAC2003 . Feng R. and Gao, X.S., Polynomial general solution for first order ODEs with constant coefficients, poster at ISSAC2003."},{"key":"e_1_3_2_1_14_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0747-7171(03)00068-3"},{"key":"e_1_3_2_1_15_1","doi-asserted-by":"publisher","DOI":"10.1142\/S0218195991000116"},{"key":"e_1_3_2_1_16_1","doi-asserted-by":"publisher","DOI":"10.1145\/120694.120710"},{"key":"e_1_3_2_1_17_1","volume-title":"Essentials of Pade approximants","author":"George A.","year":"1975","unstructured":"George , A. and Baker , J.R. , Essentials of Pade approximants , ACM Press , New York , 1975 . George, A. and Baker, J.R., Essentials of Pade approximants, ACM Press, New York, 1975."},{"key":"e_1_3_2_1_18_1","doi-asserted-by":"publisher","DOI":"10.1145\/236869.237073"},{"key":"e_1_3_2_1_19_1","volume-title":"Differential algebra and algebraic groups","author":"Kolchin E.R.","year":"1973","unstructured":"Kolchin , E.R. , Differential algebra and algebraic groups , ACM Press , New York , 1973 . Kolchin, E.R., Differential algebra and algebraic groups, ACM Press, New York, 1973."},{"key":"e_1_3_2_1_20_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0747-7171(86)80010-4"},{"key":"e_1_3_2_1_21_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.2001.0461"},{"key":"e_1_3_2_1_22_1","doi-asserted-by":"publisher","DOI":"10.1145\/258726.258773"},{"key":"e_1_3_2_1_23_1","volume-title":"Rendiconti del circolo matematico di Palermo, t.11, 193--239","author":"Poincare H.","year":"1897","unstructured":"Poincare , H. , Sur l'integration algebrique des equations diff. du premier ordre , Rendiconti del circolo matematico di Palermo, t.11, 193--239 , 1897 . Poincare, H., Sur l'integration algebrique des equations diff. du premier ordre, Rendiconti del circolo matematico di Palermo, t.11, 193--239, 1897."},{"key":"e_1_3_2_1_24_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1969-0237477-8"},{"key":"e_1_3_2_1_25_1","volume-title":"Differential algebra","author":"Ritt J.F.","year":"1950","unstructured":"Ritt , J.F. , Differential algebra , Amer. Math. Sco. Colloquium, New York , 1950 . Ritt, J.F., Differential algebra, Amer. Math. Sco. Colloquium, New York, 1950."},{"key":"e_1_3_2_1_26_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0167-8396(01)00069-3"},{"key":"e_1_3_2_1_27_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1996.0083"},{"key":"e_1_3_2_1_28_1","doi-asserted-by":"publisher","DOI":"10.2307\/2374045"},{"key":"e_1_3_2_1_29_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1992-1062869-X"},{"key":"e_1_3_2_1_30_1","doi-asserted-by":"publisher","DOI":"10.1145\/143242.143267"},{"key":"e_1_3_2_1_31_1","doi-asserted-by":"publisher","DOI":"10.1145\/96877.96936"},{"key":"e_1_3_2_1_32_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1996.0084"},{"key":"e_1_3_2_1_33_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1999.0316"},{"key":"e_1_3_2_1_34_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-55750-7"},{"key":"e_1_3_2_1_35_1","volume-title":"Vol 1","author":"Van der Waerden","year":"1970","unstructured":"Van der Waerden , Modern algebra , Vol 1 , New York , 1970 . Van der Waerden, Modern algebra, Vol 1, New York, 1970."}],"event":{"name":"ISSAC04: International Symposium on Symbolic and Algebraic Computation","location":"Santander Spain","acronym":"ISSAC04","sponsor":["ACM Association for Computing Machinery","SIGSAM ACM Special Interest Group on Symbolic and Algebraic Manipulation"]},"container-title":["Proceedings of the 2004 international symposium on Symbolic and algebraic computation"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1005285.1005309","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1005285.1005309","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T21:38:34Z","timestamp":1750282714000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1005285.1005309"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,7,4]]},"references-count":35,"alternative-id":["10.1145\/1005285.1005309","10.1145\/1005285"],"URL":"https:\/\/doi.org\/10.1145\/1005285.1005309","relation":{},"subject":[],"published":{"date-parts":[[2004,7,4]]},"assertion":[{"value":"2004-07-04","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}