{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,13]],"date-time":"2026-06-13T11:10:08Z","timestamp":1781349008170,"version":"3.54.1"},"publisher-location":"New York, NY, USA","reference-count":24,"publisher":"ACM","license":[{"start":{"date-parts":[[2007,7,29]],"date-time":"2007-07-29T00:00:00Z","timestamp":1185667200000},"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":[[2007,7,29]]},"DOI":"10.1145\/1277548.1277553","type":"proceedings-article","created":{"date-parts":[[2007,12,7]],"date-time":"2007-12-07T19:19:41Z","timestamp":1197055181000},"page":"25-32","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":37,"title":["Differential equations for algebraic functions"],"prefix":"10.1145","author":[{"given":"Alin","family":"Bostan","sequence":"first","affiliation":[{"name":"Algorithms Project, Inria Rocquencourt, Le Chesnay (France)Algorithms Project, Inria Rocquencourt, Le Chesnay (France)"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fr\u00e9d\u00e9ric","family":"Chyzak","sequence":"additional","affiliation":[{"name":"Algorithms Project, Inria Rocquencourt, Le Chesnay (France)"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Bruno","family":"Salvy","sequence":"additional","affiliation":[{"name":"Algorithms Project, Inria Rocquencourt, Le Chesnay (France)"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Gr\u00e9goire","family":"Lecerf","sequence":"additional","affiliation":[{"name":"Universit\u00e9 de Versailles St-Quentin-en-Yvelines, Versailles (France)"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"\u00c9ric","family":"Schost","sequence":"additional","affiliation":[{"name":"University of Western Ontario, London, Ontario (Canada)"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"320","published-online":{"date-parts":[[2007,7,29]]},"reference":[{"key":"e_1_3_2_1_1_1","author":"Abel N. H.","year":"1992","unstructured":"N. H. Abel . (Euvres compl\u00e8tes. Tome II. \u00c9d . J. Gabay , 1992 . Reprint of the 2nd (1881) ed. Available at http:\/\/gallica.bnf.fr. N. H. Abel. (Euvres compl\u00e8tes. Tome II. \u00c9d. J. Gabay, 1992. Reprint of the 2nd (1881) ed. Available at http:\/\/gallica.bnf.fr.","journal-title":"J. Gabay"},{"key":"e_1_3_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0747-7171(08)80159-9"},{"key":"e_1_3_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.aam.2005.09.003"},{"key":"e_1_3_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.5555\/184671"},{"key":"e_1_3_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1996.0125"},{"key":"e_1_3_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1137\/S0097539704443793"},{"key":"e_1_3_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jco.2007.01.008"},{"key":"e_1_3_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1016\/0885-064X(86)90006-3"},{"key":"e_1_3_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1016\/0885-064X(87)90002-1"},{"key":"e_1_3_2_1_10_1","volume-title":"Computers in mathematics (Stanford","author":"Chudnovsky D. V.","year":"1986","unstructured":"D. V. Chudnovsky and G. V. Chudnovsky . Computer algebra in the service of mathematical physics and number theory . In Computers in mathematics (Stanford , CA, 1986 ), 109--232, 1990. Dekker . D. V. Chudnovsky and G. V. Chudnovsky. Computer algebra in the service of mathematical physics and number theory. In Computers in mathematics (Stanford, CA, 1986), 109--232, 1990. Dekker."},{"key":"e_1_3_2_1_11_1","first-page":"379","article-title":"On transcendental and algebraic solution","author":"Cockle J.","year":"1861","unstructured":"J. Cockle . On transcendental and algebraic solution . Philosophical Magazine , XXI : 379 -- 383 , 1861 . J. Cockle. On transcendental and algebraic solution. Philosophical Magazine, XXI:379--383, 1861.","journal-title":"Philosophical Magazine"},{"key":"e_1_3_2_1_12_1","first-page":"267","article-title":"Calcul pratique des coefficients de Taylor d'une fonction alg\u00e9brique","volume":"10","author":"Comtet L.","year":"1964","unstructured":"L. Comtet . Calcul pratique des coefficients de Taylor d'une fonction alg\u00e9brique . Enseignement Math. (2) , 10 : 267 -- 270 , 1964 . L. Comtet. Calcul pratique des coefficients de Taylor d'une fonction alg\u00e9brique. Enseignement Math. (2), 10:267--270, 1964.","journal-title":"Enseignement Math. (2)"},{"key":"e_1_3_2_1_13_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.2002.0564"},{"key":"e_1_3_2_1_14_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4899-6672-8"},{"key":"e_1_3_2_1_15_1","first-page":"337","article-title":"On the theory of the transcendental solution of algebraic equations","volume":"5","author":"Harley R.","year":"1862","unstructured":"R. Harley . On the theory of the transcendental solution of algebraic equations . Quart. J. of Pure and Applied Math , 5 : 337 -- 361 , 1862 . R. Harley. On the theory of the transcendental solution of algebraic equations. Quart. J. of Pure and Applied Math, 5:337--361, 1862.","journal-title":"Quart. J. of Pure and Applied Math"},{"key":"e_1_3_2_1_17_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0022-0396(02)00074-8"},{"key":"e_1_3_2_1_18_1","doi-asserted-by":"publisher","DOI":"10.1155\/S016117120440235X"},{"key":"e_1_3_2_1_19_1","volume-title":"Notes on computing minimal approximant bases. Dagstuhl preprint","author":"Storjohann A.","year":"2006","unstructured":"A. Storjohann . Notes on computing minimal approximant bases. Dagstuhl preprint , 2006 . A. Storjohann. Notes on computing minimal approximant bases. Dagstuhl preprint, 2006."},{"key":"e_1_3_2_1_20_1","doi-asserted-by":"publisher","DOI":"10.1016\/0747-7171(92)90039-7"},{"key":"e_1_3_2_1_21_1","volume-title":"Propri\u00e9t\u00e9s des int\u00e9grales des\u00e9quations diff\u00e9rentielles lin\u00e9aires \u00e0 coefficients variables. Annales scientifiques de l'ENS S\u00e9r. 2, 4:113--182","author":"Tannery J.","year":"1875","unstructured":"J. Tannery . Propri\u00e9t\u00e9s des int\u00e9grales des\u00e9quations diff\u00e9rentielles lin\u00e9aires \u00e0 coefficients variables. Annales scientifiques de l'ENS S\u00e9r. 2, 4:113--182 , 1875 . J. Tannery. Propri\u00e9t\u00e9s des int\u00e9grales des\u00e9quations diff\u00e9rentielles lin\u00e9aires \u00e0 coefficients variables. Annales scientifiques de l'ENS S\u00e9r. 2, 4:113--182, 1875."},{"key":"e_1_3_2_1_22_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1999.0400"},{"key":"e_1_3_2_1_23_1","volume-title":"Modern computer algebra","author":"von zur Gathen J.","year":"2003","unstructured":"J. von zur Gathen and J. Gerhard . Modern computer algebra . Cambridge University Press , 2 nd ed., 2003 . J. von zur Gathen and J. Gerhard. Modern computer algebra. Cambridge University Press, 2nd ed., 2003.","edition":"2"},{"key":"e_1_3_2_1_24_1","volume-title":"Fundamental Problems in Algorithmic Algebra","author":"Yap C. K.","year":"2000","unstructured":"C. K. Yap . Fundamental Problems in Algorithmic Algebra . Oxford University Press , New York , 2000 . C. K. Yap. Fundamental Problems in Algorithmic Algebra. Oxford University Press, New York, 2000."},{"key":"e_1_3_2_1_25_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0747-7171(08)80044-2"}],"event":{"name":"ISSAC07: International Symposium on Symbolic and Algebraic Computation","location":"Waterloo Ontario Canada","acronym":"ISSAC07","sponsor":["ACM Association for Computing Machinery","SIGSAM ACM Special Interest Group on Symbolic and Algebraic Manipulation"]},"container-title":["Proceedings of the 2007 international symposium on Symbolic and algebraic computation"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1277548.1277553","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1277548.1277553","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T14:58:12Z","timestamp":1750258692000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1277548.1277553"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,7,29]]},"references-count":24,"alternative-id":["10.1145\/1277548.1277553","10.1145\/1277548"],"URL":"https:\/\/doi.org\/10.1145\/1277548.1277553","relation":{},"subject":[],"published":{"date-parts":[[2007,7,29]]},"assertion":[{"value":"2007-07-29","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}