{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,10]],"date-time":"2025-11-10T13:28:14Z","timestamp":1762781294674},"reference-count":13,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Comput."],"published-print":{"date-parts":[[1985,11]]},"DOI":"10.1137\/0214069","type":"journal-article","created":{"date-parts":[[2005,2,24]],"date-time":"2005-02-24T11:25:35Z","timestamp":1109244335000},"page":"966-990","source":"Crossref","is-referenced-by-count":34,"title":["An Extension of Liouville\u2019s Theorem on Integration in Finite Terms"],"prefix":"10.1137","volume":"14","author":[{"given":"M. F.","family":"Singer","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B. D.","family":"Saunders","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"B. F.","family":"Caviness","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"351","reference":[{"key":"RKOL73","volume-title":"Differential algebra and algebraic groups","author":"Kolchin E.","year":"1973"},{"key":"RLANG65","volume-title":"Algebra","author":"Lang Serge","year":"1965"},{"key":"RMUM76","volume-title":"Algebraic geometry. I","author":"Mumford David","year":"1976"},{"key":"RMOSE69","doi-asserted-by":"publisher","DOI":"10.1145\/1086780.1086781"},{"key":"RMOZI79","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-09519-5_93"},{"key":"RRISC69","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1969-0237477-8"},{"key":"RRITT48","doi-asserted-by":"crossref","DOI":"10.7312\/ritt91596","volume-title":"Integration in Finite Terms. Liouville's Theory of Elementary Methods","author":"Ritt Joseph Fels","year":"1948"},{"key":"RROCA79","doi-asserted-by":"publisher","DOI":"10.1137\/0208028"},{"key":"RROS75","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1975.57.289"},{"key":"RROS76","doi-asserted-by":"publisher","DOI":"10.2140\/pjm.1976.65.485"},{"key":"RROSI77","doi-asserted-by":"publisher","DOI":"10.1016\/B978-0-12-080550-1.50030-5"},{"key":"RSING77","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1977-0568865-2"},{"key":"RVDW50","volume-title":"Modern Algebra, Vol. II","author":"Van Der Waerden B. L.","year":"1950"}],"container-title":["SIAM Journal on Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/0214069","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,5]],"date-time":"2020-04-05T22:31:01Z","timestamp":1586125861000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/0214069"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1985,11]]},"references-count":13,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1985,11]]}},"alternative-id":["10.1137\/0214069"],"URL":"https:\/\/doi.org\/10.1137\/0214069","relation":{},"ISSN":["0097-5397","1095-7111"],"issn-type":[{"value":"0097-5397","type":"print"},{"value":"1095-7111","type":"electronic"}],"subject":[],"published":{"date-parts":[[1985,11]]}}}