{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,9]],"date-time":"2026-05-09T22:55:22Z","timestamp":1778367322083,"version":"3.51.4"},"reference-count":21,"publisher":"Elsevier BV","issue":"6","license":[{"start":{"date-parts":[[2003,6,1]],"date-time":"2003-06-01T00:00:00Z","timestamp":1054425600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":3699,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Symbolic Computation"],"published-print":{"date-parts":[[2003,6]]},"DOI":"10.1016\/s0747-7171(03)00032-4","type":"journal-article","created":{"date-parts":[[2003,5,12]],"date-time":"2003-05-12T21:09:24Z","timestamp":1052773764000},"page":"651-672","source":"Crossref","is-referenced-by-count":3,"title":["On the normalization of numbers and functions defined by radicals"],"prefix":"10.1016","volume":"35","author":[{"given":"Marc","family":"Rybowicz","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"issue":"2","key":"10.1016\/S0747-7171(03)00032-4_B1","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1006\/jnth.1995.1072","article-title":"Kneser field extension with cogalois correspondence","volume":"52","author":"Albu","year":"1995","journal-title":"Journal of Number Theory"},{"issue":"1","key":"10.1016\/S0747-7171(03)00032-4_B2","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1007\/s004530010028","article-title":"Denesting by bounded degree radicals","volume":"28","author":"Bl\u00f6mer","year":"2000","journal-title":"Algorithmica"},{"key":"10.1016\/S0747-7171(03)00032-4_B3","first-page":"189","article-title":"Decreasing the nesting depth of expressions involving square roots","volume":"1","author":"Borodin","year":"1985","journal-title":"JSC"},{"key":"10.1016\/S0747-7171(03)00032-4_B4","series-title":"Proceedings SYMSAC\u201976","article-title":"Simplification of radical expressions","author":"Caviness","year":"1976"},{"key":"10.1016\/S0747-7171(03)00032-4_B5","series-title":"A Course in Computational Algebraic Number Theory","author":"Cohen","year":"1993"},{"key":"10.1016\/S0747-7171(03)00032-4_B6","doi-asserted-by":"crossref","first-page":"317","DOI":"10.2140\/pjm.1981.92.317","article-title":"The torsion group of a radical extension","volume":"92.2","author":"Gay","year":"1981","journal-title":"Pacific Journal of Mathematics"},{"key":"10.1016\/S0747-7171(03)00032-4_B7","series-title":"Number Theory","author":"Hasse","year":"1980"},{"key":"10.1016\/S0747-7171(03)00032-4_B8","doi-asserted-by":"crossref","first-page":"307","DOI":"10.4064\/aa-26-3-307-308","article-title":"Lineare Abh\u00e4ngigkeit von Wurzlen","volume":"26","author":"Kneser","year":"1975","journal-title":"Acta Arithmetica"},{"key":"10.1016\/S0747-7171(03)00032-4_B9","doi-asserted-by":"crossref","first-page":"184","DOI":"10.1137\/0214015","article-title":"Factoring polynomials over algebraic number fields","volume":"14","author":"Landau","year":"1985","journal-title":"SIAM Journal on Computing"},{"issue":"1","key":"10.1016\/S0747-7171(03)00032-4_B10","doi-asserted-by":"crossref","first-page":"85","DOI":"10.1137\/0221009","article-title":"Simplification of nested radicals","volume":"21","author":"Landau","year":"1992","journal-title":"SIAM Journal on Computing"},{"key":"10.1016\/S0747-7171(03)00032-4_B11","series-title":"Algebra","author":"Lang","year":"2002"},{"key":"10.1016\/S0747-7171(03)00032-4_B12","series-title":"Proceedings Eurocam\u201982","article-title":"Lattices and factorization of polynomials over algebraic number fields","volume":"vol. 144","author":"Lenstra","year":"1982"},{"key":"10.1016\/S0747-7171(03)00032-4_B13","series-title":"Proceedings Eurocal\u201983","article-title":"Factoring polynomials over algebraic number fields","volume":"vol. 162","author":"Lenstra","year":"1983"},{"key":"10.1016\/S0747-7171(03)00032-4_B14","series-title":"Elementary and Analytic Theory of Algebraic Numbers","author":"Narkiewicz","year":"1990"},{"key":"10.1016\/S0747-7171(03)00032-4_B15","doi-asserted-by":"crossref","first-page":"161","DOI":"10.4064\/aa-28-2-161-176","article-title":"On linear dependence of roots","volume":"28","author":"Schinzel","year":"1975","journal-title":"Acta Arithmetica"},{"key":"10.1016\/S0747-7171(03)00032-4_B16","doi-asserted-by":"crossref","first-page":"245","DOI":"10.4064\/aa-32-3-245-274","article-title":"Abelian binomials, power residues and exponential congruences","volume":"32","author":"Schinzel","year":"1977","journal-title":"Acta Arithmetica"},{"key":"10.1016\/S0747-7171(03)00032-4_B17","series-title":"Selected Topics on Polynomials","author":"Schinzel","year":"1982"},{"key":"10.1016\/S0747-7171(03)00032-4_B18","series-title":"Polynomials with Special Regard to Reducibility","volume":"vol. 77","author":"Schinzel","year":"2000"},{"key":"10.1016\/S0747-7171(03)00032-4_B19","series-title":"Proceedings ISSAC\u201990","article-title":"Detecting algebraic dependencies between unnested radicals","author":"Smedley","year":"1990"},{"key":"10.1016\/S0747-7171(03)00032-4_B20","series-title":"Proceedings SYMSAC\u201976","first-page":"219","article-title":"Algebraic factoring and rational function integration","author":"Trager","year":"1976"},{"issue":"2","key":"10.1016\/S0747-7171(03)00032-4_B21","doi-asserted-by":"crossref","first-page":"189","DOI":"10.1016\/S0747-7171(85)80014-6","article-title":"Simplification of expressions involving radicals","volume":"1","author":"Zippel","year":"1985","journal-title":"Journal of Symbolic Computation"}],"container-title":["Journal of Symbolic Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0747717103000324?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0747717103000324?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,3,21]],"date-time":"2019-03-21T11:56:20Z","timestamp":1553169380000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0747717103000324"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,6]]},"references-count":21,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2003,6]]}},"alternative-id":["S0747717103000324"],"URL":"https:\/\/doi.org\/10.1016\/s0747-7171(03)00032-4","relation":{},"ISSN":["0747-7171"],"issn-type":[{"value":"0747-7171","type":"print"}],"subject":[],"published":{"date-parts":[[2003,6]]}}}