{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T22:54:30Z","timestamp":1725490470146},"publisher-location":"Berlin, Heidelberg","reference-count":12,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540751861"},{"type":"electronic","value":"9783540751878"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"DOI":"10.1007\/978-3-540-75187-8_17","type":"book-chapter","created":{"date-parts":[[2007,9,1]],"date-time":"2007-09-01T15:13:38Z","timestamp":1188659618000},"page":"211-223","source":"Crossref","is-referenced-by-count":0,"title":["A Unified Algorithm for Multivariate Analytic Factorization"],"prefix":"10.1007","author":[{"given":"Maki","family":"Iwami","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"17_CR1","doi-asserted-by":"publisher","first-page":"37","DOI":"10.1007\/BF03023744","volume":"10","author":"S.S. Abhyankar","year":"1988","unstructured":"Abhyankar, S.S.: What is the difference between a parabola and a hyperbola? Math. Intelligencer\u00a010, 37\u201343 (1988)","journal-title":"Math. Intelligencer"},{"key":"17_CR2","doi-asserted-by":"publisher","first-page":"190","DOI":"10.1016\/0001-8708(89)90009-1","volume":"74","author":"S.S. Abhyankar","year":"1989","unstructured":"Abhyankar, S.S.: Irreducibility Criterion for Germs of Analytic Functions of Two Complex Variables. Advances in Math.\u00a074, 190\u2013257 (1989)","journal-title":"Advances in Math."},{"doi-asserted-by":"crossref","unstructured":"S. S. Abhyankar: Algebraic Geometry for Scientists and Engineers. In: Mathematical Surveys and Monographs. vol. 35, Amarican Mathematical Society, Providence, RI (1990)","key":"17_CR3","DOI":"10.1090\/surv\/035"},{"key":"17_CR4","first-page":"29","volume":"261","author":"S.S. Abhyankar","year":"1973","unstructured":"Abhyankar, S.S., Moh, T.T.: Newton-Puiseux expansion and generalized Tschirnhausen transformation II. J. reine und angew. Math.\u00a0261, 29\u201354 (1973)","journal-title":"J. reine und angew. Math."},{"unstructured":"Iwami, M.: Analytic Factorization of the Multivariate Polynomial. In: Proceedings of the Sixth International Workshop on Computer Algebra in Scientific Computing. pp. 213\u2013225 (2003)","key":"17_CR5"},{"unstructured":"Iwami, M.: Extension of Expansion Base Algorithm to Multivariate Analytic Factorizaion. In: Proceedings of the Seventh International Workshop on Computer Algebra in Scientific Computing, pp. 269\u2013281 (2004)","key":"17_CR6"},{"issue":"4","key":"17_CR7","doi-asserted-by":"publisher","first-page":"122","DOI":"10.1145\/1140378.1140383","volume":"39","author":"M. Iwami","year":"2005","unstructured":"Iwami, M.: Extension of expansion base algorithm for multivariate analytic factorization including the case of singular leading coefficient. ACM SIGSAM Bulletin\u00a039(4), 122\u2013126 (2005)","journal-title":"ACM SIGSAM Bulletin"},{"issue":"6","key":"17_CR8","doi-asserted-by":"crossref","first-page":"1101","DOI":"10.4153\/CJM-1989-048-7","volume":"XLI","author":"T.C. Kuo","year":"1989","unstructured":"Kuo, T.C.: Generalized Newton-Puiseux Theory and Hensel\u2019s Lemma in C[[x,y]]. Can. J. Math.,\u00a0XLI(6), 1101\u20131116 (1989)","journal-title":"Can. J. Math.,"},{"key":"17_CR9","doi-asserted-by":"publisher","first-page":"509","DOI":"10.1006\/jsco.1997.0150","volume":"24","author":"S. McCallum","year":"1997","unstructured":"McCallum, S.: On Testing a Bivariate Polynomial for Analytic Reducibility. J. Symb. Comput.\u00a024, 509\u2013535 (1997)","journal-title":"J. Symb. Comput."},{"key":"17_CR10","doi-asserted-by":"publisher","first-page":"9","DOI":"10.1145\/373500.373502","volume":"34","author":"T. Sasaki","year":"2000","unstructured":"Sasaki, T., Inaba, D.: Hensel Construction of $\\rm F(x,u_1,\\dots,u_l),\\ l \\geq 2$ , at a Singular Point and Its Applications. SIGSAM Bulletin\u00a034, 9\u201317 (2000)","journal-title":"SIGSAM Bulletin"},{"key":"17_CR11","doi-asserted-by":"publisher","first-page":"257","DOI":"10.1007\/BF03167329","volume":"16","author":"T. Sasaki","year":"1999","unstructured":"Sasaki, T., Kako, F.: Solving Multivariate Algebraic Equation by Hensel Construction. Japan J. Indus. Appl. Math.\u00a016, 257\u2013285 (1999)","journal-title":"Japan J. Indus. Appl. Math."},{"unstructured":"Sasaki, T.: Properties of Extended Hensel Factors and Application to Approximate Factorization. Preprint, Univ. Tsukuba (2000)","key":"17_CR12"}],"container-title":["Lecture Notes in Computer Science","Computer Algebra in Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-75187-8_17.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T10:54:42Z","timestamp":1619520882000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-75187-8_17"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[null]]},"ISBN":["9783540751861","9783540751878"],"references-count":12,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-75187-8_17","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[]}}