{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,26]],"date-time":"2026-01-26T00:23:59Z","timestamp":1769387039318,"version":"3.49.0"},"publisher-location":"New York, NY, USA","reference-count":39,"publisher":"ACM","license":[{"start":{"date-parts":[[2023,7,24]],"date-time":"2023-07-24T00:00:00Z","timestamp":1690156800000},"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":[[2023,7,24]]},"DOI":"10.1145\/3597066.3597096","type":"proceedings-article","created":{"date-parts":[[2023,7,5]],"date-time":"2023-07-05T18:15:27Z","timestamp":1688580927000},"page":"417-424","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":2,"title":["Factorization and root-finding for polynomials over division quaternion algebras"],"prefix":"10.1145","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-0952-5738","authenticated-orcid":false,"given":"Przemys\u0142aw","family":"Koprowski","sequence":"first","affiliation":[{"name":"Institute of Mathematics, University of Silesia in Katowice, Poland"}]}],"member":"320","published-online":{"date-parts":[[2023,7,24]]},"reference":[{"key":"e_1_3_2_1_1_1","first-page":"9","article-title":"A lecture on the complexity of factoring polynomials over global fields","volume":"5","author":"Ayad Ali","year":"2010","unstructured":"Ali Ayad. 2010. A lecture on the complexity of factoring polynomials over global fields. Int. Math. Forum 5, 9-12 (2010), 477\u2013486.","journal-title":"Int. Math. Forum"},{"key":"e_1_3_2_1_2_1","volume-title":"Sur les \u00e9quations polynomiales dans les quaternions. Enseign. Math. (2) 25, 3-4","author":"Beck Bernard","year":"1979","unstructured":"Bernard Beck. 1979. Sur les \u00e9quations polynomiales dans les quaternions. Enseign. Math. (2) 25, 3-4 (1979), 193\u2013201 (1980)."},{"key":"e_1_3_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.5802\/jtnb.655"},{"key":"e_1_3_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1996.0125"},{"key":"e_1_3_2_1_5_1","unstructured":"John Cannon Wieb Bosma Claus Fieker and Allan\u00a0Steel (eds.). 2022. Handbook of Magma Functions (2.27-7 ed.)."},{"key":"e_1_3_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-02-01480-1"},{"key":"e_1_3_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2018.04.013"},{"key":"e_1_3_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1007\/s10543-017-0667-8"},{"key":"e_1_3_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.2307\/1994114"},{"key":"e_1_3_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.2307\/1994565"},{"key":"e_1_3_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.1137\/090748871"},{"key":"e_1_3_2_1_12_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jco.2013.03.001"},{"key":"e_1_3_2_1_13_1","doi-asserted-by":"publisher","DOI":"10.5802\/jtnb.227"},{"key":"e_1_3_2_1_14_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1996.0140"},{"key":"e_1_3_2_1_15_1","doi-asserted-by":"publisher","unstructured":"Przemys\u0142aw Koprowski. 2021. Isotropic vectors over global fields. https:\/\/doi.org\/10.48550\/ARXIV.2111.08569 arXiv https:\/\/arxiv.org\/abs\/2111.08569.","DOI":"10.48550\/ARXIV.2111.08569"},{"key":"e_1_3_2_1_16_1","doi-asserted-by":"publisher","unstructured":"Przemys\u0142aw Koprowski. 2023. Computing square roots in quaternion algebras. https:\/\/doi.org\/10.48550\/ARXIV.2301.00743 arXiv https:\/\/arxiv.org\/abs\/2301.00743.","DOI":"10.48550\/ARXIV.2301.00743"},{"key":"e_1_3_2_1_17_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-8616-0"},{"key":"e_1_3_2_1_18_1","volume-title":"Vol.\u00a067","author":"Lam Tsit-Yuen","unstructured":"Tsit-Yuen Lam. 2005. Introduction to quadratic forms over fields. Graduate Studies in Mathematics, Vol.\u00a067. American Mathematical Society, Providence, RI. xxii+550 pages."},{"key":"e_1_3_2_1_19_1","doi-asserted-by":"publisher","DOI":"10.1137\/0214015"},{"key":"e_1_3_2_1_20_1","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-12868-9_108"},{"key":"e_1_3_2_1_21_1","doi-asserted-by":"publisher","DOI":"10.1007\/s13366-022-00629-z"},{"key":"e_1_3_2_1_22_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.cam.2018.09.045"},{"key":"e_1_3_2_1_23_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2005.03.003"},{"key":"e_1_3_2_1_24_1","doi-asserted-by":"publisher","DOI":"10.2307\/2303304"},{"key":"e_1_3_2_1_25_1","doi-asserted-by":"publisher","DOI":"10.2307\/1968173"},{"key":"e_1_3_2_1_26_1","doi-asserted-by":"publisher","DOI":"10.4064\/aa-19-1-89-104"},{"key":"e_1_3_2_1_27_1","doi-asserted-by":"publisher","DOI":"10.1017\/CBO9780511566028"},{"key":"e_1_3_2_1_28_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2004.05.002"},{"key":"e_1_3_2_1_29_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.tcs.2019.10.024"},{"key":"e_1_3_2_1_30_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00006-021-01133-8"},{"key":"e_1_3_2_1_31_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0898-1221(01)00235-8"},{"key":"e_1_3_2_1_32_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2018.06.001"},{"key":"e_1_3_2_1_33_1","unstructured":"The Sage Developers. 2022. SageMath the Sage Mathematics Software System (Version 9.5). https:\/\/www.sagemath.org."},{"key":"e_1_3_2_1_34_1","doi-asserted-by":"publisher","DOI":"10.5802\/jtnb.560"},{"key":"e_1_3_2_1_35_1","doi-asserted-by":"publisher","DOI":"10.1145\/1993886.1993937"},{"key":"e_1_3_2_1_36_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2012.05.010"},{"key":"e_1_3_2_1_37_1","volume-title":"Vol.\u00a0800","author":"Vign\u00e9ras Marie-France","unstructured":"Marie-France Vign\u00e9ras. 1980. Arithm\u00e9tique des alg\u00e8bres de quaternions. Lecture Notes in Mathematics, Vol.\u00a0800. Springer, Berlin. vii+169 pages."},{"key":"e_1_3_2_1_38_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4614-7488-3_10"},{"key":"e_1_3_2_1_39_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-56694-4"}],"event":{"name":"ISSAC 2023: International Symposium on Symbolic and Algebraic Computation 2023","location":"Troms\u00f8 Norway","acronym":"ISSAC 2023"},"container-title":["Proceedings of the 2023 International Symposium on Symbolic and Algebraic Computation"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3597066.3597096","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3597066.3597096","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,22]],"date-time":"2025-08-22T09:36:37Z","timestamp":1755855397000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3597066.3597096"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7,24]]},"references-count":39,"alternative-id":["10.1145\/3597066.3597096","10.1145\/3597066"],"URL":"https:\/\/doi.org\/10.1145\/3597066.3597096","relation":{},"subject":[],"published":{"date-parts":[[2023,7,24]]},"assertion":[{"value":"2023-07-24","order":3,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}