{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,21]],"date-time":"2025-09-21T17:46:42Z","timestamp":1758476802584,"version":"3.41.0"},"publisher-location":"New York, NY, USA","reference-count":35,"publisher":"ACM","license":[{"start":{"date-parts":[[2021,7,18]],"date-time":"2021-07-18T00:00:00Z","timestamp":1626566400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.acm.org\/publications\/policies\/copyright_policy#Background"}],"funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["CCF-1900881, DMS-1757872"],"award-info":[{"award-number":["CCF-1900881, DMS-1757872"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[2021,7,18]]},"DOI":"10.1145\/3452143.3465554","type":"proceedings-article","created":{"date-parts":[[2021,7,13]],"date-time":"2021-07-13T22:32:21Z","timestamp":1626215541000},"page":"337-344","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["A Complexity Chasm for Solving Univariate Sparse Polynomial Equations Over p-adic Fields"],"prefix":"10.1145","author":[{"given":"J. Maurice","family":"Rojas","sequence":"first","affiliation":[{"name":"Texas A&amp;M University, College Station, TX, USA"}]},{"given":"Yuyu","family":"Zhu","sequence":"additional","affiliation":[{"name":"Texas A&amp;M University, College Station, TX, USA"}]}],"member":"320","published-online":{"date-parts":[[2021,7,18]]},"reference":[{"key":"e_1_3_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2011.09.007"},{"key":"e_1_3_2_1_2_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jco.2017.11.008"},{"key":"e_1_3_2_1_3_1","volume-title":"Bivariate trinomials over finite fields. Houston Journal of Mathematics, to appear","author":"Jorge Mart\u00edn-Morales Martn Avenda","year":"2021","unstructured":"Martn Avenda no and Jorge Mart\u00edn-Morales. Bivariate trinomials over finite fields. Houston Journal of Mathematics, to appear, 2021."},{"key":"e_1_3_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jnt.2011.01.006"},{"key":"e_1_3_2_1_5_1","volume-title":"MIT Press","author":"Bach Eric","year":"1996","unstructured":"Eric Bach and Jeffrey Shallit. Algorithmic number theory, volume 1: efficient algorithms. MIT Press, Cambridge, Massachusetts, 1996."},{"key":"e_1_3_2_1_6_1","first-page":"37","volume-title":"Number theory (Eger","author":"Baker A.","year":"1996","unstructured":"A. Baker. Logarithmic forms and the abc-conjecture. In Number theory (Eger, 1996), pages 37--44. de Gruyter, Berlin, 1998."},{"key":"e_1_3_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1112\/S1461157013000089"},{"key":"e_1_3_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1007\/s00200-013-0200-5"},{"key":"e_1_3_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1137\/1030134"},{"key":"e_1_3_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1007\/10722028_10"},{"key":"e_1_3_2_1_11_1","volume-title":"Notes on Hensel's Lemma. Downloadable from https:\/\/kconrad.math.uconn.edu\/blurbs\/gradnumthy\/hensel.pdf","author":"Conrad Keith","year":"2021","unstructured":"Keith Conrad. Notes on Hensel's Lemma. Downloadable from https:\/\/kconrad.math.uconn.edu\/blurbs\/gradnumthy\/hensel.pdf, 2021."},{"key":"e_1_3_2_1_12_1","volume-title":"34th Computational Complexity Conference","volume":"137","author":"Dwivedi Ashish","year":"2019","unstructured":"Ashish Dwivedi, Rajat Mittal, and Nitin Saxena. Counting basic-irreducible factors mod p k in deterministic poly-time and p-adic applications. In 34th Computational Complexity Conference, volume 137 of LIPIcs. Leibniz Int. Proc. Inform., pages Art. No. 15, 29. Schloss Dagstuhl. Leibniz-Zent. Inform., Wadern, 2019."},{"key":"e_1_3_2_1_13_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2012.03.001"},{"key":"e_1_3_2_1_14_1","volume-title":"Integer multiplication in time O(n log n). HAL preprint, https:\/\/hal.archives-ouvertes.fr\/hal-02070778","author":"Harvey David","year":"2019","unstructured":"David Harvey and Joris van der Hoeven. Integer multiplication in time O(n log n). HAL preprint, https:\/\/hal.archives-ouvertes.fr\/hal-02070778, 2019."},{"key":"e_1_3_2_1_15_1","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.35.8.477"},{"key":"e_1_3_2_1_16_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2019.02.004"},{"key":"e_1_3_2_1_17_1","volume-title":"A Wronskian approach to the real \u03c4-conjecture. J. Symbolic Comput., 68(part 2):195--214","author":"Koiran Pascal","year":"2015","unstructured":"Pascal Koiran, Natacha Portier, and S\u00e9bastien Tavenas. A Wronskian approach to the real \u03c4-conjecture. J. Symbolic Comput., 68(part 2):195--214, 2015."},{"key":"e_1_3_2_1_18_1","doi-asserted-by":"publisher","DOI":"10.1090\/mcom\/3431"},{"key":"e_1_3_2_1_19_1","first-page":"277","article-title":"On the factorization of lacunary polynomials","volume":"1","author":"Lenstra Hendrik W","year":"1999","unstructured":"Hendrik W Lenstra. On the factorization of lacunary polynomials. Number Theory in Progress, 1:277--291, 1999.","journal-title":"Number Theory in Progress"},{"key":"e_1_3_2_1_20_1","doi-asserted-by":"publisher","DOI":"10.1307\/mmj\/1028999140"},{"key":"e_1_3_2_1_21_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01198012"},{"key":"e_1_3_2_1_22_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02546329"},{"key":"e_1_3_2_1_23_1","doi-asserted-by":"publisher","DOI":"10.4310\/MRL.1998.v5.n3.a2"},{"key":"e_1_3_2_1_24_1","doi-asserted-by":"publisher","DOI":"10.1090\/conm\/722\/14528"},{"key":"e_1_3_2_1_25_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-3254-2"},{"key":"e_1_3_2_1_26_1","volume-title":"A complexity chasm for solving sparse polynomial equations over p-adic fields (extended version with appendix). ArXiv, https:\/\/arxiv.org\/abs\/2003.00314","author":"Maurice Rojas J.","year":"2021","unstructured":"J. Maurice Rojas and Yuyu Zhu. A complexity chasm for solving sparse polynomial equations over p-adic fields (extended version with appendix). ArXiv, https:\/\/arxiv.org\/abs\/2003.00314, 2021."},{"key":"e_1_3_2_1_27_1","doi-asserted-by":"publisher","DOI":"10.1145\/2608628.2608632"},{"key":"e_1_3_2_1_28_1","series-title":"Cambridge Studies in Advanced Mathematics","volume-title":"Ultrametric calculus","author":"Schikhof W. H.","year":"2006","unstructured":"W. H. Schikhof. Ultrametric calculus, volume 4 of Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge, 2006. An introduction to p-adic analysis, Reprint of the 1984 original [MR0791759]."},{"key":"e_1_3_2_1_29_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4684-9884-4"},{"key":"e_1_3_2_1_30_1","doi-asserted-by":"publisher","DOI":"10.1016\/0304-3975(95)00164-6"},{"key":"e_1_3_2_1_31_1","first-page":"185","volume-title":"The merging of disciplines: new directions in pure, applied, and computational mathematics (Laramie, Wyo.","author":"Smale Steve","year":"1985","unstructured":"Steve Smale. Newton's method estimates from data at one point. In The merging of disciplines: new directions in pure, applied, and computational mathematics (Laramie, Wyo., 1985), pages 185--196. Springer, New York, 1986."},{"key":"e_1_3_2_1_32_1","volume-title":"The correspondence of Isaac Newton","author":"Turnbull H. W.","year":"1960","unstructured":"H. W. Turnbull, editor. The correspondence of Isaac Newton, Vol. II: 1676--1687. Cambridge University Press, New York, 1960. Published for the Royal Society."},{"key":"e_1_3_2_1_33_1","doi-asserted-by":"publisher","DOI":"10.5555\/2512973"},{"key":"e_1_3_2_1_34_1","series-title":"International series in pure and applied mathematics","volume-title":"Algebraic number theory","author":"Weiss Edwin","year":"1963","unstructured":"Edwin Weiss. Algebraic number theory. International series in pure and applied mathematics. McGraw-Hill, 1963."},{"key":"e_1_3_2_1_35_1","volume-title":"Linear forms in p-adic logarithms III. Compositio Mathematica, 3(241--276)","author":"Yu Kunrui","year":"1994","unstructured":"Kunrui Yu. Linear forms in p-adic logarithms III. Compositio Mathematica, 3(241--276), 1994."}],"event":{"name":"ISSAC '21: International Symposium on Symbolic and Algebraic Computation","sponsor":["SIGSAM ACM Special Interest Group on Symbolic and Algebraic Manipulation"],"location":"Virtual Event Russian Federation","acronym":"ISSAC '21"},"container-title":["Proceedings of the 2021 International Symposium on Symbolic and Algebraic Computation"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3452143.3465554","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3452143.3465554","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3452143.3465554","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,17]],"date-time":"2025-06-17T20:48:08Z","timestamp":1750193288000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/3452143.3465554"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,7,18]]},"references-count":35,"alternative-id":["10.1145\/3452143.3465554","10.1145\/3452143"],"URL":"https:\/\/doi.org\/10.1145\/3452143.3465554","relation":{},"subject":[],"published":{"date-parts":[[2021,7,18]]},"assertion":[{"value":"2021-07-18","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}