{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,10]],"date-time":"2025-11-10T13:50:05Z","timestamp":1762782605693,"version":"3.41.0"},"publisher-location":"New York, NY, USA","reference-count":40,"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":[{"name":"National Key Research and Development Project","award":["2020YFA0712300"],"award-info":[{"award-number":["2020YFA0712300"]}]},{"name":"Austrian FWF","award":["P31571-N32"],"award-info":[{"award-number":["P31571-N32"]}]},{"name":"Fund of the Youth Innovation Promotion Association, CAS","award":["2018001"],"award-info":[{"award-number":["2018001"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11871067, 11688101"],"award-info":[{"award-number":["11871067, 11688101"]}],"id":[{"id":"10.13039\/501100001809","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\/3452143.3465528","type":"proceedings-article","created":{"date-parts":[[2021,7,13]],"date-time":"2021-07-13T22:32:21Z","timestamp":1626215541000},"page":"75-82","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":10,"title":["Lazy Hermite Reduction and Creative Telescoping for Algebraic Functions"],"prefix":"10.1145","author":[{"given":"Shaoshi","family":"Chen","sequence":"first","affiliation":[{"name":"Academy of Mathematics and Systems Science, Chinese Academy of Sciences &amp; University of Chinese Academy of Sciences, Beijing, China"}]},{"given":"Lixin","family":"Du","sequence":"additional","affiliation":[{"name":"Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Univ. of Chinese Academy of Sciences, &amp; Johannes Kepler, Beijing &amp; Linz ( Austria), China"}]},{"given":"Manuel","family":"Kauers","sequence":"additional","affiliation":[{"name":"Johannes Kepler University, Linz, Austria"}]}],"member":"320","published-online":{"date-parts":[[2021,7,18]]},"reference":[{"key":"e_1_3_2_1_1_1","unstructured":"http:\/\/www.algebra.uni-linz.ac.at\/people\/mkauers\/lazyhermite\/."},{"key":"e_1_3_2_1_2_1","volume-title":"Sceaux, 1992","author":"Abel Niels H.","year":"1881","unstructured":"Niels H. Abel. \u00d8E uvres Compl\u00e8tes. Tome I. \u00c9ditions Jacques Gabay, Sceaux, 1992. Edited and with a preface by L. Sylow and S. Lie, Reprint of the second (1881) edition."},{"key":"e_1_3_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-030-60026-6_3"},{"key":"e_1_3_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1080\/00029890.1976.11994141"},{"key":"e_1_3_2_1_5_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0747-7171(08)80159-9"},{"key":"e_1_3_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2020.07.007"},{"key":"e_1_3_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1145\/1837934.1837975"},{"key":"e_1_3_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1145\/2465506.2465946"},{"key":"e_1_3_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1145\/3208976.3208992"},{"key":"e_1_3_2_1_10_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.ejc.2016.10.010"},{"key":"e_1_3_2_1_11_1","doi-asserted-by":"publisher","DOI":"10.1145\/2465506.2465935"},{"key":"e_1_3_2_1_12_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0747-7171(08)80027-2"},{"key":"e_1_3_2_1_14_1","volume-title":"ISSAC'98","author":"Bronstein Manuel","year":"1998","unstructured":"Manuel Bronstein. Symbolic integration tutorial. ISSAC'98, 1998."},{"key":"e_1_3_2_1_15_1","doi-asserted-by":"publisher","DOI":"10.1007\/b138957"},{"key":"e_1_3_2_1_16_1","doi-asserted-by":"publisher","DOI":"10.1145\/2755996.2756648"},{"key":"e_1_3_2_1_17_1","doi-asserted-by":"publisher","DOI":"10.1145\/2930889.2930901"},{"key":"e_1_3_2_1_18_1","doi-asserted-by":"publisher","DOI":"10.1145\/2442829.2442851"},{"key":"e_1_3_2_1_19_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2017.07.005"},{"key":"e_1_3_2_1_20_1","volume-title":"Gr\u00f6bner Bases and Applications","author":"Chyzak Fr\u00e9d\u00e9ric","year":"1997","unstructured":"Fr\u00e9d\u00e9ric Chyzak. Gr\u00f6bner bases, symbolic summation and symbolic integration. In Gr\u00f6bner Bases and Applications. Cambridge University Press, 1997."},{"key":"e_1_3_2_1_21_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(99)00259-9"},{"key":"e_1_3_2_1_22_1","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-10290-6"},{"key":"e_1_3_2_1_23_1","doi-asserted-by":"publisher","DOI":"10.1007\/b102438"},{"key":"e_1_3_2_1_24_1","doi-asserted-by":"publisher","DOI":"10.24033\/asens.82"},{"key":"e_1_3_2_1_26_1","volume-title":"A fast approach to creative telescoping. Mathematics in Computer Science, 4(2--3):259--266","author":"Koutschan Christoph","year":"2010","unstructured":"Christoph Koutschan. A fast approach to creative telescoping. Mathematics in Computer Science, 4(2--3):259--266, 2010."},{"key":"e_1_3_2_1_27_1","series-title":"RISC Report Series","volume-title":"Technical Report 10-01","author":"Koutschan Christoph","year":"2010","unstructured":"Christoph Koutschan. HolonomicFunctions (User's Guide). Technical Report 10-01, RISC Report Series, University of Linz, Austria, January 2010."},{"key":"e_1_3_2_1_28_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-7091-1616-6_7"},{"key":"e_1_3_2_1_29_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jco.2017.03.003"},{"key":"e_1_3_2_1_30_1","doi-asserted-by":"publisher","DOI":"10.1090\/mcom\/3054"},{"key":"e_1_3_2_1_31_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0989-8"},{"key":"e_1_3_2_1_32_1","first-page":"737","article-title":"Algebraic curves over fields with differentiation","volume":"22","author":"Manin Ju. I.","year":"1958","unstructured":"Ju. I. Manin. Algebraic curves over fields with differentiation. Izv. Akad. Nauk SSSR. Ser. Mat., 22:737--756, 1958.","journal-title":"Izv. Akad. Nauk SSSR. Ser. Mat."},{"key":"e_1_3_2_1_33_1","doi-asserted-by":"publisher","DOI":"10.1137\/050643866"},{"key":"e_1_3_2_1_34_1","first-page":"393","article-title":"Sur les periodes des integrales doubles et sur une classe d'equations differentielles lineaires. Annales scientifiques de l'E.","volume":"50","author":"Picard Emile","year":"1933","unstructured":"Emile Picard. Sur les periodes des integrales doubles et sur une classe d'equations differentielles lineaires. Annales scientifiques de l'E.N.S., 50:393--395, 1933.","journal-title":"N.S."},{"key":"e_1_3_2_1_35_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1970-12454-5"},{"key":"e_1_3_2_1_36_1","doi-asserted-by":"publisher","DOI":"10.7312\/ritt91596"},{"key":"e_1_3_2_1_37_1","volume-title":"American Mathematical Society Colloquium Publications","author":"Ritt Joseph F.","year":"1950","unstructured":"Joseph F. Ritt. Differential Algebra. American Mathematical Society Colloquium Publications, Vol. XXXIII. American Mathematical Society, New York, N. Y., 1950."},{"key":"e_1_3_2_1_38_1","doi-asserted-by":"publisher","DOI":"10.1145\/120694.120715"},{"key":"e_1_3_2_1_40_1","first-page":"1","volume-title":"Communication and Computing","author":"van der Hoeven Joris","year":"2020","unstructured":"Joris van der Hoeven. Constructing reductions for creative telescoping. Applicable Algebra in Engineering, Communication and Computing, pages 1--28, 2020."},{"key":"e_1_3_2_1_41_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1994.1051"},{"key":"e_1_3_2_1_42_1","doi-asserted-by":"publisher","DOI":"10.1016\/0377-0427(90)90042-X"},{"key":"e_1_3_2_1_43_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0747-7171(08)80044-2"}],"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\/3452143.3465528","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/3452143.3465528","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\/3452143.3465528"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,7,18]]},"references-count":40,"alternative-id":["10.1145\/3452143.3465528","10.1145\/3452143"],"URL":"https:\/\/doi.org\/10.1145\/3452143.3465528","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"}}]}}