{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,6,19]],"date-time":"2025-06-19T04:39:27Z","timestamp":1750307967131,"version":"3.41.0"},"publisher-location":"New York, NY, USA","reference-count":23,"publisher":"ACM","license":[{"start":{"date-parts":[[2007,7,29]],"date-time":"2007-07-29T00:00:00Z","timestamp":1185667200000},"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":[[2007,7,29]]},"DOI":"10.1145\/1277548.1277561","type":"proceedings-article","created":{"date-parts":[[2007,12,7]],"date-time":"2007-12-07T19:19:41Z","timestamp":1197055181000},"page":"85-91","update-policy":"https:\/\/doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":4,"title":["Time-and space-efficient evaluation of some hypergeometric constants"],"prefix":"10.1145","author":[{"given":"Howard","family":"Cheng","sequence":"first","affiliation":[{"name":"Univ. of Lethbridge"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Guillaume","family":"Hanrot","sequence":"additional","affiliation":[{"name":"INRIA Lorraine\/LORIA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Emmanuel","family":"Thom\u00e9","sequence":"additional","affiliation":[{"name":"INRIA Lorraine\/LORIA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Paul","family":"Zimmermann","sequence":"additional","affiliation":[{"name":"INRIA Lorraine\/LORIA"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Eugene","family":"Zima","sequence":"additional","affiliation":[{"name":"Wilfrid Laurier University"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2007,7,29]]},"reference":[{"key":"e_1_3_2_1_1_1","unstructured":"Bernstein D. J. Fast multiplication and its applications. http:\/\/cr.yp.to\/papers.html 2004.  Bernstein D. J. Fast multiplication and its applications. http:\/\/cr.yp.to\/papers.html 2004."},{"key":"e_1_3_2_1_2_1","volume-title":"Pi and the AGM","author":"Borwein J.","year":"1987","unstructured":"Borwein , J. and Borwein , P . Pi and the AGM . John Wiley and Sons , 1987 . Borwein, J. and Borwein, P. Pi and the AGM. John Wiley and Sons, 1987."},{"key":"e_1_3_2_1_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0377-0427(00)00336-8"},{"key":"e_1_3_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1145\/321941.321944"},{"key":"e_1_3_2_1_5_1","series-title":"Lecture Notes in Pure and Appl","volume-title":"CA","author":"Chudnovsky D.","year":"1986","unstructured":"Chudnovsky , D. , Chudnovsky G. Computer algebra in the service of mathematical physics and number theory. Computers in mathematics (Stanford , CA , 1986 ), 109--232, Lecture Notes in Pure and Appl . Math., 125, Dekker , New York, 1990. Chudnovsky, D., Chudnovsky G. Computer algebra in the service of mathematical physics and number theory. Computers in mathematics (Stanford, CA, 1986), 109--232, Lecture Notes in Pure and Appl. Math., 125, Dekker, New York, 1990."},{"key":"e_1_3_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1145\/1101884.1101886"},{"key":"e_1_3_2_1_7_1","doi-asserted-by":"publisher","DOI":"10.1145\/345542.345581"},{"key":"e_1_3_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1145\/1236463.1236468"},{"key":"e_1_3_2_1_9_1","doi-asserted-by":"publisher","DOI":"10.1145\/1277548.1277572"},{"key":"e_1_3_2_1_10_1","first-page":"261","volume-title":"Computers in Mathematics","author":"Gosper R.","year":"1990","unstructured":"Gosper , R. Strip mining in the abandoned orefields of nineteenth century mathematics . Computers in Mathematics ( 1990 ), pp. 261 -- 284 . Gosper, R. Strip mining in the abandoned orefields of nineteenth century mathematics. Computers in Mathematics (1990), pp. 261--284."},{"key":"e_1_3_2_1_11_1","unstructured":"Gourdon X. and Sebah P. Binary splitting method. http:\/\/numbers.computation.free.fr\/Constants\/Algorithms\/splitting.html 2001.  Gourdon X. and Sebah P. Binary splitting method. http:\/\/numbers.computation.free.fr\/Constants\/Algorithms\/splitting.html 2001."},{"key":"e_1_3_2_1_12_1","volume-title":"The GNU Multiple Precision Arithmetic Library, 4.2.1 ed","author":"GMP","year":"2006","unstructured":"GMP : The GNU Multiple Precision Arithmetic Library, 4.2.1 ed ., 2006 . http:\/\/gmplib.org\/. GMP: The GNU Multiple Precision Arithmetic Library, 4.2.1 ed., 2006. http:\/\/gmplib.org\/."},{"key":"e_1_3_2_1_13_1","volume-title":"Third International Symposium, ANTS-III","volume":"1423","author":"Haible B.","year":"1998","unstructured":"Haible , B. , and Papanikolaou , T . Fast multiprecision evaluation of series of rational numbers. Algorithmic Number Theory , Third International Symposium, ANTS-III , volume 1423 of Lecture Notes in Computer Science, Springer , 1998 . Haible, B., and Papanikolaou, T. Fast multiprecision evaluation of series of rational numbers. Algorithmic Number Theory, Third International Symposium, ANTS-III, volume 1423 of Lecture Notes in Computer Science, Springer, 1998."},{"key":"e_1_3_2_1_14_1","first-page":"339","article-title":"Fast evaluation of transcendental functions","volume":"27","author":"Karatsuba E. A","year":"1991","unstructured":"Karatsuba , E. A . Fast evaluation of transcendental functions . In Problems of Information Transmission , 27 : 339 -- 360 , 1991 . Karatsuba, E. A. Fast evaluation of transcendental functions. In Problems of Information Transmission, 27: 339--360, 1991.","journal-title":"Problems of Information Transmission"},{"key":"e_1_3_2_1_15_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-0853-2"},{"key":"e_1_3_2_1_16_1","volume-title":"A Multitape Turing Machine Implementation","author":"Sch\u00f6nhage A.","year":"1994","unstructured":"Sch\u00f6nhage , A. , Grotefeld , A. F. W. , and Vetter , E . Fast Algorithms , A Multitape Turing Machine Implementation . BI-Wissenschaftsverlag , 1994 . Sch\u00f6nhage, A., Grotefeld, A. F. W., and Vetter, E. Fast Algorithms, A Multitape Turing Machine Implementation. BI-Wissenschaftsverlag, 1994."},{"key":"e_1_3_2_1_17_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF02242355"},{"key":"e_1_3_2_1_18_1","volume-title":"Introduction to Analytic and Probabilistic Number Theory","author":"Tenenbaum G.","year":"1995","unstructured":"Tenenbaum , G. Introduction to Analytic and Probabilistic Number Theory . Cambridge University Press , 1995 . Tenenbaum, G. Introduction to Analytic and Probabilistic Number Theory. Cambridge University Press, 1995."},{"key":"e_1_3_2_1_19_1","doi-asserted-by":"publisher","DOI":"10.1137\/S0097539702408636"},{"key":"e_1_3_2_1_20_1","doi-asserted-by":"publisher","DOI":"10.1016\/S0304-3975(98)00102-9"},{"key":"e_1_3_2_1_21_1","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.2000.0474"},{"key":"e_1_3_2_1_22_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsc.2006.12.005"},{"key":"e_1_3_2_1_23_1","volume-title":"gmp-chudnovsky.c code for computing digits of \u03a0 using the GNU MP library.","author":"Xue H.","year":"2002","unstructured":"Xue , H. gmp-chudnovsky.c code for computing digits of \u03a0 using the GNU MP library. Available at http:\/\/gmplib.org\/pi-with-gmp.html, 2002 . Xue, H. gmp-chudnovsky.c code for computing digits of \u03a0 using the GNU MP library. Available at http:\/\/gmplib.org\/pi-with-gmp.html, 2002."}],"event":{"name":"ISSAC07: International Symposium on Symbolic and Algebraic Computation","sponsor":["ACM Association for Computing Machinery","SIGSAM ACM Special Interest Group on Symbolic and Algebraic Manipulation"],"location":"Waterloo Ontario Canada","acronym":"ISSAC07"},"container-title":["Proceedings of the 2007 international symposium on Symbolic and algebraic computation"],"original-title":[],"link":[{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1277548.1277561","content-type":"unspecified","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1277548.1277561","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,6,18]],"date-time":"2025-06-18T14:58:13Z","timestamp":1750258693000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1277548.1277561"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,7,29]]},"references-count":23,"alternative-id":["10.1145\/1277548.1277561","10.1145\/1277548"],"URL":"https:\/\/doi.org\/10.1145\/1277548.1277561","relation":{},"subject":[],"published":{"date-parts":[[2007,7,29]]},"assertion":[{"value":"2007-07-29","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}