{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,12,29]],"date-time":"2022-12-29T05:16:46Z","timestamp":1672291006111},"reference-count":10,"publisher":"Association for Computing Machinery (ACM)","issue":"4","content-domain":{"domain":["dl.acm.org"],"crossmark-restriction":true},"short-container-title":["SIGSAM Bull."],"published-print":{"date-parts":[[2004,12]]},"abstract":"<jats:p>\n            Brizolis asked the question: does every prime\n            <jats:italic>p<\/jats:italic>\n            have a pair (\n            <jats:italic>g, h<\/jats:italic>\n            ) such that\n            <jats:italic>h<\/jats:italic>\n            is a fixed point for the discrete logarithm with base\n            <jats:italic>g<\/jats:italic>\n            ? This author and Pieter Moree, building on work of Zhang, Cobeli, and Zaharescu, gave heuristics for estimating the number of such pairs and proved bounds on the error in the estimates. These bounds are not descriptive of the true situation, however, and this paper is a first attempt to collect and analyze some data on the distribution of the actual error in the estimates.\n          <\/jats:p>","DOI":"10.1145\/1060328.1060329","type":"journal-article","created":{"date-parts":[[2007,1,17]],"date-time":"2007-01-17T18:32:02Z","timestamp":1169058722000},"page":"111-118","update-policy":"http:\/\/dx.doi.org\/10.1145\/crossmark-policy","source":"Crossref","is-referenced-by-count":0,"title":["Distribution of the error in estimated numbers of fixed points of the discrete logarithm"],"prefix":"10.1145","volume":"38","author":[{"given":"Joshua","family":"Holden","sequence":"first","affiliation":[{"name":"Rose-Hulman Institute of Technology, Terre Haute, IN"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"320","published-online":{"date-parts":[[2004,12]]},"reference":[{"key":"e_1_2_1_1_1","doi-asserted-by":"publisher","DOI":"10.1137\/0213053"},{"key":"e_1_2_1_2_1","unstructured":"Mariana Campbell. On fixed points for discrete logarithms. Master's thesis University of California at Berkeley Spring 2003.]]  Mariana Campbell. On fixed points for discrete logarithms. Master's thesis University of California at Berkeley Spring 2003.]]"},{"issue":"1","key":"e_1_2_1_3_1","first-page":"15","article-title":"An exponential congruence with solutions in primitive roots","volume":"44","author":"Cobeli Cristian","year":"1999","journal-title":"Rev. Roumaine Math. Pures Appl."},{"key":"e_1_2_1_4_1","doi-asserted-by":"publisher","DOI":"10.1007\/BF01388980"},{"key":"e_1_2_1_5_1","volume-title":"Springer","author":"Gennaro Rosario","year":"2000"},{"key":"e_1_2_1_6_1","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4757-1738-9"},{"key":"e_1_2_1_7_1","doi-asserted-by":"crossref","unstructured":"Joshua Holden and Pieter Moree. New conjectures and results for small cycles of the discrete logarithm. In Alf van der Poorten and Andreas Stein editors High Primes and Misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie Williams number 41 in Fields Institute Communications pages 245--254. American Mathematical Society 2004. http:\/\/xxx.lanl.gov\/abs\/math.NT\/0305305.]]  Joshua Holden and Pieter Moree. New conjectures and results for small cycles of the discrete logarithm. In Alf van der Poorten and Andreas Stein editors High Primes and Misdemeanours: lectures in honour of the 60th birthday of Hugh Cowie Williams number 41 in Fields Institute Communications pages 245--254. American Mathematical Society 2004. http:\/\/xxx.lanl.gov\/abs\/math.NT\/0305305.]]","DOI":"10.1090\/fic\/041\/20"},{"key":"e_1_2_1_8_1","doi-asserted-by":"publisher","DOI":"10.1090\/S0025-5718-05-01768-0"},{"key":"e_1_2_1_9_1","volume-title":"Springer","author":"Patel Sarvar","year":"1998"},{"key":"e_1_2_1_10_1","unstructured":"Wen Peng Zhang. On a problem of Brizolis. Pure Appl. Math. 11(suppl.): 1--3 1995.]]  Wen Peng Zhang. On a problem of Brizolis. Pure Appl. Math. 11(suppl.): 1--3 1995.]]"}],"container-title":["ACM SIGSAM Bulletin"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/dl.acm.org\/doi\/pdf\/10.1145\/1060328.1060329","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,12,28]],"date-time":"2022-12-28T17:05:40Z","timestamp":1672247140000},"score":1,"resource":{"primary":{"URL":"https:\/\/dl.acm.org\/doi\/10.1145\/1060328.1060329"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2004,12]]},"references-count":10,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2004,12]]}},"alternative-id":["10.1145\/1060328.1060329"],"URL":"https:\/\/doi.org\/10.1145\/1060328.1060329","relation":{},"ISSN":["0163-5824"],"issn-type":[{"value":"0163-5824","type":"print"}],"subject":[],"published":{"date-parts":[[2004,12]]},"assertion":[{"value":"2004-12-01","order":2,"name":"published","label":"Published","group":{"name":"publication_history","label":"Publication History"}}]}}