{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,20]],"date-time":"2026-02-20T18:13:01Z","timestamp":1771611181006,"version":"3.50.1"},"reference-count":44,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-1409504"],"award-info":[{"award-number":["DMS-1409504"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["CCF-1346564"],"award-info":[{"award-number":["CCF-1346564"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Discrete Math."],"published-print":{"date-parts":[[2021,1]]},"DOI":"10.1137\/18m1185570","type":"journal-article","created":{"date-parts":[[2021,7,22]],"date-time":"2021-07-22T14:32:57Z","timestamp":1626964377000},"page":"1628-1649","source":"Crossref","is-referenced-by-count":7,"title":["Entropy Inequalities for Sums in Prime Cyclic Groups"],"prefix":"10.1137","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2992-1829","authenticated-orcid":true,"given":"Mokshay","family":"Madiman","sequence":"first","affiliation":[]},{"given":"Liyao","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Jae Oh","family":"Woo","sequence":"additional","affiliation":[]}],"member":"351","published-online":{"date-parts":[[2021,7,22]]},"reference":[{"key":"atypb1","first-page":"19","author":"Abbe E.","year":"2017","journal-title":"Entropy"},{"key":"atypb2","first-page":"225","volume":"25","author":"Arak T. V.","year":"1980","journal-title":"Teor. Veroyatn. Primen."},{"key":"atypb3","first-page":"225","volume":"26","author":"Arak T. V.","year":"1981","journal-title":"Teor. Veroyatn. Primen."},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1214\/EJP.v15-799"},{"key":"atypb6","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2016.2580589"},{"key":"atypb8","first-page":"210","volume":"66","author":"Esseen C.","year":"1966","journal-title":"Probab. Theory Related Fields"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1945-08454-7"},{"key":"atypb10","doi-asserted-by":"publisher","DOI":"10.1016\/j.crma.2015.12.005"},{"key":"atypb12","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-01-02763-5"},{"key":"atypb13","doi-asserted-by":"crossref","first-page":"241","DOI":"10.4213\/tvp5107","volume":"62","author":"G\u00f6tze F.","year":"2017","journal-title":"Teor. Veroyatn. Primen."},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1007\/s11856-010-0053-6"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2317181"},{"key":"atypb18","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2053893"},{"key":"atypb19","first-page":"93","volume":"4","author":"Harremo\u00ebs P.","year":"2003","journal-title":"J. Inequal. Pure Appl. Math."},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2317692"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.1016\/j.dam.2011.08.025"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.1023\/A:1007818830500"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2010.2070570"},{"key":"atypb24","doi-asserted-by":"publisher","DOI":"10.1016\/0047-259X(76)90032-4"},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2004.840861"},{"key":"atypb26","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2322861"},{"key":"atypb28","doi-asserted-by":"publisher","DOI":"10.1215\/S0012-7094-01-10722-9"},{"key":"atypb29","first-page":"277","volume":"12","author":"Littlewood J. E.","year":"1943","journal-title":"Mat. Sb. N.S."},{"key":"atypb31","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2016.2620470"},{"key":"atypb33","doi-asserted-by":"publisher","DOI":"10.1002\/rsa.20385"},{"key":"atypb34","first-page":"427","author":"Madiman M.","year":"2017","journal-title":"New York"},{"key":"atypb36","doi-asserted-by":"publisher","DOI":"10.1016\/j.disc.2019.03.002"},{"key":"atypb38","doi-asserted-by":"publisher","DOI":"10.1007\/s00440-006-0043-0"},{"key":"atypb39","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2011.01.005"},{"key":"atypb40","first-page":"409","author":"Nguyen H. H.","year":"2013","journal-title":"Budapest"},{"key":"atypb41","doi-asserted-by":"publisher","DOI":"10.1112\/jlms\/s2-11.2.147"},{"key":"atypb42","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2008.01.010"},{"key":"atypb43","doi-asserted-by":"publisher","DOI":"10.1002\/rsa.20248"},{"key":"atypb44","doi-asserted-by":"publisher","DOI":"10.1109\/18.59938"},{"key":"atypb45","doi-asserted-by":"publisher","DOI":"10.1002\/j.1538-7305.1948.tb01338.x"},{"key":"atypb46","first-page":"1945","author":"Sharma N.","year":"2011","journal-title":"Petersburg"},{"key":"atypb47","doi-asserted-by":"publisher","DOI":"10.1016\/S0019-9958(59)90348-1"},{"key":"atypb48","doi-asserted-by":"publisher","DOI":"10.1017\/S0963548309990642"},{"key":"atypb50","doi-asserted-by":"publisher","DOI":"10.4007\/annals.2009.169.595"},{"key":"atypb51","first-page":"599","author":"Wang L.","year":"2013","journal-title":"Proceedings of the IEEE International Symposium on Information Theory, Istanbul"},{"key":"atypb52","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2014.2338852"},{"key":"atypb53","first-page":"2829","author":"Wang L.","year":"2014","journal-title":"Proceedings of the IEEE International Symposium on Information Theory, Honolulu"},{"key":"atypb55","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.1973.1055107"},{"key":"atypb56","doi-asserted-by":"publisher","DOI":"10.1109\/TIT.2009.2032727"}],"container-title":["SIAM Journal on Discrete Mathematics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/18M1185570","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,9,30]],"date-time":"2021-09-30T15:43:29Z","timestamp":1633016609000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/18M1185570"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,1]]},"references-count":44,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2021,1]]}},"alternative-id":["10.1137\/18M1185570"],"URL":"https:\/\/doi.org\/10.1137\/18m1185570","relation":{},"ISSN":["0895-4801","1095-7146"],"issn-type":[{"value":"0895-4801","type":"print"},{"value":"1095-7146","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,1]]}}}