{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,4]],"date-time":"2026-07-04T05:19:04Z","timestamp":1783142344076,"version":"3.54.6"},"reference-count":18,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12231001"],"award-info":[{"award-number":["12231001"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100003399","name":"Science and Technology Commission of Shanghai Municipality","doi-asserted-by":"publisher","award":["22DZ2229014"],"award-info":[{"award-number":["22DZ2229014"]}],"id":[{"id":"10.13039\/501100003399","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Finite Fields and Their Applications"],"published-print":{"date-parts":[[2026,10]]},"DOI":"10.1016\/j.ffa.2026.102866","type":"journal-article","created":{"date-parts":[[2026,6,8]],"date-time":"2026-06-08T12:03:18Z","timestamp":1780920198000},"page":"102866","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["On an analogue of the Ihara constant for exponential sums"],"prefix":"10.1016","volume":"115","author":[{"given":"Chung Pang","family":"Mok","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0004-7873-3228","authenticated-orcid":false,"given":"Xiaoyu","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"issue":"2","key":"10.1016\/j.ffa.2026.102866_br0010","doi-asserted-by":"crossref","first-page":"163","DOI":"10.4064\/aa164-2-6","article-title":"Galois towers over non-prime finite fields","volume":"164","author":"Bassa","year":"2014","journal-title":"Acta Arith."},{"issue":"1","key":"10.1016\/j.ffa.2026.102866_br0020","doi-asserted-by":"crossref","first-page":"1","DOI":"10.17323\/1609-4514-2015-15-1-1-29","article-title":"Towers of function fields over non-prime finite fields","volume":"15","author":"Bassa","year":"2015","journal-title":"Mosc. Math. J."},{"key":"10.1016\/j.ffa.2026.102866_br0030","doi-asserted-by":"crossref","first-page":"71","DOI":"10.2307\/2373048","article-title":"On exponential sums in finite fields","volume":"88","author":"Bombieri","year":"1966","journal-title":"Am. J. Math."},{"key":"10.1016\/j.ffa.2026.102866_br0040","series-title":"Cohomologie \u00c9tale","first-page":"168","article-title":"Applications de la formule des traces aux sommes trigonom\u00e9triques","volume":"vol. 569","author":"Deligne","year":"1977"},{"key":"10.1016\/j.ffa.2026.102866_br0050","doi-asserted-by":"crossref","first-page":"53","DOI":"10.1007\/BF01083182","article-title":"Number of points of an algebraic curve","volume":"17","author":"Drinfeld","year":"1983","journal-title":"Funct. Anal. Appl."},{"issue":"7","key":"10.1016\/j.ffa.2026.102866_br0060","doi-asserted-by":"crossref","first-page":"1108","DOI":"10.1112\/S0010437X12000796","article-title":"On lower bounds for the Ihara constants A(2) and A(3)","volume":"149","author":"Duursma","year":"2013","journal-title":"Compos. Math."},{"key":"10.1016\/j.ffa.2026.102866_br0070","series-title":"Coding Theory and Algebraic Geometry","first-page":"26","article-title":"On the different of abelian extensions of global fields","volume":"vol. 1518","author":"Frey","year":"1992"},{"issue":"1","key":"10.1016\/j.ffa.2026.102866_br0080","doi-asserted-by":"crossref","first-page":"211","DOI":"10.1007\/BF01884295","article-title":"A tower of Artin-Schreier extensions of function fields attaining the Drinfeld-Vl\u0103du\u0163 bound","volume":"121","author":"Garc\u00eda","year":"1995","journal-title":"Invent. Math."},{"issue":"3","key":"10.1016\/j.ffa.2026.102866_br0090","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1006\/ffta.1997.0185","article-title":"On towers and composita of towers of function fields over finite fields","volume":"3","author":"Garc\u00eda","year":"1997","journal-title":"Finite Fields Appl."},{"key":"10.1016\/j.ffa.2026.102866_br0100","first-page":"721","article-title":"Some remarks on the number of rational points of algebraic curves over finite fields","volume":"28","author":"Ihara","year":"1981","journal-title":"J. Fac. Sci. Univ. Tokyo"},{"issue":"1","key":"10.1016\/j.ffa.2026.102866_br0110","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1016\/0022-314X(91)90031-6","article-title":"Artin-Schreier curves, exponential sums, and the Carlitz-Uchiyama bound for geometric codes","volume":"39","author":"Lachaud","year":"1991","journal-title":"J. Number Theory"},{"key":"10.1016\/j.ffa.2026.102866_br0120","series-title":"Algebra","author":"Lang","year":"1999"},{"key":"10.1016\/j.ffa.2026.102866_br0130","article-title":"Rational Points on Curves over Finite Field","volume":"vol. 285","author":"Niederreiter","year":"2001"},{"key":"10.1016\/j.ffa.2026.102866_br0140","article-title":"Rational Points on Curves over Finite Fields","volume":"vol. 18","author":"Serre","year":"2020"},{"key":"10.1016\/j.ffa.2026.102866_br0150","article-title":"Algebraic Function Fields and Codes","volume":"vol. 254","author":"Stichtenoth","year":"2009"},{"key":"10.1016\/j.ffa.2026.102866_br0160","series-title":"Coding Theory and Algebraic Geometry","first-page":"178","article-title":"Some remarks on the asymptotic number of points","volume":"vol. 1518","author":"Tsfasman","year":"1992"},{"issue":"5","key":"10.1016\/j.ffa.2026.102866_br0170","doi-asserted-by":"crossref","first-page":"1445","DOI":"10.1007\/BF02399198","article-title":"Asymptotic properties of zeta-functions","volume":"84","author":"Tsfasman","year":"1997","journal-title":"J. Math. Sci."},{"key":"10.1016\/j.ffa.2026.102866_br0180","doi-asserted-by":"crossref","first-page":"247","DOI":"10.1016\/j.ffa.2015.04.005","article-title":"Asymptotic properties of zeta functions over finite fields","volume":"35","author":"Zykin","year":"2015","journal-title":"Finite Fields Appl."}],"container-title":["Finite Fields and Their Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1071579726000778?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S1071579726000778?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,7,4]],"date-time":"2026-07-04T05:00:44Z","timestamp":1783141244000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S1071579726000778"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,10]]},"references-count":18,"alternative-id":["S1071579726000778"],"URL":"https:\/\/doi.org\/10.1016\/j.ffa.2026.102866","relation":{},"ISSN":["1071-5797"],"issn-type":[{"value":"1071-5797","type":"print"}],"subject":[],"published":{"date-parts":[[2026,10]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"On an analogue of the Ihara constant for exponential sums","name":"articletitle","label":"Article Title"},{"value":"Finite Fields and Their Applications","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.ffa.2026.102866","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"102866"}}