{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T07:52:09Z","timestamp":1777449129695,"version":"3.51.4"},"reference-count":0,"publisher":"SAGE Publications","issue":"1-2","license":[{"start":{"date-parts":[[2014,7,1]],"date-time":"2014-07-01T00:00:00Z","timestamp":1404172800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Asymptotic Analysis"],"published-print":{"date-parts":[[2014,7]]},"abstract":"<jats:p>\n                    By using Riemann\u2013Hilbert problem based techniques, we obtain the asymptotic expansion of lacunary Toeplitz determinants det\u2009\n                    <jats:sub>N<\/jats:sub>\n                    [c\n                    <jats:sub>\n                      \u2113\n                      <jats:sub>a<\/jats:sub>\n                      \u2212m\n                      <jats:sub>b<\/jats:sub>\n                    <\/jats:sub>\n                    [f]] generated by holomorphic symbols, where \u2113\n                    <jats:sub>a<\/jats:sub>\n                    =a (resp. m\n                    <jats:sub>b<\/jats:sub>\n                    =b) except for a finite subset of indices a=h\n                    <jats:sub>1<\/jats:sub>\n                    ,\u2026,h\n                    <jats:sub>n<\/jats:sub>\n                    (resp. b=t\n                    <jats:sub>1<\/jats:sub>\n                    ,\u2026,t\n                    <jats:sub>r<\/jats:sub>\n                    ). In addition to the usual Szeg\u00f6 asymptotics, our answer involves a determinant of size n+r.\n                  <\/jats:p>","DOI":"10.3233\/asy-131210","type":"journal-article","created":{"date-parts":[[2019,11,29]],"date-time":"2019-11-29T19:32:54Z","timestamp":1575055974000},"page":"1-16","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["On lacunary Toeplitz determinants"],"prefix":"10.1177","volume":"88","author":[{"given":"K.K.","family":"Kozlowski","sequence":"first","affiliation":[{"name":"UMR 5584 du CNRS, Institut de Math\u00e9matiques de Bourgogne, Universit\u00e9 de Bourgogne, France. E-mail: karol.kozlowski@u-bourgogne.fr"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2014,7,1]]},"container-title":["Asymptotic Analysis"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-131210","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.3233\/ASY-131210","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,28]],"date-time":"2026-04-28T12:40:07Z","timestamp":1777380007000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.3233\/ASY-131210"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,7]]},"references-count":0,"journal-issue":{"issue":"1-2","published-print":{"date-parts":[[2014,7]]}},"alternative-id":["10.3233\/ASY-131210"],"URL":"https:\/\/doi.org\/10.3233\/asy-131210","relation":{},"ISSN":["0921-7134","1875-8576"],"issn-type":[{"value":"0921-7134","type":"print"},{"value":"1875-8576","type":"electronic"}],"subject":[],"published":{"date-parts":[[2014,7]]}}}