{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,21]],"date-time":"2025-09-21T17:13:21Z","timestamp":1758474801684},"reference-count":8,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2015,10,23]],"date-time":"2015-10-23T00:00:00Z","timestamp":1445558400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["AAECC"],"published-print":{"date-parts":[[2016,3]]},"DOI":"10.1007\/s00200-015-0275-2","type":"journal-article","created":{"date-parts":[[2015,10,23]],"date-time":"2015-10-23T01:21:04Z","timestamp":1445563264000},"page":"159-168","update-policy":"http:\/\/dx.doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Eisenstein polynomials over function fields"],"prefix":"10.1007","volume":"27","author":[{"given":"Edoardo","family":"Dotti","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Giacomo","family":"Micheli","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2015,10,23]]},"reference":[{"issue":"2","key":"275_CR1","doi-asserted-by":"crossref","first-page":"127","DOI":"10.1007\/s00200-003-0131-7","volume":"14","author":"A Dubickas","year":"2003","unstructured":"Dubickas, A.: Polynomials irreducible by Eisenstein\u2019s criterion. Appl. Algebra Eng. Commun. Comput. 14(2), 127\u2013132 (2003)","journal-title":"Appl. Algebra Eng. Commun. Comput."},{"issue":"6","key":"275_CR2","doi-asserted-by":"crossref","first-page":"2675","DOI":"10.1016\/j.laa.2012.11.011","volume":"438","author":"X Guo","year":"2013","unstructured":"Guo, X., Yang, G.: The probability of rectangular unimodular matrices over $$\\mathbb{F}_q[x]$$ F q [ x ] . Linear Algebra Its Appl. 438(6), 2675\u20132682 (2013)","journal-title":"Linear Algebra Its Appl."},{"issue":"2","key":"275_CR3","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1007\/s00200-013-0187-y","volume":"24","author":"R Heyman","year":"2013","unstructured":"Heyman, R., Shparlinski, I.E.: On the number of Eisenstein polynomials of bounded height. Appl. Algebra Eng. Commun. Comput. 24(2), 149\u2013156 (2013)","journal-title":"Appl. Algebra Eng. Commun. Comput."},{"key":"275_CR4","volume-title":"General Topology","author":"JL Kelley","year":"1955","unstructured":"Kelley, J.L.: General Topology. Van Nostrand, New York (1955)"},{"key":"275_CR5","unstructured":"Micheli, G., Schnyder, R.: On the density of coprime m-tuples over holomorphy rings. Int. J. Number Theory (2014). arXiv:1411.6876"},{"key":"275_CR6","first-page":"15","volume":"2","author":"B Poonen","year":"1998","unstructured":"Poonen, B., Stoll, M.: The Cassels\u2013Tate pairing on polarized abelian varieties. Ann. Math. 2, 15 (1998)","journal-title":"Ann. Math."},{"key":"275_CR7","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-540-76878-4","volume-title":"Algebraic Function Fields and Codes","author":"H Stichtenoth","year":"2009","unstructured":"Stichtenoth, H.: Algebraic Function Fields and Codes, vol. 254. Springer, Berlin (2009)"},{"key":"275_CR8","doi-asserted-by":"crossref","first-page":"455","DOI":"10.2969\/aspm\/04910455","volume":"49","author":"H Sugita","year":"2007","unstructured":"Sugita, H., Takanobu, S.: The probability of two $$\\mathbb{F}_q[x]$$ F q [ x ] -polynomials to be coprime. Probab. Number Theory Adv. Stud. Pure Math. 49, 455\u2013478 (2007)","journal-title":"Probab. Number Theory Adv. Stud. Pure Math."}],"container-title":["Applicable Algebra in Engineering, Communication and Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00200-015-0275-2.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00200-015-0275-2\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00200-015-0275-2","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,11]],"date-time":"2024-06-11T23:05:01Z","timestamp":1718147101000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00200-015-0275-2"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,10,23]]},"references-count":8,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2016,3]]}},"alternative-id":["275"],"URL":"https:\/\/doi.org\/10.1007\/s00200-015-0275-2","relation":{},"ISSN":["0938-1279","1432-0622"],"issn-type":[{"value":"0938-1279","type":"print"},{"value":"1432-0622","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,10,23]]}}}