{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,1]],"date-time":"2026-03-01T12:27:33Z","timestamp":1772368053412,"version":"3.50.1"},"reference-count":20,"publisher":"Elsevier BV","issue":"1","license":[{"start":{"date-parts":[[1990,9,1]],"date-time":"1990-09-01T00:00:00Z","timestamp":652147200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":8355,"URL":"https:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Annals of Pure and Applied Logic"],"published-print":{"date-parts":[[1990,9]]},"DOI":"10.1016\/0168-0072(90)90050-c","type":"journal-article","created":{"date-parts":[[2002,7,26]],"date-time":"2002-07-26T03:38:59Z","timestamp":1027654739000},"page":"31-74","source":"Crossref","is-referenced-by-count":18,"title":["Rationality of p-adic poincar\u00e9 series: uniformity in p"],"prefix":"10.1016","volume":"49","author":[{"given":"Angus","family":"Macintyre","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/0168-0072(90)90050-C_BIB1","doi-asserted-by":"crossref","first-page":"239","DOI":"10.2307\/1970573","article-title":"The elementary theory of finite fields","volume":"88","author":"Ax","year":"1968","journal-title":"Ann. of Math."},{"key":"10.1016\/0168-0072(90)90050-C_BIB2","article-title":"Topics in the model-theory of p-adic fields","author":"B\u00e9lair","year":"1985","journal-title":"Ph.D. thesis"},{"key":"10.1016\/0168-0072(90)90050-C_BIB3","author":"B\u00e9lair","year":"1988","journal-title":"Mod\u00e9les premiers et corps r\u00e9guli\u00e8rement clos"},{"key":"10.1016\/0168-0072(90)90050-C_BIB4","article-title":"Bounds on transfer principles","volume":"204","author":"Brown","year":"1978","journal-title":"Mem. Amer. Math. Soc."},{"key":"10.1016\/0168-0072(90)90050-C_BIB5","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1002\/cpa.3160220202","article-title":"Decision procedures for real and p-adic field","volume":"22","author":"Cohen","year":"1969","journal-title":"Comm. Pure Appl. Math."},{"key":"10.1016\/0168-0072(90)90050-C_BIB6","article-title":"Model-Theoretic Algebra: Selected Topics","volume":"521","author":"Cherlin","year":"1976"},{"key":"10.1016\/0168-0072(90)90050-C_BIB7","article-title":"Quelques propri\u00e9t\u00e9s des corps values en th\u00e9orie des mod\u00e9les","author":"Delon","year":"1981"},{"key":"10.1016\/0168-0072(90)90050-C_BIB8","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1007\/BF01389133","article-title":"The rationality of the Poincar\u00e9 series associated to the p-adic points on a variety","volume":"77","author":"Denef","year":"1984","journal-title":"Invent. Math."},{"key":"10.1016\/0168-0072(90)90050-C_BIB9","first-page":"25","article-title":"On the evaluation of certain p-adic integrals","volume":"59","author":"Denef","year":"1985","journal-title":"Progress in Math."},{"key":"10.1016\/0168-0072(90)90050-C_BIB10","first-page":"154","article-title":"p-adic semi-algebraic sets and cell decomposition","volume":"369","author":"Denef","year":"1986","journal-title":"J. Reine Angewandte Math."},{"key":"10.1016\/0168-0072(90)90050-C_BIB11","unstructured":"[11]J. Denef, Preprint, Leuven, 1986."},{"key":"10.1016\/0168-0072(90)90050-C_BIB12","doi-asserted-by":"crossref","first-page":"625","DOI":"10.2307\/2274194","article-title":"Algebraic theories with definable Skolen functions","volume":"49","author":"van den Dries","year":"1984","journal-title":"J. Symbolic Logic"},{"key":"10.1016\/0168-0072(90)90050-C_BIB13","doi-asserted-by":"crossref","first-page":"1138","DOI":"10.2307\/2274609","article-title":"On the structure of semi-algebraic sets over p-adic fields","volume":"53","author":"van den Dries","year":"1988","journal-title":"J. Symbolic Logic"},{"key":"10.1016\/0168-0072(90)90050-C_BIB14","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1007\/BF01393692","article-title":"On counting subgroups of finite index in nilpotent groups","volume":"93","author":"Grunewald","year":"1988","journal-title":"Invent. Math."},{"issue":"3","key":"10.1016\/0168-0072(90)90050-C_BIB15","doi-asserted-by":"crossref","first-page":"605","DOI":"10.2307\/2272038","article-title":"On definable subsets of p-adic fields","volume":"41","author":"Macintyre","year":"1976","journal-title":"J. Symbolic Logic"},{"key":"10.1016\/0168-0072(90)90050-C_BIB16","first-page":"137","article-title":"Uniform p-adic cell decomposition and local zeta functions","volume":"399","author":"Pas","year":"1989","journal-title":"J. Reine Angew. Math."},{"key":"10.1016\/0168-0072(90)90050-C_BIB17","author":"Pas","year":"1988","journal-title":"Cell decomposition and local zeta functions in a tower of unramified extensions of a p-adic field"},{"key":"10.1016\/0168-0072(90)90050-C_BIB18","author":"Ribenboim","year":"1968"},{"key":"10.1016\/0168-0072(90)90050-C_BIB19","author":"Royden","year":"1963","journal-title":"Real Analysis"},{"key":"10.1016\/0168-0072(90)90050-C_BIB20","first-page":"419","article-title":"Quantifier elimination and decision procedures for valued fields","volume":"1103","author":"Weispfenning","year":"1984"}],"container-title":["Annals of Pure and Applied Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:016800729090050C?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:016800729090050C?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2019,4,13]],"date-time":"2019-04-13T07:52:05Z","timestamp":1555141925000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/016800729090050C"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,9]]},"references-count":20,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1990,9]]}},"alternative-id":["016800729090050C"],"URL":"https:\/\/doi.org\/10.1016\/0168-0072(90)90050-c","relation":{},"ISSN":["0168-0072"],"issn-type":[{"value":"0168-0072","type":"print"}],"subject":[],"published":{"date-parts":[[1990,9]]}}}