{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,11]],"date-time":"2026-03-11T16:14:25Z","timestamp":1773245665387,"version":"3.50.1"},"reference-count":26,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"6","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Math. Anal."],"published-print":{"date-parts":[[2006,1]]},"DOI":"10.1137\/040618916","type":"journal-article","created":{"date-parts":[[2006,3,28]],"date-time":"2006-03-28T02:00:21Z","timestamp":1143511221000},"page":"1903-1922","source":"Crossref","is-referenced-by-count":29,"title":["Lattice points on circles and discrete velocity models for the Boltzmann equation"],"prefix":"10.1137","volume":"37","author":[{"given":"Laura","family":"Fainsilber","sequence":"first","affiliation":[]},{"given":"P\u00e4r","family":"Kurlberg","sequence":"additional","affiliation":[]},{"given":"Bernt","family":"Wennberg","sequence":"additional","affiliation":[]}],"member":"351","reference":[{"key":"R2","first-page":"639","volume":"320","author":"Bobylev Alexandre","year":"1995","journal-title":"C. R. Acad. Sci. Paris S\u00e9r. I Math."},{"key":"R3","doi-asserted-by":"publisher","DOI":"10.1137\/S0036142995289007"},{"key":"R4","doi-asserted-by":"publisher","DOI":"10.1023\/A:1004615309058"},{"key":"R5","unstructured":"T.Carleman, Probl\u00e8mes math\u00e9matiques dans la th\u00e9orie cin\u00e9tique des gaz, Publ. Sci. Inst. Mittag\u2010Leffler. 2, Almqvist & Wiksells Boktryckeri Ab, Uppsala, 1957, 112\u2013020:4935"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1006\/jnth.1993.1017"},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4419-8524-8"},{"key":"R8","volume-title":"Multiplicative number theory","author":"Davenport Harold","year":"2000"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1142\/S0218202596000444"},{"key":"R10","doi-asserted-by":"publisher","DOI":"10.1081\/PDE-120028847"},{"key":"R11","doi-asserted-by":"publisher","DOI":"10.1007\/BF01393993"},{"key":"R12","doi-asserted-by":"publisher","DOI":"10.1016\/S0012-365X(98)00329-X"},{"key":"R14","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4613-8566-0"},{"key":"R15","first-page":"0","volume":"160","author":"Golubeva E.","year":"1987","journal-title":"Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI)"},{"key":"R16","doi-asserted-by":"publisher","DOI":"10.1016\/0022-314X(79)90021-0"},{"key":"R17","doi-asserted-by":"publisher","DOI":"10.1112\/S0025579300011426"},{"key":"R18","volume-title":"An introduction to the theory of numbers","author":"Hardy G.","year":"1954"},{"key":"R19","doi-asserted-by":"publisher","DOI":"10.1002\/mma.303"},{"key":"R20","doi-asserted-by":"publisher","DOI":"10.1007\/BF01389423"},{"key":"R21","first-page":"87","volume":"19","author":"K\u00e1tai I.","year":"1976","journal-title":"Ann. Univ. Sci. Budapest. E\u00f6tv\u00f6s Sect. Math."},{"issue":"19","key":"R22","first-page":"40","volume":"137","author":"Kubilyus I.","year":"1950","journal-title":"Leningrad. Gos. Univ. U\u010d. Zap. Ser. Mat. Nauk"},{"key":"R23","doi-asserted-by":"publisher","DOI":"10.1023\/A:1023000406921"},{"key":"R24","doi-asserted-by":"crossref","first-page":"227","DOI":"10.4064\/aa-5-2-227-257","volume":"5","author":"Pommerenke Ch.","year":"1959","journal-title":"Acta Arith."},{"key":"R25","doi-asserted-by":"publisher","DOI":"10.1080\/00411459408203868"},{"key":"R26","doi-asserted-by":"publisher","DOI":"10.1080\/00411459908214525"},{"key":"R27","doi-asserted-by":"publisher","DOI":"10.1070\/rm1999v054n05ABEH000223"},{"key":"R28","doi-asserted-by":"publisher","DOI":"10.1007\/BF01351892"}],"container-title":["SIAM Journal on Mathematical Analysis"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/040618916","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,4,17]],"date-time":"2019-04-17T16:58:12Z","timestamp":1555520292000},"score":1,"resource":{"primary":{"URL":"http:\/\/epubs.siam.org\/doi\/10.1137\/040618916"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006,1]]},"references-count":26,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2006,1]]}},"alternative-id":["10.1137\/040618916"],"URL":"https:\/\/doi.org\/10.1137\/040618916","relation":{},"ISSN":["0036-1410","1095-7154"],"issn-type":[{"value":"0036-1410","type":"print"},{"value":"1095-7154","type":"electronic"}],"subject":[],"published":{"date-parts":[[2006,1]]}}}