{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,28]],"date-time":"2025-03-28T02:42:12Z","timestamp":1743129732023,"version":"3.40.3"},"publisher-location":"New York, NY","reference-count":10,"publisher":"Springer New York","isbn-type":[{"type":"print","value":"9781461466413"},{"type":"electronic","value":"9781461466420"}],"license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-1-4614-6642-0_9","type":"book-chapter","created":{"date-parts":[[2013,5,15]],"date-time":"2013-05-15T18:58:09Z","timestamp":1368644289000},"page":"187-197","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Continued Fractions and Dedekind Sums for Function Fields"],"prefix":"10.1007","author":[{"given":"Yoshinori","family":"Hamahata","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2013,4,5]]},"reference":[{"key":"9_CR1","doi-asserted-by":"publisher","first-page":"71","DOI":"10.4064\/aa152-1-6","volume":"152","author":"A. Bayad","year":"2012","unstructured":"A. Bayad, Y. Hamahata, Higher dimensional Dedekind sums in function fields. Acta Arith. 152, 71\u201380 (2012)","journal-title":"Acta Arith."},{"key":"9_CR2","volume-title":"Basic Structures of Function Fields","author":"D. Goss","year":"1998","unstructured":"D. Goss, Basic Structures of Function Fields (Springer, New York, 1998)"},{"key":"9_CR3","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780199219858.001.0001","volume-title":"An Introduction to the Theory of Numbers","author":"G.H. Hardy","year":"2008","unstructured":"G.H. Hardy, E. Wright, An Introduction to the Theory of Numbers, 6th edn (Oxford Univ. Press, Oxford, 2008)","edition":"6"},{"key":"9_CR4","first-page":"113","volume":"290","author":"D. Hickerson","year":"1977","unstructured":"D. Hickerson, Continued fractions and density results for Dedekind sums. J. Reine Angew. Math. 290, 113\u2013116 (1977)","journal-title":"J. Reine Angew. Math."},{"key":"9_CR5","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1017\/CBO9780511721304.007","volume-title":"Diophantine Analysis","author":"A.J. van der Poorten","year":"1986","unstructured":"A.J. van der Poorten, An introduction to continued fractions, in Diophantine Analysis, ed. by J.H. Loxton, A.J. van der Poorten (Cambridge Univ. Press, Cambridge, 1986), pp.\u00a099\u2013138"},{"key":"9_CR6","first-page":"453","volume-title":"Advances in Number Theory (Proceedings of the 3rd Conference of the CNTA, Kingston, 1991)","author":"A.J. van der Poorten","year":"1993","unstructured":"A.J. van der Poorten, Continued fractions of formal power series, in Advances in Number Theory (Proceedings of the 3rd Conference of the CNTA, Kingston, 1991), ed. by F.Q. Gouv\u00eaa, N. Yui (The Clarendon Press, Oxford, 1993), pp.\u00a0453\u2013466"},{"key":"9_CR7","doi-asserted-by":"crossref","unstructured":"A.J. van der Poorten, Formal power series and their continued fraction expansion, in Algorithmic Number Theory (Proceedings of the 3rd International Symposium, ANTS-III, Portland, Oregon, USA, 1998), ed. by J. Buhler (Lecture Notes in Computer Science, Springer), 1423, 358\u2013371 (1998)","DOI":"10.1007\/BFb0054875"},{"key":"9_CR8","doi-asserted-by":"crossref","DOI":"10.5948\/UPO9781614440161","volume-title":"Dedekind Sums","author":"H. Rademacher","year":"1972","unstructured":"H. Rademacher, E. Grosswald, Dedekind Sums (Math. Assoc. Amer., Washington, DC, 1972)"},{"key":"9_CR9","doi-asserted-by":"publisher","first-page":"248","DOI":"10.1006\/jnth.1996.0097","volume":"59","author":"D. Thakur","year":"1996","unstructured":"D. Thakur, Exponential and continued fractions. J. Number Theory 59, 248\u2013261 (1996)","journal-title":"J. Number Theory"},{"key":"9_CR10","doi-asserted-by":"publisher","first-page":"149","DOI":"10.1007\/BF01351173","volume":"202","author":"D. Zagier","year":"1973","unstructured":"D. Zagier, Higher dimensional Dedekind sums. Math. Ann. 202, 149\u2013172 (1973)","journal-title":"Math. Ann."}],"container-title":["Springer Proceedings in Mathematics & Statistics","Number Theory and Related Fields"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-1-4614-6642-0_9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,19]],"date-time":"2024-03-19T08:46:06Z","timestamp":1710837966000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-1-4614-6642-0_9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9781461466413","9781461466420"],"references-count":10,"URL":"https:\/\/doi.org\/10.1007\/978-1-4614-6642-0_9","relation":{},"ISSN":["2194-1009","2194-1017"],"issn-type":[{"type":"print","value":"2194-1009"},{"type":"electronic","value":"2194-1017"}],"subject":[],"published":{"date-parts":[[2013]]},"assertion":[{"value":"5 April 2013","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}