{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,21]],"date-time":"2026-04-21T13:27:11Z","timestamp":1776778031819,"version":"3.51.2"},"publisher-location":"Berlin, Heidelberg","reference-count":10,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"value":"9783540774037","type":"print"},{"value":"9783540774044","type":"electronic"}],"license":[{"start":{"date-parts":[[2007,1,1]],"date-time":"2007-01-01T00:00:00Z","timestamp":1167609600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2007]]},"DOI":"10.1007\/978-3-540-77404-4_16","type":"book-chapter","created":{"date-parts":[[2007,12,6]],"date-time":"2007-12-06T11:20:12Z","timestamp":1196940012000},"page":"162-168","source":"Crossref","is-referenced-by-count":1,"title":["Remarks on a Sequence of Minimal Niven Numbers"],"prefix":"10.1007","author":[{"given":"H.","family":"Fredricksen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"E. J.","family":"Ionascu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"F.","family":"Luca","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"P.","family":"St\u0103nic\u0103","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"16_CR1","doi-asserted-by":"crossref","first-page":"118","DOI":"10.1080\/00150517.1996.12429078","volume":"34","author":"T. Cai","year":"1996","unstructured":"Cai, T.: On 2-Niven numbers and 3-Niven numbers. Fibonacci Quart.\u00a034, 118\u2013120 (1996)","journal-title":"Fibonacci Quart."},{"key":"16_CR2","first-page":"146","volume":"21","author":"C.N. Cooper","year":"1993","unstructured":"Cooper, C.N., Kennedy, R.E.: On consecutive Niven numbers. Fibonacci Quart.\u00a021, 146\u2013151 (1993)","journal-title":"Fibonacci Quart."},{"issue":"5","key":"16_CR3","doi-asserted-by":"crossref","first-page":"431","DOI":"10.1080\/00150517.2003.12428555","volume":"41","author":"J.M. Koninck De","year":"2003","unstructured":"De Koninck, J.M., Doyon, N.: On the number of Niven numbers up to x. Fibonacci Quart.\u00a041(5), 431\u2013440 (2003)","journal-title":"Fibonacci Quart."},{"key":"16_CR4","doi-asserted-by":"publisher","first-page":"265","DOI":"10.4064\/aa106-3-5","volume":"106","author":"J.M. Koninck De","year":"2003","unstructured":"De Koninck, J.M., Doyon, N., Katai, I.: On the counting function for the Niven numbers. Acta Arith.\u00a0106, 265\u2013275 (2003)","journal-title":"Acta Arith."},{"key":"16_CR5","doi-asserted-by":"crossref","first-page":"174","DOI":"10.1080\/00150517.1994.12429245","volume":"32","author":"H.G. Grundman","year":"1994","unstructured":"Grundman, H.G.: Sequences of consecutive Niven numbers. Fibonacci Quart.\u00a032, 174\u2013175 (1994)","journal-title":"Fibonacci Quart."},{"key":"16_CR6","doi-asserted-by":"crossref","unstructured":"Fredricksen, H., Ionascu, E.J., Luca, F., Stanica, P.: Minimal Niven numbers (I), submitted (2007)","DOI":"10.4064\/aa132-2-3"},{"key":"16_CR7","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1007\/s11139-005-0824-6","volume":"9","author":"C. Mauduit","year":"2005","unstructured":"Mauduit, C., Pomerance, C., S\u00e1rk\u00f6zy, A.: On the distribution in residue classes of integers with a fixed digit sum. The Ramanujan J.\u00a09, 45\u201362 (2005)","journal-title":"The Ramanujan J."},{"key":"16_CR8","doi-asserted-by":"crossref","first-page":"145","DOI":"10.4064\/aa-81-2-145-173","volume":"81","author":"C. Mauduit","year":"1997","unstructured":"Mauduit, C., S\u00e1rk\u00f6zy, A.: On the arithmetic structure of integers whose sum of digits is fixed. Acta Arith.\u00a081, 145\u2013173 (1997)","journal-title":"Acta Arith."},{"key":"16_CR9","unstructured":"Rosen, K.H.: Elementary Number Theory, 5th edn. (2005)"},{"key":"16_CR10","unstructured":"Vardi, I.: Niven numbers. Computational Recreations in Mathematics, 19, 28\u201331 (1991)"}],"container-title":["Lecture Notes in Computer Science","Sequences, Subsequences, and Consequences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-540-77404-4_16","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,1,23]],"date-time":"2025-01-23T08:07:27Z","timestamp":1737619647000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-540-77404-4_16"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007]]},"ISBN":["9783540774037","9783540774044"],"references-count":10,"URL":"https:\/\/doi.org\/10.1007\/978-3-540-77404-4_16","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007]]}}}