On an asymptotic formula for the niven numbers
A Niven number is a positive integer which is divisible by its digital sum. A discussion of the possibility of an asymptotic formula for N(x) is given. Here, N(x) denotes the nmber of Niven numbers less than x. A partial result will be presented. This result will be an asymptotic formula for Nk(x) w...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1985-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171285000576 |
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| _version_ | 1850227752185102336 |
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| author | Curtis N. Cooper Robert E. Kennedy |
| author_facet | Curtis N. Cooper Robert E. Kennedy |
| author_sort | Curtis N. Cooper |
| collection | DOAJ |
| description | A Niven number is a positive integer which is divisible by its digital sum. A discussion of the possibility of an asymptotic formula for N(x) is given. Here, N(x) denotes the nmber of Niven numbers less than x. A partial result will be presented. This result will be an asymptotic formula for Nk(x) which denotes the number of Niven numbers less than x with digital sum k. |
| format | Article |
| id | doaj-art-1f28894892f449c7ba82987d9d1569c8 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1985-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-1f28894892f449c7ba82987d9d1569c82025-08-20T02:04:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251985-01-018353754310.1155/S0161171285000576On an asymptotic formula for the niven numbersCurtis N. Cooper0Robert E. Kennedy1Department of Mathematics and Computer Science, Central Missouri State University, Warrensburg 64093, Missouri, USADepartment of Mathematics and Computer Science, Central Missouri State University, Warrensburg 64093, Missouri, USAA Niven number is a positive integer which is divisible by its digital sum. A discussion of the possibility of an asymptotic formula for N(x) is given. Here, N(x) denotes the nmber of Niven numbers less than x. A partial result will be presented. This result will be an asymptotic formula for Nk(x) which denotes the number of Niven numbers less than x with digital sum k.http://dx.doi.org/10.1155/S0161171285000576digital sumsasymptotic formulaNiven number. |
| spellingShingle | Curtis N. Cooper Robert E. Kennedy On an asymptotic formula for the niven numbers International Journal of Mathematics and Mathematical Sciences digital sums asymptotic formula Niven number. |
| title | On an asymptotic formula for the niven numbers |
| title_full | On an asymptotic formula for the niven numbers |
| title_fullStr | On an asymptotic formula for the niven numbers |
| title_full_unstemmed | On an asymptotic formula for the niven numbers |
| title_short | On an asymptotic formula for the niven numbers |
| title_sort | on an asymptotic formula for the niven numbers |
| topic | digital sums asymptotic formula Niven number. |
| url | http://dx.doi.org/10.1155/S0161171285000576 |
| work_keys_str_mv | AT curtisncooper onanasymptoticformulaforthenivennumbers AT robertekennedy onanasymptoticformulaforthenivennumbers |