Binomial expansions modulo prime powers
In this note a result is given and proved concerning binomial expansions modulo prime powers. In the proof congruence modulo prime powers is generalized to the rational numbers via valuations.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1980-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171280000270 |
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| _version_ | 1832549220024844288 |
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| author | Paul W. Haggard John O. Kiltinen |
| author_facet | Paul W. Haggard John O. Kiltinen |
| author_sort | Paul W. Haggard |
| collection | DOAJ |
| description | In this note a result is given and proved concerning binomial expansions modulo prime powers. In the proof congruence modulo prime powers is generalized to the rational numbers via valuations. |
| format | Article |
| id | doaj-art-221d0407d05b4e2294aaf8a558c19c2b |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1980-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-221d0407d05b4e2294aaf8a558c19c2b2025-02-03T06:11:43ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251980-01-013239740010.1155/S0161171280000270Binomial expansions modulo prime powersPaul W. Haggard0John O. Kiltinen1Department of Mathematics, East Carolina University, Greenville 27834, North Carolina, USADepartment of Mathematics, Northern Michigan University, Marquette 49855, Michigan, USAIn this note a result is given and proved concerning binomial expansions modulo prime powers. In the proof congruence modulo prime powers is generalized to the rational numbers via valuations.http://dx.doi.org/10.1155/S0161171280000270modulo prime powersp-adic valuationand rings of characteristics pm. |
| spellingShingle | Paul W. Haggard John O. Kiltinen Binomial expansions modulo prime powers International Journal of Mathematics and Mathematical Sciences modulo prime powers p-adic valuation and rings of characteristics pm. |
| title | Binomial expansions modulo prime powers |
| title_full | Binomial expansions modulo prime powers |
| title_fullStr | Binomial expansions modulo prime powers |
| title_full_unstemmed | Binomial expansions modulo prime powers |
| title_short | Binomial expansions modulo prime powers |
| title_sort | binomial expansions modulo prime powers |
| topic | modulo prime powers p-adic valuation and rings of characteristics pm. |
| url | http://dx.doi.org/10.1155/S0161171280000270 |
| work_keys_str_mv | AT paulwhaggard binomialexpansionsmoduloprimepowers AT johnokiltinen binomialexpansionsmoduloprimepowers |