Continuum cardinality of the set of solutions of one class of equations that contain the function of frequency of ternary digits of a number
We study the equation v1 (x) = x, where v1 (x) is the function of frequency of the digit 1 in ternary expansion of x. We prove that this equation has a unique rational solution and a continuum set of irrational solutions. An algorithm for the construction of solutions is proposed. We also describ...
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| Date: | 2008 |
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| Main Authors: | , |
| Format: | Article |
| Language: | Ukrainian English |
| Published: |
Institute of Mathematics, NAS of Ukraine
2008
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/3255 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
| Download file: |  |