Sections of Angles and n-th Roots of Numbers
It is known since Galois that an algebraic equation can be solved using suitable n-th roots whenever the corresponding Galois group is soluble. The object of this note is to construct real numbers with the use of the n-th parts of suitable angles and to state necessary and sufficient conditions for...
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| Date: | 2002 |
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| Main Author: | |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2002
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| Series: | Український математичний журнал |
| Subjects: | |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/164350 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Sections of Angles and n-th Roots of Numbers / H. Heineken // Український математичний журнал. — 2002. — Т. 54, № 7. — С. 1008–1012. — Бібліогр.: 3 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Summary: | It is known since Galois that an algebraic equation can be solved using suitable n-th roots whenever the corresponding Galois group is soluble. The object of this note is to construct real numbers with the use of the n-th parts of suitable angles and to state necessary and sufficient conditions for this to be possible. |
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