ALGEBRAIC INDEPENENCE OF CERTAIN FORMAL POWER SERIES (II)
We shall extend the results of [5] and prove that if f = Z o a x ? Z [[X]] is algebraic over Q (x), where a = 1, ƒ 1 and if ? , ? ,..., ? are p-adic integers, then 1 ? , ? ,..., ? are linkarly independent over Q if and only if (1+x) ,(1+x) ,…,(1+x) are algebraically independent over Q (x...
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| Format: | Article |
|---|---|
| Language: | English |
| Published: |
University of Tehran
1992-12-01
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| Series: | Journal of Sciences, Islamic Republic of Iran |
| Online Access: | https://jsciences.ut.ac.ir/article_31521_938ea3faeb9c21259ba15d7983c22970.pdf |
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| _version_ | 1849730792838660096 |
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| collection | DOAJ |
| description | We shall extend the results of [5] and prove that if f = Z o a x ? Z [[X]] is
algebraic over Q (x), where a = 1, ƒ 1 and if ? , ? ,..., ? are p-adic integers, then 1 ? , ? ,..., ? are linkarly independent over Q if and only if (1+x) ,(1+x) ,…,(1+x) are algebraically independent over Q (x) if and only if f , f ,.., f are algebraically independent over Q (x) |
| format | Article |
| id | doaj-art-868a1b3c9a6043e28b0592e23cbcdf80 |
| institution | DOAJ |
| issn | 1016-1104 2345-6914 |
| language | English |
| publishDate | 1992-12-01 |
| publisher | University of Tehran |
| record_format | Article |
| series | Journal of Sciences, Islamic Republic of Iran |
| spelling | doaj-art-868a1b3c9a6043e28b0592e23cbcdf802025-08-20T03:08:46ZengUniversity of TehranJournal of Sciences, Islamic Republic of Iran1016-11042345-69141992-12-013231521ALGEBRAIC INDEPENENCE OF CERTAIN FORMAL POWER SERIES (II)We shall extend the results of [5] and prove that if f = Z o a x ? Z [[X]] is algebraic over Q (x), where a = 1, ƒ 1 and if ? , ? ,..., ? are p-adic integers, then 1 ? , ? ,..., ? are linkarly independent over Q if and only if (1+x) ,(1+x) ,…,(1+x) are algebraically independent over Q (x) if and only if f , f ,.., f are algebraically independent over Q (x)https://jsciences.ut.ac.ir/article_31521_938ea3faeb9c21259ba15d7983c22970.pdf |
| spellingShingle | ALGEBRAIC INDEPENENCE OF CERTAIN
FORMAL POWER SERIES (II) Journal of Sciences, Islamic Republic of Iran |
| title | ALGEBRAIC INDEPENENCE OF CERTAIN
FORMAL POWER SERIES (II) |
| title_full | ALGEBRAIC INDEPENENCE OF CERTAIN
FORMAL POWER SERIES (II) |
| title_fullStr | ALGEBRAIC INDEPENENCE OF CERTAIN
FORMAL POWER SERIES (II) |
| title_full_unstemmed | ALGEBRAIC INDEPENENCE OF CERTAIN
FORMAL POWER SERIES (II) |
| title_short | ALGEBRAIC INDEPENENCE OF CERTAIN
FORMAL POWER SERIES (II) |
| title_sort | algebraic indepenence of certain formal power series ii |
| url | https://jsciences.ut.ac.ir/article_31521_938ea3faeb9c21259ba15d7983c22970.pdf |