ALGEBRAIC INDEPENDENCE OF CERTAIN FORMAL POWER SERIES (I)
نویسندگان: ثبت نشده
چکیده مقاله:
We give a proof of the generalisation of Mendes-France and Van der Poorten's recent result over an arbitrary field of positive characteristic and then by extending a result of Carlitz, we shall introduce a class of algebraically independent series.
منابع مشابه
algebraic independence of certain formal power series (i)
we give a proof of the generalisation of mendes-france and van der poorten's recent result over an arbitrary field of positive characteristic and then by extending a result of carlitz, we shall introduce a class of algebraically independent series.
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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)
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عنوان ژورنال
دوره 2 شماره 1
صفحات -
تاریخ انتشار 1991-06-01
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