On dense sequences of polynomials in several variables |
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Authors: | Zhu Yaochen |
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Institution: | (1) Institute of Applied Mathematics, Academia Sinica, China |
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Abstract: | In the present paper a form of generalization of Gelfond's lemma on dense sequences of polynomials is proposed. For a set of complex numbers
1, ...,
s
we define the coefficientsgk(
1, ...,
s
) (0ks) and give the relations between them and the transcendental degrees or the transcendence types of the field © (
1, ...,
s
) or its subfields.This work was completed at the Dept. of Math., Univ. of Southern Mississippi, USA in 1987. |
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Keywords: | |
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