✦ LIBER ✦

The Truncated Second Main Theorem of Function Fields

✍ Scribed by Julie T.-Y. Wang

Publisher: Elsevier Science
Year: 1996
Tongue: English
Weight: 634 KB
Volume: 58
Category: Article
ISSN: 0022-314X
DOI: 10.1006/jnth.1996.0071

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✦ Synopsis

We formulate some results of function fields which are analogous to Cartan's Second Main Theorem with truncated counting functions, Cartan's conjecture, and the generalized Picard Theorem. We also give a generalization of function fields version of abc-conjecture due to Mason, Voloch, Brownawell, and Masser. A result of the finiteness of the S-integral points of function fields of characteristic 0 in the complement of 2n+1 hyperplanes with constant coefficients and in general position is obtained in this paper.

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