An $abcd$ theorem over function fields and applications
نویسندگان
چکیده
منابع مشابه
AN abcd THEOREM OVER FUNCTION FIELDS AND APPLICATIONS
— We provide a lower bound for the number of distinct zeros of a sum 1 + u + v for two rational functions u, v, in term of the degree of u, v, which is sharp whenever u, v have few distinct zeros and poles compared to their degree. This sharpens the “abcd-theorem” of Brownawell-Masser and Voloch in some cases which are sufficient to obtain new finiteness results on diophantine equations over fu...
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ژورنال
عنوان ژورنال: Bulletin de la Société mathématique de France
سال: 2011
ISSN: 0037-9484,2102-622X
DOI: 10.24033/bsmf.2613