The infinitesimal 16th Hilbert problem in dimension zero
نویسندگان
چکیده
منابع مشابه
The infinitesimal 16th Hilbert problem in dimension zero
We study the analogue of the infinitesimal 16th Hilbert problem in dimension zero. Lower and upper bounds for the number of the zeros of the corresponding Abelian integrals (which are algebraic functions) are found. We study the relation between the vanishing of an Abelian integral I(t) defined over Q and its arithmetic properties. Finally, we give necessary and sufficient conditions for an Abe...
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ژورنال
عنوان ژورنال: Bulletin des Sciences Mathématiques
سال: 2007
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2006.04.003