On the space of entire functions over certain non-archimedean fields and its dual
نویسندگان
چکیده
منابع مشابه
Global Newton Iteration over Archimedean and non-Archimedean Fields
In this paper, we study iterative methods on the coefficients of the rational univariate representation (RUR) of a given algebraic set, called global Newton iteration. We compare two natural approaches to define locally quadratically convergent iterations: the first one involves Newton iteration applied to the approximate roots individually and then interpolation to find the RUR of these approx...
متن کاملIntermediate Values and Inverse Functions on Non-archimedean Fields
Continuity or even differentiability of a function on a closed interval of a non-Archimedean field are not sufficient for the function to assume all the intermediate values, a maximum, a minimum, or a unique primitive function on the interval. These problems are due to the total disconnectedness of the field in the order topology. In this paper, we show that differentiability (in the topologica...
متن کاملon the effect of linear & non-linear texts on students comprehension and recalling
چکیده ندارد.
15 صفحه اولAn analogue of Hilbert’s tenth problem for fields of meromorphic functions over non-Archimedean valued fields
Let K be a complete and algebraically closed valued field of characteristic 0. We prove that the set of rational integers is positive existentially definable in the field M of meromorphic functions on K in the language Lz of rings augmented by a constant symbol for the independent variable z and by a symbol for the unary relation “the function x takes the value 0 at 0”. Consequently, we prove t...
متن کاملAn analogue of Hilbert’s 10th problem for fields of meromorphic functions over non-Archimedean valued fields
Let K be a complete and algebraically closed valued field of characteristic 0. We prove that the set of rational integers is positive existentially definable in the field M of meromorphic functions on K in the language L z of rings augmented by a constant symbol for the independent variable z and by a symbol for the unary relation ‘‘the function x takes the value 0 at 0’’. Consequently, we prov...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Studia Mathematica
سال: 1969
ISSN: 0039-3223,1730-6337
DOI: 10.4064/sm-33-3-251-256