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- W2950762102 abstract "This paper is concerned with the extent to which the Skolem-Bang theorems in Diophantine approximations generalise from the standard setting of $ $ to structures of the form $ $, where $F$ is an ordered field and $I$ is an integer part of $F$. We show that some of these theorems are hold unconditionally in general case (ordered fields with an integer part). The remainder results are based on Dirichlet's and Kronecker's theorems. Finally we extend Dirichlet's theorem to ordered fields with $IE_1$ integer part." @default.
- W2950762102 created "2019-06-27" @default.
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- W2950762102 date "2007-05-23" @default.
- W2950762102 modified "2023-09-27" @default.
- W2950762102 title "The Skolem-Bang Theorems in Ordered Fields with an $IP$" @default.
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