Weak approximation over function fields
โ Scribed by Brendan Hassett; Yuri Tschinkel
- Publisher
- Springer-Verlag
- Year
- 2005
- Tongue
- English
- Weight
- 362 KB
- Volume
- 163
- Category
- Article
- ISSN
- 0020-9910
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๐ SIMILAR VOLUMES
If P is an irreducible element of a polynomial ring over a finite field, then one can define a Fermat quotient function associated to P. This is the direct analog of the traditional Fermat quotient function defined over the rational numbers using Fermat's ''little'' theorem. This paper provides answ
We show that Diophantine problem (otherwise known as Hilbert's Tenth Problem) is undecidable over the fields of algebraic functions over the finite fields of constants of characteristic greater than two. This is the first example of Diophantine undecidability over any algebraic field. We also show t