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Rationalizing Focal Points

Theory and Decision, 2001
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Rational Points on the Sphere

The Ramanujan Journal, 2003
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On fixed points of rational transductions

Theoretical Computer Science, 2018
In this short paper, the authors prove that the fixed point problem for injective rational functions is undecidable. A function is called rational, if it can be computed by a transducer (an automaton with outputs). For this, the authors use the undecidability of the Post corresponding problem for injective morphisms and some characterizations of ...
Vesa Halava, Tero Harju, Esa Sahla
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Saddle points of rational functions

Computational Optimization and Applications, 2019
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Guangming Zhou, Qin Wang, Wenjie Zhao
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Rational points of the curve over

2014
Let q be a power of an odd prime. For arbitrary positive integers h, n, m with n dividing m and arbitrary with ? ? 0 we determine the number of -rational points of the curve in many cases.
Özbudak, Ferruh, Saygı, Zülfükar
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Irreducible Subvarieties and Rational Points

American Journal of Mathematics, 1965
fields." In this paper we prove this conjecture by elementary considerations of algebraic geometry. Given an algebraic set V defined over a field k (always assumed to be perfect), we consider the set of all subvarieties (absolutely irreducible) of V which are defined over k.
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