To establish a link between Nevanlinna theory and the theory of this kind of approximation, Kobayashi proposed a modified form of the truncated counting function.
To establish a link between Nevanlinna theory and the theory of this kind of approximation, Kobayashi proposed a modified form of the truncated counting function. The subspace theorem concerns curves defined by this kind of function, such as the S-unit function. In general, this kind of approximation is concerned with using rational numbers to approximate the reals. By resolving Hilbert's tenth problem, Yuri Matiyasevich showed that there cannot be a universal algorithm for solving these problems. Catalan's Conjecture concerned one of these equations, another example of which is Pell's equation. The ancient Greek author of the Arithmetica gave his name to, for 10 points, what equations in which only integer solutions are sought?
To establish a link between Nevanlinna theory and the theory of this kind of approximation, Kobayashi proposed a modified form of the truncated counting function.
Diophantine equations