0 the study of the qualities and characteristics of numbers --
1 the study of the qualities and characteristics of numbers --
Our approach, originating in probabilistic number theory, requires information on the generating functions only in the convergence disc and rather weak smoothness on the circumference.
And, like number theory, knot theory was totally, totally useless.
We then give applications to number theory and to the statistics of cuspidal windings.
Let us recall some facts from algebraic number theory.
These applications include results in additive number theory and in the study of graph colouring problems.
The distribution of quadratic residues and non-residues is an old problem in number theory.
We made the choice of set theory terminology since some parts of this paper could have some interest in group theory and number theory.
Typical examples of such systems come from number theory and admit non-hyperbolic periodic orbits.