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math.GT2021
Numerical semigroups, Dedekind sums and Alexander polynomials of torus knots
Gennadiy Ilyuta
We connect Dedekind sums and Alexander polynomials of torus knots.
math.GT2014
Growth functions of Coxeter groups, Poincare series of singularities and -tangle -fractions
Gennadiy Ilyuta
Growth functions of Coxeter groups and the Poincare series of Kleinian and Fuchsian singularities are -tangle -fractions.
math.GT2009
Poincare series of Klein groups, Coxeter polynomials, the Burau representation and Milnor invariants
Gennadiy Ilyuta
For Poincare series of binary polyhedral groups and Coxeter polynomials there are obtained statements close to the Euclid algorithm and orthogonal polynomials theory: generalized E…