4 papers
math.CO2020
The generalized Gassert-Shor formula as combinatorial Stokes theorem
Gennadiy Ilyuta
We generalize Gassert-Shor formula for numerical semigroups.
math.CO2018
Harer-Zagier generating functions, the Redfield-Polya cycle index and Cohen semilinear congruences
Gennadiy Ilyuta
Harer-Zagier generating functions for Euler characteristics of moduli spaces of curves contain -necklace polynomials. Taylor expansions for these polynomials depend on numbers o…
math.CO2017
The height distribution in root systems
Gennadiy Ilyuta
We prove several formulas for the distribution of positive roots.
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…