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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.