3 citations · 3 across the 12 of their papers we have counts for
12 papers
The simultaneous multiplication formulas for Apostol-Bernoulli polynomials and generalized Frobenius-Euler polynomials
Gennadiy Ilyuta
We prove the simultaneous multiplication formulas for Apostol-Bernoulli polynomials and generalized Frobenius-Euler polynomials. These formulas contain Dedekind-Rademacher sums, Ap…
Numerical semigroups, Dedekind sums and Alexander polynomials of torus knots
Gennadiy Ilyuta
We connect Dedekind sums and Alexander polynomials of torus knots.
Mordell and Tuenter formulas, Kubert functions and reciprocity theorems for Apostol-Dedekind sums
Gennadiy Ilyuta
We connect Dedekind sums and some formulas for numerical semigroups.
The generalized Gassert-Shor formula as combinatorial Stokes theorem
Gennadiy Ilyuta
We generalize Gassert-Shor formula for numerical semigroups.
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…
The height distribution in root systems
Gennadiy Ilyuta
We prove several formulas for the distribution of positive roots.