Výsledky vyhledávání - "Ilyuta, Gennadiy"

Report

The simultaneous multiplication formulas for Apostol-Bernoulli polynomials and generalized Frobenius-Euler polynomials

Autor: Ilyuta, Gennadiy

We prove the simultaneous multiplication formulas for Apostol-Bernoulli polynomials and generalized Frobenius-Euler polynomials. These formulas contain Dedekind-Rademacher sums, Apostol-Dedekind sums and Fourier-Dedekind sums.
Comment: in Russia

Externí odkaz: http://arxiv.org/abs/2301.03255

Zobrazit plný text záznamu

Report

Numerical semigroups, Dedekind sums and Alexander polynomials of torus knots

Autor: Ilyuta, Gennadiy

We connect Dedekind sums and Alexander polynomials of torus knots.
Comment: in Russian

Externí odkaz: http://arxiv.org/abs/2112.14098

Zobrazit plný text záznamu

Report

Mordell and Tuenter formulas, Kubert functions and reciprocity theorems for Apostol-Dedekind sums

Autor: Ilyuta, Gennadiy

We connect Dedekind sums and some formulas for numerical semigroups.
Comment: in Russian

Externí odkaz: http://arxiv.org/abs/2112.07333

Zobrazit plný text záznamu

Report

The generalized Gassert-Shor formula as combinatorial Stokes theorem

Autor: Ilyuta, Gennadiy

We generalize Gassert-Shor formula for numerical semigroups.
Comment: in Russian

Externí odkaz: http://arxiv.org/abs/2012.11505

Zobrazit plný text záznamu

Report

Harer-Zagier generating functions, the Redfield-Polya cycle index and Cohen semilinear congruences

Autor: Ilyuta, Gennadiy

Harer-Zagier generating functions for Euler characteristics of moduli spaces of curves contain $n$-necklace polynomials. Taylor expansions for these polynomials depend on numbers of solutions of Cohen semilinear congruences.
Comment: in Russian

Externí odkaz: http://arxiv.org/abs/1812.06538

Zobrazit plný text záznamu

Report

The height distribution in root systems

Autor: Ilyuta, Gennadiy

We prove several formulas for the distribution of positive roots.
Comment: in Russian

Externí odkaz: http://arxiv.org/abs/1712.10124

Zobrazit plný text záznamu

Report

Saito duality and the classical theory of arithmetic functions

Autor: Ilyuta, Gennadiy

We study Saito duality and Fourier-Ramanujan transform for power sums and multiplicities of monodromy roots.
Comment: in Russian

Externí odkaz: http://arxiv.org/abs/1612.03543

Zobrazit plný text záznamu

Report

Growth functions of Coxeter groups, Poincare series of singularities and $2$-tangle $q$-fractions

Autor: Ilyuta, Gennadiy

Growth functions of Coxeter groups and the Poincare series of Kleinian and Fuchsian singularities are $2$-tangle $q$-fractions.
Comment: in Russian

Externí odkaz: http://arxiv.org/abs/1412.1905

Zobrazit plný text záznamu

Report

Dual characters of the Hecke algebra and twisted Markov traces

Autor: Ilyuta, Gennadiy

Twisted Markov traces and irreducible characters of the Hecke algebra are dual.
Comment: in Russian

Externí odkaz: http://arxiv.org/abs/1311.2915

Zobrazit plný text záznamu

Report

Clebsch-Gordan series, the inverse of a Cartan matrix and $\eta$-invariants

Autor: Ilyuta, Gennadiy

We prove some formulas relating the inverse of a Cartan matrix with algebraic and geometric invariants of finite group representations.
Comment: in Russian

Externí odkaz: http://arxiv.org/abs/1111.3705

Zobrazit plný text záznamu

Vyhledávací nástroje:

Upřesnit hledání