Author

D. I. Khomovsky

3 papers indexed here

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Sep 2026

Symmetry reductions and recurrence degrees for banded Toeplitz determinants and permanents

This paper studies symmetry-induced reductions of scalar recurrence complexity for balanced banded Toeplitz determinants and permanents. Three mechanisms emerge: determinant state and spectral compression, exceptional permanent--determinant conversion, and symmetries of permanent state spaces. For symmetric determinant...

Max A. Alekseyev, D. I. Khomovsky · 0 citations

Preprint Sep 2026

Congruence Jumping in Polynomial Divisibility Systems: Arithmetic Structure and Solution Sets

Let $A$ and $B$ be polynomials with integer coefficients. We study nonzero integer solutions of $$y\mid A(x),\qquad x\mid B(y),$$ using quotient transformations that may change the polynomial pair. We call this process \emph{congruence jumping}. We establish a general reciprocal-polynomial rule governing such jumps, wi...

Max A. Alekseyev, D. I. Khomovsky · 0 citations

Preprint Sep 2026

Constructive recurrences for determinants and permanents of banded Toeplitz matrices

For fixed nonnegative integers $m_1,m_2$, let $A_n=(a_{j-i})_{i,j=1}^n$ be the leading $n\times n$ section of a Toeplitz matrix with lower and upper semibandwidths $m_1$ and $m_2$. We give two constructive Laplace-expansion methods for scalar recurrences of $\det A_n$ and $\perm A_n$. The increasing-rows method elimina...

Max A. Alekseyev, D. I. Khomovsky · 2 citations · ⚡1