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Fields of Algebraic Numbers Computable in Polynomial Time. I of complex algebraic numbers has an isomorphic presentation computable in polynomial time. A similar fact

Inverse Sturm-Liouville problem with polynomials in the boundary condition and multiple eigenvaluesIn this paper, the inverse Sturm-Liouville problem with distribution potential and with polynomials

A Note on Explicit Formulas for Bernoulli PolynomialsFor r 2 { 1; - 1; 1 2 } , we prove several explicit formulas for the n-th Bernoulli polynomial Bn

An extremal property of Jacobi polynomials in two-sided chernoff-type inequalities for higher order derivativesFor a weight function generating the classical Jacobi polynomials, the sharp double estimate

On quantization of polynomial momentum observablesThe paper is devoted to quantization of polynomial momentum observables in the cotangent bundle

Finding minimal polynomials of algebraic numbers of the form tan2(π/n) using Tschirnhausen’s transform transform. The first problem is connected with the construction of minimal polynomials of the numbers

On Fluxbrane Polynomials for Generalized Melvin-like Solutions Associated with Rank 5 Lie Algebras coordinates z=ρ^2, which obey five differential master equations. The moduli functions are polynomials

On Two Categorifications of the Arrow Polynomial for Virtual KnotsTwo categorifications are given for the arrow polynomial, an extension of the Kauffman bracket

Galois groups for one class of equationsWe find recurrent formulas for obtaining minimal polynomials p n(x) ∈ Z[x] of numbers of the form

Algorithms of parametric estimation of polynomial trend models of time series on discrete transforms of estimation algorithms of polynomial trend models' parameters of time series. Algorithms evaluate polynomial

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