Evaluation of the half-periods of the Weierstrass $\wp $-function for the absolute invariant greater than one

Ján Chrapan

Displaying similar documents to “Evaluation of the half-periods of the Weierstrass $℘$ -function for the absolute invariant greater than one”

Time-dependent invariant regions for parabolic systems related to one- dimensional nonlinear elasticity

Eduard Feireisl (1990)

Aplikace matematiky

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A parabolic system arisng as a viscosity regularization of the quasilinear one-dimensional telegraph equation is considered. The existence of $L \infty$ - a priori estimates, independent of viscosity, is shown. The results are achieved by means of generalized invariant regions.

Singular moduli (4)

G. Watson (1937)

Prace Matematyczno-Fizyczne

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Norm estimates of discrete Schrödinger operators

Ryszard Szwarc (1998)

Colloquium Mathematicae

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Harper’s operator is defined on $ℓ^{2} (Z)$ by $H_{θ} ξ (n) = ξ (n + 1) + ξ (n - 1) + 2 cos n θ ξ (n),$ where $θ \in [0, π]$ . We show that the norm of $∥ H_{θ} ∥$ is less than or equal to $2 \sqrt{2}$ for $π / 2 \leq θ \leq π$ . This solves a conjecture stated in [1]. A general formula for estimating the norm of self-adjoint tridiagonal infinite matrices is also derived.

A note on the integrals involving product of Hermite's polynomials

Jiří Fiala (1966)

Časopis pro pěstování matematiky

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On an approximation property of Pisot numbers II

Toufik Zaïmi (2004)

Journal de Théorie des Nombres de Bordeaux

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Let $q$ be a complex number, $m$ be a positive rational integer and $l_{m} (q) = inf {|P (q)|, P \in ℤ_{m} [X], P (q) \neq 0}$ , where $ℤ_{m} [X]$ denotes the set of polynomials with rational integer coefficients of absolute value $\leq m$ . We determine in this note the maximum of the quantities $l_{m} (q)$ when $q$ runs through the interval $] m, m + 1 [$ . We also show that if $q$ is a non-real number of modulus $> 1$ , then $q$ is a complex Pisot number if and only if $l_{m} (q) > 0$ for all $m$ .

Displaying similar documents to “Evaluation of the half-periods of the Weierstrass ℘ -function for the absolute invariant greater than one”

Time-dependent invariant regions for parabolic systems related to one- dimensional nonlinear elasticity

Singular moduli (4)

Norm estimates of discrete Schrödinger operators

A note on the integrals involving product of Hermite's polynomials

On an approximation property of Pisot numbers II

Displaying similar documents to “Evaluation of the half-periods of the Weierstrass $℘$ -function for the absolute invariant greater than one”