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Now showing items 1-10 of 125

#### Primes in short segments of arithmetic progressions

(Cambridge University Press, 1998)

Consider the variance for the number of primes that are both in the interval [y, y + h] for y ∈ [x, 2x] and in an arithmetic progression of modulus q. We study the total variance obtained by adding these variances over all ...

#### Defects of irreducible characters of p-Soluble groups

(Academic Press, 1998)

We prove a refinement of thep-soluble case of Robinson's conjectural local characterization of the defect of an irreducible character. © 1998 Academic Press.

#### Second-order second-degree Painlevé equations related to Painlevé IV,V,VI equations

(Institute of Physics Publishing Ltd., 1998)

The algorithmic method introduced by Fokas and Ablowitz to investigate the transformation properties of Painlevé equations is used to obtain one-to-one correspondence between the Painlevé IV, V and VI equations and the ...

#### Countable extreme Gibbs states in a one-dimensional model with unique ground state

(, 1998)

A one-dimensional model having a unique ground state and countable number of extreme limit Gibbs states is constructed.

#### Isomorphic classification of the spaces of Whitney functions

(University of Michigan, Department of Mathematics, 1997)

#### Sigma Models and Minimal Surfaces

(Springer Netherlands, 1998)

Correspondence is established between sigma models, minimal surfaces and the Monge-Ampére equation. The Lax pairs of the minimality condition of the minimal surfaces and the Monge-Ampére equations are given. Existence of ...

#### Perfect sets of finite class without the extension property

(Polish Academy of Sciences, Institute of Mathematics, 1997)

We prove that generalized Cantor sets of class α, α ≠ 2, have the extension property iff α < 2. Thus belonging of a compact set K to some finite class α cannot be a characterization for the existence of an extension operator. ...

#### On the classification of the third reduction with a spectral value condition

(Mathematical Society of Japan, 1997)

#### On degenerations of fiber spaces of curves of genus ≧ 2

(Birkhaeuser Science, 1997)

In this note, we show that for surfaces admitting suitable fibrations, any given degeneration script x sign/Δ is bimeromorphic to a fiber space over a curve Y/Δ and we apply this result to the study of the degenerate fiber.

#### An application of linear topological invariants

(1997)

We consider a possible isomorphism of cartesian product of two Dragilev spaces of infinite type, and by making use of Zahariuta invariants and some structural properties, we show that if there is such an isomorphism, then ...