1. |
On the Least Prime in Certain Arithmetic Progressions |
|
Journal of the London Mathematical Society,
Volume s2-41,
Issue 2,
2016,
Page 193-200
Andrew Granville,
Carl Pomerance,
Preview
|
PDF (436KB)
|
|
摘要:
We find infinitely many pairs of coprime integers,aandq, such that the least prime congruent toa(moduloq) is unusually large. In so doing we also consider the question of approximating rationals by other rationals with smaller and coprime denominators.
ISSN:0024-6107
DOI:10.1112/jlms/s2-41.2.193
出版商:Oxford University Press
年代:2016
数据来源: WILEY
|
2. |
Multiplicative Functions on Arithmetic Progressions: IV. The Middle Moduli |
|
Journal of the London Mathematical Society,
Volume s2-41,
Issue 2,
2016,
Page 201-216
P. D. T. A. Elliott,
Preview
|
PDF (807KB)
|
|
ISSN:0024-6107
DOI:10.1112/jlms/s2-41.2.201
出版商:Oxford University Press
年代:2016
数据来源: WILEY
|
3. |
Simple Periodic Modules Over Chevalley Groups |
|
Journal of the London Mathematical Society,
Volume s2-41,
Issue 2,
2016,
Page 217-230
Ingo Janiszczak,
Jens Carsten Jantzen,
Preview
|
PDF (898KB)
|
|
ISSN:0024-6107
DOI:10.1112/jlms/s2-41.2.217
出版商:Oxford University Press
年代:2016
数据来源: WILEY
|
4. |
A Problem of Wielandt on Finite Permutation Groups |
|
Journal of the London Mathematical Society,
Volume s2-41,
Issue 2,
2016,
Page 231-243
P. Förster,
L. G. Kovács,
Preview
|
PDF (936KB)
|
|
ISSN:0024-6107
DOI:10.1112/jlms/s2-41.2.231
出版商:Oxford University Press
年代:2016
数据来源: WILEY
|
5. |
Necessary and Sufficient Conditions for Oscillation of Neutral Equations with Deviating Arguments |
|
Journal of the London Mathematical Society,
Volume s2-41,
Issue 2,
2016,
Page 244-260
M. K. Grammatikopoulos,
I. P. Stavroulakis,
Preview
|
PDF (722KB)
|
|
摘要:
Consider the first‐order neutral differential equation(1)ddt[x(t)+px(t−τ)+rx(t−ρ)]+qx(t−σ)+gx(t−μ)=0,wherep, r, q, g, τ,p∈ R and σ, μ ∈[0, ∞). A necessary and sufficient condition for the oscillation of all solutions of (1) is that its characteristic equation λ+λpe−λτ+λre−λp+qe−λσ+ge−λμ=0 has no real roots. The method of proof has the advantage that it results in easily verifiable sufficient conditions (in terms of the coefficients and the arguments only) for the oscillation of all solutions of (1).
ISSN:0024-6107
DOI:10.1112/jlms/s2-41.2.244
出版商:Oxford University Press
年代:2016
数据来源: WILEY
|
6. |
Topological and Measure‐Theoretic Conjugacy of Subshifts Using the Ruelle Operator |
|
Journal of the London Mathematical Society,
Volume s2-41,
Issue 2,
2016,
Page 261-271
Robert Cowen,
Preview
|
PDF (688KB)
|
|
摘要:
In this paper we introduce new necessary and sufficient conditions for two finite state topological Markov chains to be topologically conjugate via a conjugacy which preserves certain equilibrium states. We also investigate the relationship between these new conditions and Williams's problem.
ISSN:0024-6107
DOI:10.1112/jlms/s2-41.2.261
出版商:Oxford University Press
年代:2016
数据来源: WILEY
|
7. |
On Expanding Endomorphisms of the Circle |
|
Journal of the London Mathematical Society,
Volume s2-41,
Issue 2,
2016,
Page 272-282
Robert Cowen,
Preview
|
PDF (688KB)
|
|
摘要:
In this paper we investigate a problem posed by M. Shub and D. Sullivan on the classification of real analytic Lebesgue measure‐preserving endomorphisms of the circle. We introduce a new Jacobian invariant that enables us to study the phase factor. Finally, we introduce complete measure‐theoretic isomorphism invariants which turn out to be simultaneously measure‐theoretic and topological in character.
ISSN:0024-6107
DOI:10.1112/jlms/s2-41.2.272
出版商:Oxford University Press
年代:2016
数据来源: WILEY
|
8. |
Chanillo–Wheeden Inequalities for 0 |
|
Journal of the London Mathematical Society,
Volume s2-41,
Issue 2,
2016,
Page 283-294
J. Michael Wilson,
Preview
|
PDF (597KB)
|
|
摘要:
Forf∈S, a tempered distribution, letS(f) be a real‐variable variant of the Lusin area function offand letG(f) be the Fefferman–Stein ‘grand’ maximal function off. LetMdenote the usual Hardy–Littlewood maximal operator. We prove that for all 0
ISSN:0024-6107
DOI:10.1112/jlms/s2-41.2.283
出版商:Oxford University Press
年代:2016
数据来源: WILEY
|
9. |
Equivalent Open Projections and Corresponding Hereditary C∗‐Subalgebras |
|
Journal of the London Mathematical Society,
Volume s2-41,
Issue 2,
2016,
Page 295-301
Huaxin Lin,
Preview
|
PDF (446KB)
|
|
摘要:
LetAbe a C∗‐algebra,pandqtwo open projections. We consider the following problem. Ifp∼qinA∗∗, are the corresponding hereditary C∗‐subalgebras isomorphic? We show that the answer is negative in general and affirmative in a number of cases.
ISSN:0024-6107
DOI:10.1112/jlms/s2-41.2.295
出版商:Oxford University Press
年代:2016
数据来源: WILEY
|
10. |
Bounds for Constants in Some Operator Inequalities in the Schatten Classes |
|
Journal of the London Mathematical Society,
Volume s2-41,
Issue 2,
2016,
Page 303-309
A. Abdessemed,
Preview
|
PDF (273KB)
|
|
摘要:
Upper and lower bounds are found for the smallest constants αpand βpfor which the following inequalities hold:∥|A|B−B|A|∥p⩽αp∥AB−BA∥p,∥|A|−|B|∥p⩽βp∥A−B∥pfor all self‐adjoint operatorsAandBon a Hilbert space.
ISSN:0024-6107
DOI:10.1112/jlms/s2-41.2.303
出版商:Oxford University Press
年代:2016
数据来源: WILEY
|