摘要:

Let ℵηbe a singular cardinal of regular uncountable cofinality κ. Let {η(ξ): ξ<κ} be a continuous increasing sequence with limit η, and let κξ=ℵη(ξ)+Ф(ξ),ξ<κ be regular cardinals.LetIbe a normal ideal on κ, and assume that the reduced product ∏ξ<κκξ/Iadmits a cofinal λ‐scale of ordinal functions. Then λ ⩽ ℵη+τ, where τ=∥Ф∥Iis theI‐norm of Ф.

ISSN:0024-6093    

DOI:10.1112/blms/25.2.97

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6093    

DOI:10.1112/blms/25.2.104

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

In this note, the maximal Large Sieve inequality has been used to obtain following estimate:(')∫‐TTsup|D(S)|2dμ(t)⩽Cσ⩾0supτ∫U+τdμ(t)|U|‐1∑1N(T+n)|an|2whereD(s)=∑1Nann‐s,s=σ+it, is a Dirichlet series,dμ is a nonnegative Borel measure on R andU= [−Clog−1N] (sayT⩾1). In addition, the higher‐dimensional version of (*) has been obtained.

ISSN:0024-6093    

DOI:10.1112/blms/25.2.105

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6093    

DOI:10.1112/blms/25.2.114

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6093    

DOI:10.1112/blms/25.2.121

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

We prove the following theorem. Let m be an uncountable saturated structure of cardinality λ = λ<λand assume thatGis a subgroup of Aut (m) whose index is less than or equal to λ. Then there exists a subsetAof cardinality strictly less than λ such that every automorphism of m leavingApointwise fixed is inG.

ISSN:0024-6093    

DOI:10.1112/blms/25.2.125

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

In this paper we begin by examining the action ofE6(q) on the cosets of the subgroupF4(q): we give the rank and subdegrees, and show that it is multiplicity‐free, that is, the constituents of the permutation character are all distinct. It is found that the suborbits correspond to conjugacy classes ofA2(q); we seek to explain this using the concept of ‘folding actions’. This enables the related action of2E6(q2onF4(q) to be treated with little extra effort.

ISSN:0024-6093    

DOI:10.1112/blms/25.2.132

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

ISSN:0024-6093    

DOI:10.1112/blms/25.2.145

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

Hardy conjectured that there exists an L‐function whose inverse is not asymptotic to any L‐function. We show that this is true of the L‐function log(logx).log(log(logx)).

ISSN:0024-6093    

DOI:10.1112/blms/25.2.150

出版商:Oxford University Press    

年代:2016

数据来源: WILEY

摘要:

Letfbe a continuous self‐map of the unit circle,S1. The ω‐limit points ω(x) of a pointxare the set of all limit points of the sequence of iterates offacting onx. We shall show that the set of all ω‐limit points∪x∈s1ω(x)is a closed set inS1.

ISSN:0024-6093    

DOI:10.1112/blms/25.2.157

出版商:Oxford University Press    

年代:2016

数据来源: WILEY