1. |
Decidability for Theories of Modules |
|
Journal of the London Mathematical Society,
Volume s2-38,
Issue 2,
2016,
Page 193-206
Françoise Point,
Mike Prest,
Preview
|
PDF (1199KB)
|
|
ISSN:0024-6107
DOI:10.1112/jlms/s2-38.2.193
出版商:Oxford University Press
年代:2016
数据来源: WILEY
|
2. |
Lattice Octahedra and Sums of Powers of Linear Forms |
|
Journal of the London Mathematical Society,
Volume s2-38,
Issue 2,
2016,
Page 207-215
T. W. Cusick,
J. Wolfskill,
Preview
|
PDF (448KB)
|
|
摘要:
Inn‐dimensional real space, letu1,…,unbenlinearly independent points of a latticeL. Assume that the closed octahedron formed by the convex hull of the points ±u1,…, ±uncontains no points of L other than the origin and the octahedron vertices. An old problem, solved by Minkowski forn= 2 and 3, concerns the possible values of the indexIinLof the sublattice generated by theujWe prove that there exist latticesLsuch thatI⩾n!/2nforn⩾ 5. This result is used to prove the existence ofnlinear forms innvariables with determinantD, the sum of whose absolute values is, asymptotically, at leastn|D|1/n/2e. Similar results are proved for the sum of thepth powers of the absolute values ofnlinear forms, wherepis any fixed real number not less than 1. For quadratic forms (p= 2) our result matches a classical theorem of Minkowski; forp≠ 2 our result is new.
ISSN:0024-6107
DOI:10.1112/jlms/s2-38.2.207
出版商:Oxford University Press
年代:2016
数据来源: WILEY
|
3. |
Weyl's Inequality, Hua's Inequality, and Waring's Problem |
|
Journal of the London Mathematical Society,
Volume s2-38,
Issue 2,
2016,
Page 216-230
D. R. Heath‐Brown,
Preview
|
PDF (602KB)
|
|
ISSN:0024-6107
DOI:10.1112/jlms/s2-38.2.216
出版商:Oxford University Press
年代:2016
数据来源: WILEY
|
4. |
A Class of Analytic Coverings Ramified overu3=v2 |
|
Journal of the London Mathematical Society,
Volume s2-38,
Issue 2,
2016,
Page 231-242
Gabi Teodosiu,
Preview
|
PDF (732KB)
|
|
ISSN:0024-6107
DOI:10.1112/jlms/s2-38.2.231
出版商:Oxford University Press
年代:2016
数据来源: WILEY
|
5. |
On a Question of W. Jehne Concerning Covering Subgroups of Groups and Kronecker Classes of Fields |
|
Journal of the London Mathematical Society,
Volume s2-38,
Issue 2,
2016,
Page 243-249
Jan Saxl,
Preview
|
PDF (545KB)
|
|
ISSN:0024-6107
DOI:10.1112/jlms/s2-38.2.243
出版商:Oxford University Press
年代:2016
数据来源: WILEY
|
6. |
Spin Modules for Symmetric Groups |
|
Journal of the London Mathematical Society,
Volume s2-38,
Issue 2,
2016,
Page 250-262
Dave Benson,
Preview
|
PDF (855KB)
|
|
ISSN:0024-6107
DOI:10.1112/jlms/s2-38.2.250
出版商:Oxford University Press
年代:2016
数据来源: WILEY
|
7. |
On the Schur Multipliers of Coxeter Groups |
|
Journal of the London Mathematical Society,
Volume s2-38,
Issue 2,
2016,
Page 263-276
Robert B. Howlett,
Preview
|
PDF (813KB)
|
|
摘要:
The Schur multipliers of all finite and certain infinite Coxeter groups have been calculated by Ihara and Yokonuma [5] and Yokonuma [7]. The purpose of this paper is to give a unified treatment of the Schur multipliers of all Coxeter groups of finite rank, avoiding the case by case arguments used in [5, 7] and permitting speedy calculations of the Schur mulipliers by inspection of the Coxeter diagram associated with a Coxeter group.
ISSN:0024-6107
DOI:10.1112/jlms/s2-38.2.263
出版商:Oxford University Press
年代:2016
数据来源: WILEY
|
8. |
On Automorphisms of Free Groups I |
|
Journal of the London Mathematical Society,
Volume s2-38,
Issue 2,
2016,
Page 277-285
A. H. M. Hoare,
Preview
|
PDF (631KB)
|
|
ISSN:0024-6107
DOI:10.1112/jlms/s2-38.2.277
出版商:Oxford University Press
年代:2016
数据来源: WILEY
|
9. |
Essential Spectra of a Class of Elliptic Operators |
|
Journal of the London Mathematical Society,
Volume s2-38,
Issue 2,
2016,
Page 286-292
Houshang H. Sohrab,
Preview
|
PDF (448KB)
|
|
摘要:
We determine the essential spectra of a class of (not uniformly) elliptic operators of Schrodinger type. To control the perturbations, we use the boundedness and compactness of related pseudo‐differential operators. The results can be used to derive Fredholm criteria in large classes of pseudo‐differential C∗‐ algebras. They also provide the essential spectra of the corresponding Riemannian manifolds.
ISSN:0024-6107
DOI:10.1112/jlms/s2-38.2.286
出版商:Oxford University Press
年代:2016
数据来源: WILEY
|
10. |
On the Existence of Meromorphic Functions with a Prescribed Set of Zeros, Ones and Poles and on Functions Sharing Values |
|
Journal of the London Mathematical Society,
Volume s2-38,
Issue 2,
2016,
Page 293-306
Jörg Winkler,
Preview
|
PDF (776KB)
|
|
ISSN:0024-6107
DOI:10.1112/jlms/s2-38.2.293
出版商:Oxford University Press
年代:2016
数据来源: WILEY
|