| 1. |
MTK volume 29 issue 2 Front matter |
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Mathematika,
Volume 29,
Issue 2,
1982,
Page 1-2
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ISSN:0025-5793
DOI:10.1112/S0025579300016508
出版商:London Mathematical Society
年代:1982
数据来源: WILEY
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| 2. |
Further lattice packings in high dimensions |
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Mathematika,
Volume 29,
Issue 2,
1982,
Page 171-180
A. Bos,
J. H. Conway,
N. J. A. Sloane,
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摘要:
AbstractBarnes and Sloane recently described a “general construction” for lattice packings of equal spheres in Euclidean space. In the present paper we simplify and further generalize their construction, and make it suitable for iteration. As a result we obtain lattice packings in ℝmwith density Δ satisfyinglog2Δ∼−m log2* m, asm→ ∞ wherelog2* mis the smallest value ofkfor which thek‐th iterated logarithm ofmis less than 1. These appear to be the densest lattices that have been explicitly constructed in high‐dimensional space. New records are also established in a number of lower dimensions, beginning in dimension 96.
ISSN:0025-5793
DOI:10.1112/S0025579300012262
出版商:London Mathematical Society
年代:1982
数据来源: WILEY
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| 3. |
Packing and covering with convex discs |
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Mathematika,
Volume 29,
Issue 2,
1982,
Page 181-193
L. Fejes Tóth,
A. Florian,
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ISSN:0025-5793
DOI:10.1112/S0025579300012274
出版商:London Mathematical Society
年代:1982
数据来源: WILEY
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| 4. |
Slices of L. Fejes Tóth's sausage conjecture |
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Mathematika,
Volume 29,
Issue 2,
1982,
Page 194-201
U. Betke,
P. Gritzmann,
J. M. Wills,
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ISSN:0025-5793
DOI:10.1112/S0025579300012286
出版商:London Mathematical Society
年代:1982
数据来源: WILEY
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| 5. |
Power mean values of the Riemann zeta‐function |
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Mathematika,
Volume 29,
Issue 2,
1982,
Page 202-212
J.-M. Deshouillers,
H. Iwaniec,
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ISSN:0025-5793
DOI:10.1112/S0025579300012298
出版商:London Mathematical Society
年代:1982
数据来源: WILEY
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| 6. |
On the Mertens conjecture for cusp forms |
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Mathematika,
Volume 29,
Issue 2,
1982,
Page 213-226
F. Grupp,
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ISSN:0025-5793
DOI:10.1112/S0025579300012304
出版商:London Mathematical Society
年代:1982
数据来源: WILEY
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| 7. |
Irrationality of lattices in finite characteristic |
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Mathematika,
Volume 29,
Issue 2,
1982,
Page 227-230
Jing Yu,
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ISSN:0025-5793
DOI:10.1112/S0025579300012316
出版商:London Mathematical Society
年代:1982
数据来源: WILEY
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| 8. |
Further solutions of the Falkner–Skan equation for β = – 1 and γ = 0 |
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Mathematika,
Volume 29,
Issue 2,
1982,
Page 231-248
C. M. Brauner,
Cl. Lainé,
B. Nicolaenko,
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摘要:
SummaryWe consider the Falkner–Skan equation{f′′′+ff′′+β(1−f′2)=0,f(0)=γ=0, f′(0)=0, f′(+∞)=1,in the special case β = – 1. It is known that this equation may be integrated twice to get the Riccati equationf′+f22=t22−λt, f(0)=0,
ISSN:0025-5793
DOI:10.1112/S0025579300012328
出版商:London Mathematical Society
年代:1982
数据来源: WILEY
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| 9. |
Connectivity and freely rolling convex bodies |
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Mathematika,
Volume 29,
Issue 2,
1982,
Page 249-259
P. R. Goodey,
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摘要:
AbstractIfCandCoare two convex bodies inEdwe say thatCslides (rolls) freely insideCoif the following condition is satisfied: for each x ∈ ∂C0(and each rotationR) there is a translationtsuch that, ifgC=C+t(=RC+t), thengC⊂Coandx∈ ∂gC. This work establishes certain topological conditions which ensure the free rolling and sliding ofCinsideCo. One consequence of these conditions is that, if ∂K∩ intgKis a topological ball for all rigid motionsg, thenKis a ball in the geometrical sense.
ISSN:0025-5793
DOI:10.1112/S002557930001233X
出版商:London Mathematical Society
年代:1982
数据来源: WILEY
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| 10. |
The recognition of certain Hausdorff like measures |
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Mathematika,
Volume 29,
Issue 2,
1982,
Page 260-263
Ronald Maude,
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ISSN:0025-5793
DOI:10.1112/S0025579300012341
出版商:London Mathematical Society
年代:1982
数据来源: WILEY
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