Well-rounded sublattices of planar lattices

被引：2

作者：

Baake, Michael ^{[1
]}

Scharlau, Rudolf ^{[2
]}

Zeiner, Peter ^{[1
]}

机构：

[1] Univ Bielefeld, Fak Math, D-33501 Bielefeld, Germany

[2] Tech Univ Dortmund, Fak Math, D-44221 Dortmund, Germany

来源：

ACTA ARITHMETICA | 2014年 / 166卷 / 04期

关键词：

geometry of numbers; planar lattices; sublattice enumeration; Dirichlet series generating functions; asymptotic growth; ZETA-FUNCTIONS; DIFFRACTION; DIMENSIONS; SYMMETRY; POINTS;

D O I：

10.4064/aa166-4-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

[No abstract available]

引用

页码：301 / 334

页数：34

共 33 条

[1]

[Anonymous], INTRO ARITHMETIC THE

[2]

[Anonymous], 1982, SYMMETRIEN ORNAMENTE

[3]

Apostol T.M., 1976, INTRO ANAL NUMBER TH

[4] Diffraction from visible lattice points and kth power free integers [J].

Baake, M ;

Moody, RV ;

Pleasants, PAB .

DISCRETE MATHEMATICS, 2000, 221 (1-3) :3-42

[5] Bravais colourings of planar modules with N-fold symmetry [J].

Baake, M ;

Grimm, U .

ZEITSCHRIFT FUR KRISTALLOGRAPHIE, 2004, 219 (02) :72-80

[6]

Baake M, 1997, NATO ADV SCI I C-MAT, V489, P9

[7] Coincidence rotations of the root lattice A4 [J].

Baake, Michael ;

Grimm, Uwe ;

Heuer, Manuela ;

Zeiner, Peter .

EUROPEAN JOURNAL OF COMBINATORICS, 2008, 29 (08) :1808-1819

[8] Similar Sublattices of Planar Lattices [J].

Baake, Michael ;

Scharlau, Rudolf ;

Zeiner, Peter .

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 2011, 63 (06) :1220-1237

[9]

Borevich Z.I., 1966, Number Theory

[10]

BRUDERN J, 1995, EINFUHRUNG ANAL ZAHL

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