Similar Sublattices of Planar Lattices

Baake M, Scharlau R, Zeiner P (2011)
Canadian Journal of Mathematics 63(6): 1220-1237.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Abstract / Bemerkung
The similar sublattices of a planar lattice can be classified via its multiplier ring. The latter is the ring of rational integers in the generic case, and an order in an imaginary quadratic field otherwise. Several classes of examples are discussed, with special emphasis on concrete results. In particular, we derive Dirichlet series generating functions for the number of distinct similar sublattices of a given index, and relate them to zeta functions of orders in imaginary quadratic fields.
Erscheinungsjahr
2011
Zeitschriftentitel
Canadian Journal of Mathematics
Band
63
Ausgabe
6
Seite(n)
1220-1237
ISSN
0008-414X
Page URI
https://pub.uni-bielefeld.de/record/2454761

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Baake M, Scharlau R, Zeiner P. Similar Sublattices of Planar Lattices. Canadian Journal of Mathematics. 2011;63(6):1220-1237.
Baake, M., Scharlau, R., & Zeiner, P. (2011). Similar Sublattices of Planar Lattices. Canadian Journal of Mathematics, 63(6), 1220-1237. https://doi.org/10.4153/CJM-2011-019-9
Baake, M., Scharlau, R., and Zeiner, P. (2011). Similar Sublattices of Planar Lattices. Canadian Journal of Mathematics 63, 1220-1237.
Baake, M., Scharlau, R., & Zeiner, P., 2011. Similar Sublattices of Planar Lattices. Canadian Journal of Mathematics, 63(6), p 1220-1237.
M. Baake, R. Scharlau, and P. Zeiner, “Similar Sublattices of Planar Lattices”, Canadian Journal of Mathematics, vol. 63, 2011, pp. 1220-1237.
Baake, M., Scharlau, R., Zeiner, P.: Similar Sublattices of Planar Lattices. Canadian Journal of Mathematics. 63, 1220-1237 (2011).
Baake, Michael, Scharlau, Rudolf, and Zeiner, Peter. “Similar Sublattices of Planar Lattices”. Canadian Journal of Mathematics 63.6 (2011): 1220-1237.

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