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Abelian orbifolds of C^3 are known to be encoded by hexagonal brane tilings.
Undergraduate Texts in Mathematics. Springer-Verlag, New York–Heidelberg, 1976
T. M. Apostol, Introduction to analytic number theory · 1976
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M. Kucab, Colour lattices and spin translation groups. general case
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G. Robin, Grandes valeurs de la fonction somme des diviseurs et hypothèse de riemann
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J. S. Rutherford, The enumeration and symmetry-significant properties of derivative lattices
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Kluwer, Dordrecht, 1997
M. Baake, Solution of the coincidence problem in dimensions d ≤ 4 d\leq 4 · 1997
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Oxford University Press, 2003
N. L. Biggs, Discrete Mathematics · 2003
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S. Franco, A. Hanany, K. D. Kennaway, D. Vegh, and B. Wecht, Brane Dimers and Quiver Gauge Theories
2006
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A. Hanany and K. D. Kennaway, Dimer models and toric diagrams
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J. Davey, A. Hanany, and J. Pasukonis, On the Classification of Brane Tilings
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J. Davey, A. Hanany, and R.-K. Seong, Counting Orbifolds
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S. Lee, S. Lee, and J. Park, Toric AdS(4)/CFT(3) duals and M-theory crystals
2007
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A. Hanany and A. Zaffaroni, Tilings, Chern-Simons Theories and M2 Branes
2008
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J. S. Rutherford, Sublattice enumeration. iv. equivalence classes of plane sublattices by parent patterson symmetry and colour lattice group type
2009
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