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Number Theory

Forms and Linear Algebraic Groups

11Exx

[1] Kanat Abdukhalikov and Rudolf Scharlau. Unimodular lattices in dimensions 14 and 15 over the Eisenstein integers. Math. Comp., 78(265):387–403, 2009.
[2] Manjul Bhargava. Higher composition laws I: A new view on Gauss composition, and quadratic generalizations. Ann. of Math. (2), 159(1):217–250, 2004.
[3] Donald I. Cartwright and Tim Steger. Application of the Bruhat–Tits tree of SU3(h) to some A2 groups. J. Austral. Math. Soc. Ser. A, 64(3):329–344, 1998.
[4] Carlos Castaño-Bernard. Further properties of a function of Ogg and Ligozat. Ramanujan J., 17(1):107–121, 2008.
[5] Darrin Doud. Supersingular Galois representations and a generalization of a conjecture of Serre. Experiment. Math., 16, 119–128 pages, 2007.
[6] Jonathan Hanke. Local densities and explicit bounds for representability by a quadratric form. Duke Math. J., 124(2):351–388, 2004.
[7] Boris Hemkemeier. Algorithmische konstruktionen von gittern. arXiv:math.MG/0411134, 64 pages, 2004.
[8] Jeremy Rouse. Zagier duality for the exponents of Borcherds products for Hilbert modular forms. J. London Math. Soc. (2), 73(2):339–354, 2006.
[9] John Voight. Quadratic Forms and Quaternion Algebras: Algorithms and Arithmetic. PhD thesis, Berkeley, 2005.
[10] John Voight. Quadratic forms that represent almost the same primes. Math. Comp., 76(259):1589–1617 (electronic), 2007.
[11] Tonghai Yang. Local densities of 2-adic quadratic forms. J. Number Theory, 108(2):287–345, 2004.
[12] Dan Yasaki. Hyperbolic tessellations associated to Bianchi groups. arXiv:0908.1762, 8 pages, 2009.

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