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 (2009), no. 265, 387–403.[MR]
  2. Alexander Berkovich and William C. Jagy, Ternary quadratic forms, modular equations and certain positivity conjectures, The Legacy of Alladi Ramakrishnan in the Mathematical Sciences, Springer, New York, 2009, pp. 211–241.[doi]
  3. Manjul Bhargava, Higher composition laws I: A new view on Gauss composition, and quadratic generalizations, Ann. of Math. (2) 159 (2004), no. 1, 217–250.[MR]
  4. 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 (1998), no. 3, 329–344.[MR]
  5. Carlos Castaño-Bernard, Further properties of a function of Ogg and Ligozat, Ramanujan J. 17 (2008), no. 1, 107–121.[MR]
  6. Darrin Doud, Supersingular Galois representations and a generalization of a conjecture of Serre, Experiment. Math. 16 (2007), no. 1, 119–128.[MR/link]
  7. Paul E. Gunnells and Dan Yasaki, Perfect forms over totally real number fields, preprint (2009), 11 pages.[arXiv]
  8. Jonathan Hanke, Local densities and explicit bounds for representability by a quadratric form, Duke Math. J. 124 (2004), no. 2, 351–388.[MR]
  9. Boris Hemkemeier, Algorithmische konstruktionen von gittern, preprint (2004), 64 pages.[arXiv]
  10. Ben Kane, CM liftings of supersingular elliptic curves, preprint (2009), 26 pages.[arXiv]
  11. Piotr Maciak, Primes of the form x2+n*y2 in function fields, preprint (2009), 12 pages.[arXiv]
  12. Jeremy Rouse, Zagier duality for the exponents of Borcherds products for Hilbert modular forms, J. London Math. Soc. (2) 73 (2006), no. 2, 339–354.[MR]
  13. John Voight, Quadratic Forms and Quaternion Algebras: Algorithms and Arithmetic, PhD Thesis, Berkeley, 2005.
  14. John Voight, Quadratic forms that represent almost the same primes, Math. Comp. 76 (2007), no. 259, 1589–1617 (electronic).[MR/arXiv]
  15. Tonghai Yang, Local densities of 2-adic quadratic forms, J. Number Theory 108 (2004), no. 2, 287–345.[MR]
  16. Dan Yasaki, Binary Hermitian forms over a cyclotomic field, J. Algebra 322 (2009), no. 11, 4132–4142.[MR/doi]
  17. Dan Yasaki, Hyperbolic tessellations associated to Bianchi groups, Algorithmic Number Theory, Lecture Notes in Comput. Sci., vol. 6197, Springer, Berlin, 2010, pp. 385–396.[doi]