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[Texts]## 11E: Forms and linear algebraic groups |

- 11E04: Quadratic forms over general fields
- 11E08: Quadratic forms over local rings and fields
- 11E10: Forms over real fields
- 11E12: Quadratic forms over global rings and fields
- 11E16: General binary quadratic forms
- 11E20: General ternary and quaternary quadratic forms; forms of more than two variables
- 11E25: Sums of squares and representations by other particular quadratic forms
- 11E39: Bilinear and Hermitian forms
- 11E41: Class numbers of quadratic and Hermitian forms
- 11E45: Analytic theory (Epstein zeta functions; relations with automorphic forms and functions)
- 11E57: Classical groups [See also 14Lxx, 20Gxx]
- 11E70:
*K*-theory of quadratic and Hermitian forms - 11E72: Galois cohomology of linear algebraic groups [See also 20G10]
- 11E76: Forms of degree higher than two
- 11E81: Algebraic theory of quadratic forms; Witt groups and rings [See also 19G12, 19G24]
- 11E88: Quadratic spaces; Clifford algebras [See also 15A63, 15A66]
- 11E95:
*p*-adic theory - 11E99: None of the above, but in this section

Parent field: 11: Number Theory

Browse all (old) classifications for this area at the AMS.

- Lam, T. Y.: "The algebraic theory of quadratic forms", Benjamin/Cummings Publishing Co., Inc., Advanced Book Program, Reading, Mass., 1980. 343 pp. ISBN 0-805-35665-1
- Platonov, Vladimir; Rapinchuk, Andrei: "Algebraic groups and number theory", Pure and Applied Mathematics, 139. Academic Press, Inc., Boston, MA, 1994. 614 pp. ISBN 0-12-558180-7

- Citations on representing integers by quadratic forms
- Representation by the quadratic forms x^2 +- x y + y^2
- Representation of integers by quadratic forms in three variables
- Artin, Chevalley theorem: homogeneous forms represent zero (nontrivially) if the number of variables is large enough.
- Which Gaussian integers are sums of two (or more) squares?

Last modified 2000/01/14 by Dave Rusin. Mail: