Hermitian forms and the large and small sieves
نویسندگان
چکیده
منابع مشابه
Small Zeros of Hermitian Forms over a Quaternion Algebra
Let D be a positive definite quaternion algebra over a totally real number field K, F (X, Y ) a hermitian form in 2N variables over D, and Z a right D-vector space which is isotropic with respect to F . We prove the existence of a small-height basis for Z over D, such that F (X, X) vanishes at each of the basis vectors. This constitutes a non-commutative analogue of a theorem of Vaaler [19], an...
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Signatures of quadratic forms over formally real fields have been generalized in [BP2] to hermitian forms over central simple algebras with involution over such fields. This was achieved by means of an application of Morita theory and a reduction to the quadratic form case. A priori, signatures of hermitian forms can only be defined up to sign, i.e., a canonical definition of signature is not p...
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ژورنال
عنوان ژورنال: Journal of Number Theory
سال: 1973
ISSN: 0022-314X
DOI: 10.1016/0022-314x(73)90054-1