Specialization of quadratic and symmetric, bilinear forms, and a norm theorem
Spectral Real Semigroups
The notion of a real semigroup was introduced in [8] to provide a framework for the investigation of the theory of (diagonal) quadratic forms over commutative, unitary, semi-real rings. In this paper we introduce and study an outstanding class of such structures, that we call spectral real semigroups (SRS). Our main results are: (i) The existence of a natural functorial duality between the category of SRSs and that of hereditarily normal spectral spaces; (ii) Characterization of the SRSs as the...
Spinor genera under field extensions, I
Splitting of Hermitian Forms over Group Rings.
Splitting patterns of excellent quadratic forms.
Square-free points on ellipsoids
Stably hyperbolic ...-hermitian forms and doubly sliced knots.
Strong Riesz sets and polynomials
Strongly modular lattices with long shadow
This article classifies the strongly modular lattices with longest and second longest possible shadow.
Subspace in Hermitean Spaces of Countable Dimension. II.
Subspaces in Hermitean Spaces of Countable Dimension.
Summation of singular series corresponding to representations of numbers by some quadratic forms in twelve variables.
Summation of singular series corresponding to the representation of integers by some quadratic forms in fourteen variables.
Sums of 2m-th powers of rational functions in one variable over real closed fields.
Sums of th powers in non-commutative rings.
Sums of mixed powers in fields and orderings of prescribed level.
Sums of nine squares
Sums of powers in rings and the real holomorphy ring.
Sums of squares and quadratric forms in real algebraic geometry
Sums of Squares Coprime in Pairs
Asymptotic formulae are provided for the number of representations of a natural number as the sum of four and of three squares that are pairwise coprime.