Results 11 to 20 of about 22,559,531 (217)

Universal quadratic forms over semi-global fields [PDF]

open access: yes, 2023
We study anisotropic universal quadratic forms over semi-global fields; i.e., over one-variable function fields over complete discretely valued fields. In particular, given a semi-global field $F$, we compute both the $m$-invariant of $F$ and the set of ...
Cassady, Connor
core   +1 more source

Levels and sublevels of composition algebras over p-adic function fields [PDF]

open access: yes, 2008
In [O'S], the level and sublevel of composition algebras are studied, wherein these quantities are determined for those algebras defined over local fields.
Van Geel, Jan   +3 more
core   +1 more source

TORSION OF ELLIPTIC CURVES OVER QUADRATIC CYCLOTOMIC FIELDS [PDF]

open access: yes, 2010
In this paper we study the possible torsions of elliptic curves over ℚ(i) and ℚ(√−3)
Najman, Filip, Filip Najman
core   +1 more source

Quadratic Forms and Related Structures over Fields [PDF]

open access: yes, 2018
The range of topics discussed at the workshop “Quadratic Forms and Related Structures over Fields” included core themes from the algebraic theory of quadratic and hermitian forms and their Witt groups, several aspects of the theory of linear algebraic ...

core   +1 more source

On $n$-universal quadratic forms over dyadic local fields [PDF]

open access: yes, 2023
Let $ n \ge 2$ be an integer. We give necessary and sufficient conditions for an integral quadratic form over dyadic local fields to be $ n $-universal by using invariants from Beli\u27s theory of bases of norm generators.
Hu, Yong, He, Zilong
core   +1 more source

On classic n-universal quadratic forms over dyadic local fields [PDF]

open access: yes, 2023
Let $ n $ be an integer and $ n\ge 2 $. A classic integral quadratic form over local fields is called classic $ n $-universal if it represents all $n$-ary classic integral quadratic forms.
He, Zilong
core   +1 more source

Unimodular quadratic forms over global function fields [PDF]

open access: yes, 1979
The isometry problem is studied for unimodular quadratic forms over the Hasse domains of global function fields. Over the polynomial ring k[x] the problem reduces to classification of forms over k; but examples are provided showing that in general no ...
Gerstein, Larry J., Larry J. Gerstein
core   +1 more source

Artin L-Functions for Abelian Extensions of Imaginary Quadratic Fields [PDF]

open access: yes, 2005
Let F be an abelian extension of an imaginary quadratic field K with Galois group G. We form the Galois-equivariant L-function of the motive h(Spec F)(j) where the Tate twists j are negative integers.
Johnson, Jennifer Michelle
core   +1 more source

dynoGP: Deep Gaussian Processes for Dynamic System Identification

open access: yesInternational Journal of Adaptive Control and Signal Processing, EarlyView.
This work introduces a novel class of deep models for system identification, dynamical deep Gaussian processes, which combine the strengths of data‐driven methods, such as those based on neural network architectures, with the ability to output a probability distribution for uncertainty representation.
Alessio Benavoli   +3 more
wiley   +1 more source

Enumeration of quadratic forms over totally real fields [PDF]

open access: yes, 2012
Let F be a real quadratic field with OF its ring of integers. Let f be a quadratic form over F with discriminant D. Using Koecher Theory and the generalized Voronoï Algorithm, we show that there are finitely many quadratic forms with discriminant D over ...
Hamby, Paula J.   +1 more
core  

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