Results 191 to 200 of about 220,587 (227)

Vishik equivalence and similarity of quasilinear p-forms and totally singular quadratic forms

Pacific Journal of Mathematics, 2023
For quadratic forms over fields of characteristic different from two, there is a so-called Vishik criterion, giving a purely algebraic characterization of when two quadratic forms are motivically equivalent.
Krist'yna Zemkov'a
semanticscholar   +1 more source

Quasilinear quadratic forms and function fields of quadrics

Mathematische Zeitschrift, 2019
Let p and q be anisotropic quadratic forms of dimension $$\ge 2$$ ≥ 2 over a field F . In a recent article, we formulated a conjecture describing a general constraint which the dimensions of p and q impose on the isotropy index of q after scalar ...
Stephen Scully
semanticscholar   +2 more sources

Regularized inner products and modular invariants for real quadratic fields

Transactions of the American Mathematical Society
In this paper, we study the regularized inner products of Borcherds-Zagier bases of the space of weakly holomorphic modular forms of weight
Vaibhav Kalia, Balesh Kumar
semanticscholar   +1 more source

On isotropy fields of 𝑆𝑝𝑖𝑛(18)-torsors

St. Petersburg Mathematical Journal
It is shown that any 18 18 -dimensional nondegenerate quadratic form of trivial discriminant and Clifford invariant acquires Witt index at least 5 5 over some finite ground field extension of degree not divisible by 2 4 2^4
N. Karpenko
semanticscholar   +1 more source

Evaluation of weil sums for some polynomials and associated quadratic forms

Cryptography and Communications, 2023
Ruikai Chen, Sihem Mesnager
semanticscholar   +1 more source

Ordinary primes for GL2$\operatorname{GL}_2$ ‐type abelian varieties and weight 2 modular forms

Mathematika
Let A$A$ be a g$g$ ‐dimensional abelian variety defined over a number field F$F$ . It is conjectured that the set of ordinary primes of A$A$ over F$F$ has positive density, and this is known to be true when g=1,2$g=1, 2$ , or for certain abelian ...
Tian Wang, Pengcheng Zhang
semanticscholar   +1 more source

Homogeneous generalized functions in a vector space over a local non-Archimedean field which are related to a quadratic form

Functional Analysis and Its Applications, 1973
Graev, M. I., Prokhorova, R. I.
openaire   +1 more source

Linear codes from quadratic forms

Applicable Algebra in Engineering, Communication and Computing, 2017
Xiaoni Du, Yunqi Wan
semanticscholar   +2 more sources