On the equivalence of quadratic forms

نویسندگان

چکیده

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Public Key Identification Based on the Equivalence of Quadratic Forms

The computational equivalence problem for quadratic forms is shown to be NP-hard under randomized reductions, in particular for indefinite, ternary quadratic forms with integer coefficients. This result is conditional on a variant of the Cohen-Lenstra heuristics on class numbers. Our identification scheme proves knowledge of an equivalence transform.

متن کامل

Applications of quadratic D-forms to generalized quadratic forms

In this paper, we study generalized quadratic forms over a division algebra with involution of the first kind in characteristic two. For this, we associate to every generalized quadratic from a quadratic form on its underlying vector space. It is shown that this form determines the isotropy behavior and the isometry class of generalized quadratic forms.

متن کامل

Zeta Functions for Equivalence Classes of Binary Quadratic Forms

They are sums of zeta functions for prehomogeneous vector spaces and generalizations of Epstein zeta functions. For the rational numbers and imaginary quadratic fields one can define these functions also for SL(2, ^-equivalence, which for convenience we call 1equivalence. The second function arises in the calculation of the Selberg trace formula for integral operators on L(PSL(2, (!?)\H) where ...

متن کامل

Explicit equivalence of quadratic forms over $\mathbb{F}_q(t)$

We propose a randomized polynomial time algorithm for computing nontrivial zeros of quadratic forms in 4 or more variables over Fq(t), where Fq is a finite field of odd characteristic. The algorithm is based on a suitable splitting of the form into two forms and finding a common value they both represent. We make use of an effective formula on the number of fixed degree irreducible polynomials ...

متن کامل

Testing for Multivariate Equivalence with Random Quadratic Forms

Multivariate equivalence testing becomes necessary whenever the similarity rather than a difference between several treatment groups with multiple endpoints has to be shown. This problem occurs in various applications, including bioequivalence or the comparison of dissolution profiles. Therefore, several tests have been suggested during the last decade for the assessment of multivariate equival...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Indagationes Mathematicae (Proceedings)

سال: 1959

ISSN: 1385-7258

DOI: 10.1016/s1385-7258(59)50026-8