An isolation theorem for the arithmetic minimum of the product of linear forms with complex coefficients

1988 ◽  
Vol 43 (5) ◽  
pp. 2623-2624
Author(s):  
U. A. Akramov
Keyword(s):  
Linear Forms ◽  
Arithmetic Minimum ◽  
Product Of Linear Forms ◽  
Complex Coefficients ◽  
Isolation Theorem

Estimates of the nonhomogeneous arithmetic minimum of the product of linear forms

1990 ◽  
Vol 52 (3) ◽  
pp. 3098-3109
Author(s):  
A. V. Malyshev
Keyword(s):  
Linear Forms ◽  
Arithmetic Minimum ◽  
Product Of Linear Forms

scholarly journals Free non-associative principal train algebras

1984 ◽  
Vol 27 (3) ◽  
pp. 313-319 ◽  
Author(s):  
P. Holgate
Keyword(s):  
Finite Number ◽  
Ground Field ◽  
Linear Forms ◽  
Infinite Dimensional ◽  
Finite Dimensional ◽  
The Senses ◽  
Special Train ◽  
Complex Coefficients ◽  
Infinite Linear

The definitions of finite dimensional baric, train, and special train algebras, and of genetic algebras in the senses of Schafer and Gonshor (which coincide when the ground field is algebraically closed, and which I call special triangular) are given in Worz-Busekros's monograph [8]. In [6] I introduced applications requiring infinite dimensional generalisations. The elements of these algebras were infinite linear forms in basis elements a0, a1,… and complex coefficients such that In this paper I consider only algebras whose elements are forms which only a finite number of the xi are non zero.

On the product of n linear forms

1953 ◽  
Vol 49 (2) ◽  
pp. 190-193 ◽  
Author(s):  
H. Davenport
Keyword(s):  
Complex Conjugate ◽  
Linear Forms ◽  
Image Position ◽  
Complex Coefficients ◽  
Homogeneous Linear

Let L1, …, Ln be n homogeneous linear forms in n variables u1, …, un, with non-zero determinant Δ. Suppose that L1, …, Lr have real coefficients, that Lr+1, …, Lr+s have complex coefficients, and that the form Lr+s+j is the complex conjugate of the form Lr+j for j = 1, …, s, where r + 2s = n. Letfor integral u1, …, un, not all zero. For any n numbers α1, …, αn of the same ‘type’ as the forms L1, …, Ln (that is, α1, …, αr real, αr+1, …, αr+s complex, αr+s+j = ᾱr+j), let

A lower bound for the product of linear forms

1997 ◽  
Vol 43 (1-3) ◽  
pp. 115-120 ◽  
Author(s):  
Marvin Marcus
Keyword(s):  
Lower Bound ◽  
Linear Forms ◽  
Product Of Linear Forms

scholarly journals Isolation theorem for products of linear forms

1987 ◽  
Vol 100 (1) ◽  
pp. 29-29
Author(s):  
T. W. Cusick
Keyword(s):  
Linear Forms ◽  
Isolation Theorem

On the Product of Linear Forms

1943 ◽  
Vol 50 (3) ◽  
pp. 173 ◽  
Author(s):  
Gordon Pall
Keyword(s):  
Linear Forms ◽  
Product Of Linear Forms

A Note on the Product of Linear Forms

1944 ◽  
Vol 51 (3) ◽  
pp. 161
Author(s):  
Richard Bellman
Keyword(s):  
Linear Forms ◽  
Product Of Linear Forms

On the Product of Linear Forms

1943 ◽  
Vol 50 (3) ◽  
pp. 173-175
Author(s):  
Gordon Pall
Keyword(s):  
Linear Forms ◽  
Product Of Linear Forms

scholarly journals Equations for secant varieties of Chow varieties

2017 ◽  
Vol 27 (08) ◽  
pp. 1087-1111
Author(s):  
Yonghui Guan
Keyword(s):  
Secant Varieties ◽  
Linear Forms ◽  
Product Of Linear Forms ◽  
Chow Variety ◽  
The Ideal

The Chow variety of polynomials that decompose as a product of linear forms has been studied for more than 100 years. Finding equations in the ideal of secant varieties of Chow varieties would enable one to prove Valiant's conjecture [Formula: see text]. In this paper, I use the method of prolongation to obtain equations for secant varieties of Chow varieties as [Formula: see text]-modules.

A refinement of an estimate of the arithmetic minimum of the product of nonhomogeneous linear forms (regarding Minkowski's nonhomogeneous conjecture)

1982 ◽  
Vol 18 (6) ◽  
pp. 913-918 ◽  
Author(s):  
Kh. N. Narzullaev ◽  
B. F. Skubenko
Keyword(s):  
Linear Forms ◽  
Arithmetic Minimum
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