PPE Circuits for Rational Polynomials

2021 ◽  
Author(s):  
Susan Hohenberger ◽  
Satyanarayana Vusirikala
Keyword(s):  
Rational Polynomials

scholarly journals Polynomial ring representations of endomorphisms of exterior powers

2021 ◽  
Author(s):  
Ommolbanin Behzad ◽  
André Contiero ◽  
Letterio Gatto ◽  
Renato Vidal Martins
Keyword(s):  
Lie Algebra ◽  
Polynomial Ring ◽  
Vertex Operators ◽  
Exterior Power ◽  
Infinite Dimensional ◽  
Symmetric Structure ◽  
Rational Polynomials ◽  
Exterior Powers ◽  
Vertex Representation ◽  
Countably Infinite

AbstractAn explicit description of the ring of the rational polynomials in r indeterminates as a representation of the Lie algebra of the endomorphisms of the k-th exterior power of a countably infinite-dimensional vector space is given. Our description is based on results by Laksov and Throup concerning the symmetric structure of the exterior power of a polynomial ring. Our results are based on approximate versions of the vertex operators occurring in the celebrated bosonic vertex representation, due to Date, Jimbo, Kashiwara and Miwa, of the Lie algebra of all matrices of infinite size, whose entries are all zero but finitely many.

scholarly journals Rational polynomials with a C∗-fiber

1996 ◽  
Vol 174 (1) ◽  
pp. 141-194 ◽  
Author(s):  
Shulim Kaliman
Keyword(s):  
C Fiber ◽  
Rational Polynomials

scholarly journals On Classical Gauss Sums and Some of Their Properties

Symmetry ◽  
2018 ◽  
Vol 10 (11) ◽  
pp. 625 ◽  
Author(s):  
Li Chen
Keyword(s):  
Recursive Formula ◽  
Character Sums ◽  
Gauss Sums ◽  
Computational Problem ◽  
Rational Polynomials

The goal of this paper is to solve the computational problem of one kind rational polynomials of classical Gauss sums, applying the analytic means and the properties of the character sums. Finally, we will calculate a meaningful recursive formula for it.

A Note on Curve-Fitting with Rational Polynomials

1967 ◽  
Vol 60 (2) ◽  
pp. 129-132
Author(s):  
Ladis D. Kovach
Keyword(s):  
Curve Fitting ◽  
Rational Polynomials
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