Explicit Constructions of Generic Polynomials for Some Elementary Groups

2004 ◽  
pp. 173-194 ◽  
Author(s):  
Yūichi Rikuna
Keyword(s):  
Explicit Constructions ◽  
Generic Polynomials

scholarly journals On parametric and generic polynomials with one parameter

2021 ◽  
Vol 225 (10) ◽  
pp. 106717
Author(s):  
Pierre Dèbes ◽  
Joachim König ◽  
François Legrand ◽  
Danny Neftin
Keyword(s):  
Generic Polynomials

scholarly journals Generic polynomials

1983 ◽  
Vol 84 (2) ◽  
pp. 441-448 ◽  
Author(s):  
Frank R DeMeyer
Keyword(s):  
Generic Polynomials

The Neuwirth Conjecture for a family of satellite knots

2019 ◽  
Vol 28 (02) ◽  
pp. 1950017
Author(s):  
Mario Eudave-Muñoz ◽  
José Frías
Keyword(s):  
Closed Surface ◽  
Explicit Constructions ◽  
Satellite Knots

Let [Formula: see text] be a nontrivial knot in [Formula: see text]. It was conjectured that there exists a Neuwirth surface for [Formula: see text]. That is, a closed surface in [Formula: see text] containing the knot [Formula: see text] as a nonseparating curve and such that every compressing disk for the surface intersects the knot in at least two points. We provide explicit constructions of Neuwirth surfaces for a family of satellite knots, which do not depend on the existence of nonorientable algebraically incompressible and [Formula: see text]-incompressible spanning surfaces for these knots.

The Construction of Automorphic Forms From the Derivatives of a Given Form II

1985 ◽  
Vol 28 (3) ◽  
pp. 306-316
Author(s):  
R. A. Rankin
Keyword(s):  
Automorphic Form ◽  
Symmetric Functions ◽  
Automorphic Forms ◽  
Explicit Constructions ◽  
Derivatives Of

AbstractExplicit constructions of polynomials of preassigned degree and weight in the derivatives of a given automorphic form are described and studied, supplementing the results of an earlier paper. It turns out that the problem is essentially one concerning symmetric functions rather than automorphic forms.

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