Expanders and explicit constructions (Chapter 6)

1996 ◽  
pp. 91-112
Keyword(s):  
Explicit Constructions

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.

Explicit Constructions of Automorphic L-Functions

1987 ◽  
Author(s):  
Stephen Gelbart ◽  
Ilya Piatetski-Shapiro ◽  
Stephen Rallis
Keyword(s):  
Explicit Constructions
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