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Polynomial ring
Known as:
Ring of polynomials
, Integral polynomial
, Free commutative ring
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In mathematics, especially in the field of abstract algebra, a polynomial ring or polynomial algebra is a ring (which is also a commutative algebra…
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Related topics
Related topics
43 relations
AKS primality test
Additive polynomial
Butcher group
Canonical commutation relation
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Papers overview
Semantic Scholar uses AI to extract papers important to this topic.
2012
2012
A Note on the Generalized q-Euler Numbers and Polynomials with Weak Weight α
C. Ryoo
2012
Corpus ID: 1205222
In this paper we introduce the generalized q-Euler numbers E (α) n,χ,q and polynomials E (α) n,χ,q(x) with weak weight…
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2011
2011
Rodrigues's Formulas for Orthogonal Matrix Polynomials Satisfying Higher-Order Differential Equations
Antonio J. Durán Guardeño
Experimental Mathematics
2011
Corpus ID: 31475322
Highly Cited
2009
Highly Cited
2009
Ba2AlSi5N9—A New Host Lattice for Eu2+-Doped Luminescent Materials Comprising a Nitridoalumosilicate Framework with Corner- and Edge-Sharing Tetrahedra
Juliane A. Kechele
,
C. Hecht
,
O. Oeckler
,
J. S. A. D. Günne
,
P. Schmidt
,
W. Schnick
2009
Corpus ID: 15972470
Ba2AlSi5N9 was synthesized starting from Si3N4, AlN, and Ba in a radio-frequency furnace at temperatures of about 1725 °C. The…
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2008
2008
Particular Solutions of Chebyshev Polynomials for Polyharmonic and Poly-Helmholtz Equations
Chia-Cheng Tsai
2008
Corpus ID: 73522515
In this paper we develop analytical particular solutions for the polyharmonic and the products of Helmholtz-type partial…
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1999
1999
Determinantal Expression and Recursion for Jack Polynomials
L. Lapointe
,
A. Lascoux
,
J. Morse
Electronic Journal of Combinatorics
1999
Corpus ID: 8557399
We describe matrices whose determinants are the Jack polynomials expanded in terms of the monomial basis. The top row of such a…
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1998
1998
Polynomial methods for component matching and verification
James Smith
,
G. Micheli
IEEE/ACM International Conference on Computer…
1998
Corpus ID: 9562882
Component reuse requires designers to determine whether or not an existing component implements desired functionality. If a…
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Highly Cited
1997
Highly Cited
1997
Using Cyclotomic Polynomials to Construct Efficient Discrete Logarithm Cryptosystems Over Finite Fields
A. Lenstra
Australasian Conference on Information Security…
1997
Corpus ID: 39393535
We show how to use cyclotomic polynomials to construct subgroups of multiplicative groups of finite fields that allow very…
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1987
1987
Lectures on Artinian rings
A. Kertész
,
R. Wiegandt
1987
Corpus ID: 117839972
Review
1981
Review
1981
Use of VLSI in algebraic computation: Some suggestions
H. T. Kung
Symposium on Symbolic and Algebraic Manipulation
1981
Corpus ID: 7580873
This paper reviews issues in the design of special-purpose VLSI chips in general, and suggests VLSI designs for polynomial…
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Highly Cited
1977
Highly Cited
1977
Homoatomic Rings, Chains and Macromolecules of Main-Group Elements;
ed. Rheingold
,
L. Arnold
1977
Corpus ID: 92968253