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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.
2009
2009
Definite Matrix Polynomials and their Linearization by Definite Pencils
N. J. Higham
,
D. Mackey
,
F. Tisseur
,
Mims EPrint
SIAM Journal on Matrix Analysis and Applications
2009
Corpus ID: 9097755
Hyperbolic matrix polynomials are an important class of Hermitian matrix polynomials that contain overdamped quadratics as a…
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2009
2009
SOME FORMULAS FOR APOSTOL-EULER POLYNOMIALS ASSOCIATED WITH HURWITZ ZETA FUNCTION AT RATIONAL ARGUMENTS
Qiu-Ming Luo
2009
Corpus ID: 41047366
We give some explicit relationships between the Apostol-Euler polynomials and generalized Hurwitz-Lerch Zeta function and obtain…
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2008
2008
Cluster Multiplication in Regular Components via Generalized Chebyshev Polynomials
G. Dupont
Algebras and Representation Theory
2008
Corpus ID: 115167657
We introduce a multivariate generalization of normalized Chebyshev polynomials of the second kind. We prove that these…
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Review
2006
Review
2006
Factors influencing ring closure through olefin metathesis – A perspective
Subrata K. Ghosh
,
Sarita Ghosh
,
N. Sarkar
2006
Corpus ID: 56092818
Success of ring closure reactions of substrates having two terminal alkenes through olefin metathesis depends on a number of…
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Highly Cited
2003
Highly Cited
2003
A Traceable Block Cipher
O. Billet
,
H. Gilbert
International Conference on the Theory and…
2003
Corpus ID: 14900254
In this paper we propose a new symmetric block cipher with the following paradoxical traceability properties: it is…
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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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1996
1996
A Note on Bernoulli Numbers and Shintani Generalized Bernoulli Polynomials
M. Eie
1996
Corpus ID: 41747025
Generalized Bernoulli polynomials were introduced by Shintani in 1976 in order to express the special values at non-positive…
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1991
1991
Iterative Construction of Sparse Polynomial Approximations
T. Sanger
,
R. Sutton
,
C. Matheus
Neural Information Processing Systems
1991
Corpus ID: 17758235
We present an iterative algorithm for nonlinear regression based on construction of sparse polynomials. Polynomials are built…
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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
Highly Cited
1963
Highly Cited
1963
The alpak system for nonnumerical algebra on a digital computer
W. S. Brown
,
J. Hyde
,
B. A. Tague
1963
Corpus ID: 119899349
This is the first of two papers on the ALPAK system for nonnumerical algebra on a digital computer. This paper is concerned with…
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