scholarly journals Computing and using minimal polynomials

2020 ◽  
Vol 100 ◽  
pp. 137-163 ◽  
Author(s):  
John Abbott ◽  
Anna Maria Bigatti ◽  
Elisa Palezzato ◽  
Lorenzo Robbiano
Keyword(s):  
Minimal Polynomials

scholarly journals Minimal polynomials of additive commutators and Jordan products

1972 ◽  
Vol 22 (1) ◽  
pp. 12-33 ◽  
Author(s):  
Marvin Marcus ◽  
M.Shafqat Ali
Keyword(s):  
Minimal Polynomials ◽  
Jordan Products

Some Properties of the Minimal Polynomials of 2cos(π∕q) for odd q

2011 ◽  
Author(s):  
Birsen Ozgur ◽  
Musa Demirci ◽  
Aysun Yurttas ◽  
I. Naci Cangul ◽  
Theodore E. Simos ◽  
...  
Keyword(s):  
Minimal Polynomials

scholarly journals Characteristic and Minimal Polynomials of Linear Cellular Automata

2006 ◽  
Vol 36 (3) ◽  
pp. 1077-1092 ◽  
Author(s):  
Diana M. Thomas ◽  
John G. Stevens ◽  
Steven Lettieri
Keyword(s):  
Cellular Automata ◽  
Minimal Polynomials

Minimal polynomials of algebraic numbers with rational parameters

2011 ◽  
Vol 148 (3) ◽  
pp. 281-308
Author(s):  
Karl Dilcher ◽  
Rob Noble ◽  
Chris Smyth
Keyword(s):  
Algebraic Numbers ◽  
Minimal Polynomials

Computing Polynomials of the Ramanujan tn Class Invariants

2009 ◽  
Vol 52 (4) ◽  
pp. 583-597 ◽  
Author(s):  
Elisavet Konstantinou ◽  
Aristides Kontogeorgis
Keyword(s):  
Quadratic Field ◽  
Imaginary Quadratic Field ◽  
Class Field ◽  
Minimal Polynomials ◽  
Hilbert Polynomials ◽  
Reciprocity Law ◽  
Class Invariants ◽  
Hilbert Class Field

AbstractWe compute the minimal polynomials of the Ramanujan values tn, where n ≡ 11 mod 24, using the Shimura reciprocity law. These polynomials can be used for defining the Hilbert class field of the imaginary quadratic field and have much smaller coefficients than the Hilbert polynomials.

scholarly journals Recurrent formulas for explicitly finding some minimal polynomials

2019 ◽  
Vol 1158 ◽  
pp. 022042
Author(s):  
I G Galyautdinov ◽  
E E Lavrentyeva
Keyword(s):  
Minimal Polynomials
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