Results 41 to 50 of about 10,835,395 (273)
Infinite Dimensional Free Algebra and the Forms of the Master Field [PDF]
, 1999 We find an infinite dimensional free algebra which lives at large N in any SU(N)-invariant action or Hamiltonian theory of bosonic matrices. The natural basis of this algebra is a free-algebraic generalization of Chebyshev polynomials and the dual basis ...
C. SCHWARTZ +3 more
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Computation of relative integral bases for algebraic number fields
International Journal of Mathematics and Mathematical Sciences, 1988 At first we are given conditions for existence of relative integral bases for extension (K;k)=n. Then we will construct relative integral bases for extensions OK6(−36)/Ok2(−3), OK6(−36)/Ok3(−33), OK6(−36)/Z.
Mahmood Haghighi
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The $16$th Hilbert problem on algebraic limit cycles [PDF]
, 2014 For real planar polynomial differential systems there appeared a simple version of the $16$th Hilbert problem on algebraic limit cycles: {\it Is there an upper bound on the number of algebraic limit cycles of all polynomial vector fields of degree $m ...
Xiang, Zhang
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Computation of the Euclidean minimum of algebraic number fields
Mathematics of Computation, 2013 We present an algorithm to compute the Euclidean minimum of an algebraic number field, which is a generalization of the algorithm restricted to the totally real case described by Cerri.
Pierre Lezowski
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Distribution of algebraic numbers [PDF]
Journal für die reine und angewandte Mathematik (Crelles Journal), 2011 Schur studied limits of the arithmetic means $A_n$ of zeros for polynomials of degree $n$ with integer coefficients and simple zeros in the closed unit disk. If the leading coefficients are bounded, Schur proved that $\limsup_{n\to\infty} |A_n| \le 1-\sqrt{e}/2.$ We show that $A_n \to 0$, and estimate the rate of convergence by generalizing the Erd s ...
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Polynomials Generating Maximal Real Subfields of Circular Fields [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 We have constructed recurrence formulas for polynomials qn(x) ɕ Q[x], any root of which generates the maximal real subfield of circular field K2n. It has been shown that all real subfields of fixed field K2n can be described by using polynomial qn(x) and
I.G. Galyautdinov, E.E. Lavrentyeva
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On the algebraic unknotting number
Transactions of the London Mathematical Society, 2014 The algebraic unknotting number of a knot was introduced by Hitoshi Murakami. It equals the minimal number of crossing changes needed to turn into an Alexander polynomial one knot. In a previous paper, the authors used the Blanchfield form of a knot to define an invariant and proved that .
Maciej Borodzik, Stefan Friedl
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Lower bounds on the class number of algebraic function fields defined over any finite field [PDF]
, 2011 We give lower bounds on the number of effective divisors of degree $\leq g-1$ with respect to the number of places of certain degrees of an algebraic function field of genus $g$ defined over a finite field.
Ballet, Stéphane, Rolland, Robert
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Algorithms for matrix extension and orthogonal wavelet filter banks over algebraic number fields
Mathematics of Computation, 2012 . As a finite dimensional linear space over the rational number field Q , an algebraic number field is of particular importance and interest in mathematics and engineering.
B. Han, Xiaosheng Zhuang
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Q_l-cohomology projective planes and singular Enriques surfaces in characteristic two [PDF]
Épijournal de Géométrie Algébrique, 2019 We classify singular Enriques surfaces in characteristic two supporting a rank nine configuration of smooth rational curves. They come in one-dimensional families defined over the prime field, paralleling the situation in other characteristics, but ...
Matthias Schütt
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