Results 1 to 10 of about 1,412,537 (346)
A tripling on the algebraic number field [PDF]
Osaka Journal of Mathematics, 1986 AKAGAWA, YASUMASA
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Isomorphisms of algebraic number fields [PDF]
Journal de Théorie des Nombres de Bordeaux, 2012 Let $\mathbb{Q}( )$ and $\mathbb{Q}( )$ be algebraic number fields. We describe a new method to find (if they exist) all isomorphisms, $\mathbb{Q}( ) \rightarrow \mathbb{Q}( )$. The algorithm is particularly efficient if the number of isomorphisms is one.
Mark van Hoeij, Vivek Pal
openaire +3 more sources
Arithmetic of Calabi-Yau Varieties and Rational Conformal Field Theory [PDF]
, 2001 It is proposed that certain techniques from arithmetic algebraic geometry provide a framework which is useful to formulate a direct and intrinsic link between the geometry of Calabi-Yau manifolds and the underlying conformal field theory. Specifically it
Candelas +16 more
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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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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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Algebraic number theory and code design for Rayleigh fading channels [PDF]
, 2004 Algebraic number theory is having an increasing impact in code design for many different coding applications, such as single antenna fading channels and more recently, MIMO systems.
Oggier, F., Viterbo, E.
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Nontrivial Galois module structure of cyclotomic fields [PDF]
, 2002 We say a tame Galois field extension $L/K$ with Galois group $G$ has trivial Galois module structure if the rings of integers have the property that $\Cal{O}_{L}$ is a free $\Cal{O}_{K}[G]$-module.
Conrad, Marc, Replogle, Daniel R.
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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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Algorithms in algebraic number theory [PDF]
, 1992 In this paper we discuss the basic problems of algorithmic algebraic number theory. The emphasis is on aspects that are of interest from a purely mathematical point of view, and practical issues are largely disregarded. We describe what has been done and,
Lenstra Jr., Hendrik W.
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On a theorem of Ax and Katz [PDF]
, 2015 The well-known theorem of Ax and Katz gives a p-divisibility bound for the number of rational points on an algebraic variety V over a finite field of characteristic p in terms of the degree and number of variables of defining polynomials of V.
Zhu, Hui June
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