Results 21 to 30 of about 10,381,547 (314)
Counting algebraic numbers in short intervals with rational points
In 2012 it was proved that real algebraic numbers follow a nonuniform but regular distribution, where the respective definitions go back to H. Weyl (1916) and A. Baker and W. Schmidt (1970).
Vasily I. Bernik+2 more
doaj +1 more source
Algebraic and transcendental numbers [PDF]
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Bauer, G. N., Slobin, H. L.
openaire +3 more sources
On the number of generators of an algebra [PDF]
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Zinovy Reichstein, Uriya A. First
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Developing Number Sense: An Approach to Initiate Algebraic Thinking in Primary Education
Traditionally, the teaching and learning of algebra has been addressed at the beginning of secondary education with a methodological approach that broke traumatically into a mathematical universe until now represented by numbers, with bad consequences ...
Natividad Adamuz-Povedano+3 more
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A precise result on the arithmetic of non-principal orders in algebraic number fields [PDF]
Let $R$ be an order in an algebraic number field. If $R$ is a principal order, then many explicit results on its arithmetic are available. Among others, $R$ is half-factorial if and only if the class group of $R$ has at most two elements.
Andreas Philipp
semanticscholar +1 more source
Some Properties of Extended Euler’s Function and Extended Dedekind’s Function
In this paper, we find some properties of Euler’s function and Dedekind’s function. We also generalize these results, from an algebraic point of view, for extended Euler’s function and extended Dedekind’s function, in algebraic number fields ...
Nicuşor Minculete, Diana Savin
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On the Prym variety of genus 3 covers of genus 1 curves [PDF]
Given a generic degree-2 cover of a genus 1 curve D by a non hyperelliptic genus 3 curve C over a field k of characteristic different from 2, we produce an explicit genus 2 curve X such that Jac(C) is isogenous to the product of Jac(D) and Jac(X).
Christophe Ritzenthaler+1 more
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Approximation of complex algebraic numbers by algebraic numbers of bounded degree [PDF]
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Yann Bugeaud, Jan-Hendrik Evertse
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Necessary and sufficient conditions for the existence of invariant algebraic curves
We present a set of conditions enabling a polynomial system of ordinary differential equations in the plane to have invariant algebraic curves. These conditions are necessary and sufficient. Our main tools include factorizations over the field of Puiseux
Maria Demina
doaj +1 more source
The number of monounary algebras [PDF]
In this note we give an asymptotic estimate for the number of finite non-isomorphic monounary algebras of a given size.
Horváth, Gábor+5 more
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