Results 21 to 30 of about 10,381,547 (314)

Counting algebraic numbers in short intervals with rational points

open access: yesЖурнал Белорусского государственного университета: Математика, информатика, 2019
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]

open access: yesRendiconti del Circolo Matematico di Palermo, 1914
n ...
Bauer, G. N., Slobin, H. L.
openaire   +3 more sources

On the number of generators of an algebra [PDF]

open access: yesComptes Rendus. Mathématique, 2016
5 ...
Zinovy Reichstein, Uriya A. First
openaire   +2 more sources

Developing Number Sense: An Approach to Initiate Algebraic Thinking in Primary Education

open access: yesMathematics, 2021
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
doaj   +1 more source

A precise result on the arithmetic of non-principal orders in algebraic number fields [PDF]

open access: yes, 2011
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

open access: yesMathematics, 2020
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
doaj   +1 more source

On the Prym variety of genus 3 covers of genus 1 curves [PDF]

open access: yesÉpijournal de Géométrie Algébrique, 2018
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
doaj   +1 more source

Approximation of complex algebraic numbers by algebraic numbers of bounded degree [PDF]

open access: yesANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE, 2009
34 ...
Yann Bugeaud, Jan-Hendrik Evertse
openaire   +3 more sources

Necessary and sufficient conditions for the existence of invariant algebraic curves

open access: yesElectronic Journal of Qualitative Theory of Differential Equations, 2021
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]

open access: yesAlgebra universalis, 2011
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
openaire   +2 more sources

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