Results 21 to 30 of about 69 (56)
The Classification of Monogenic Quartic Orders via Diophantine Equations [PDF]
In this study, we will focus on classifying quartic monogenic orders based ontwo algebraic relations. First, we introduce index forms and study the connection between the solution set of particular index form equations and the monogenizations type of ...
Shumaker, Jaxon
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Thue equations and related topics
, 2008 Using a classical result of Thue, we give an upper bound for the number of solutions to a family of quartic Thue equations. We also give an upper bound upon the number of solutions to a family of quartic Thue inequalities.
Akhtari, Shabnam
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Approximation Constants for Closed Subschemes of Projective Varieties [PDF]
, 2019 Diophantine approximation is a branch of number theory with a long history, going back at least to the work of Dirichlet and Liouville in the 1840s. The innocent-looking question of how well an arbitrary real algebraic number can be approximated by ...
Rollick, Nickolas
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Perspectives on mathematics competitions and their relationship with mathematics education. [PDF]
ZDM, 2022 de Losada MF, Taylor PJ.
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his article introduces a novel generalized scaling approximation method for efficiently finding rational approximations to cubic and quartic Diophantine equations. While Diophantine equations have fascinated mathematicians due to their simple forms yet extremely challenging integer solutions, finding exact solutions remains computationally infeasible ...
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Computing all integer solutions of a genus 1 equation [PDF]
The Elliptic Logarithm Method has been applied with great successto the problem of computing all integer solutions of equations ofdegree 3 and 4 defining elliptic curves. We extend this methodto include any equation f(u,v)=0 that defines a curve of genus
Stroeker, R.J., Tzanakis, N.
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Indices dans les corps de nombres et leurs applications
, 2018 Dans la première partie de cette thèse, on considère les extensions cycliques simples Km/Q de degré 4. Ces dernières sont les extensions quartiques définies par les polynômes irréductibles x⁴-mx³-6x²+mx+1, où m est un entier tel que la partie impaire ...
Seddik, Mohammed
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"Rotterdam econometrics": publications of the econometric institute 1956-2005 [PDF]
This paper contains a list of all publications over the period 1956-2005, as reported in the Rotterdam Econometric Institute Reprint series during 1957-2005.
Wagelmans, A.P.M. +2 more
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HERON QUADRILATERALS VIA ELLIPTIC CURVES. [PDF]
Rocky Mt J Math, 2017 Izadi F, Khoshnam F, Moody D.
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ON THE USE OF ABSTRACT ALGEBRA AS A METHOD FOR OBTAINING RESULTS INVOLVING RATIONAL INTEGERS ONLY AND THE REVERSE OF THIS PROCEDURE. [PDF]
Proc Natl Acad Sci U S A, 1960 Vandiver HS.
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