Results 31 to 40 of about 66 (54)

Computing all integer solutions of a genus 1 equation [PDF]

open access: yes
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.
core  

От алгебраических методов Диофанта - Ферма - Эйлера к арифметике алгебраических кривых: из истории диофантовых уравнений после Эйлера

open access: yes
Talking about the Diophantine analysis’ history, namely, the problem of rational solutions of Diophantine equations, we should note the longevity of the algebraic approach, which goes back to Diophantus’ “Arithmetica”.
Беляев А.А.   +1 more
core   +1 more source

Indices dans les corps de nombres et leurs applications

open access: yes, 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
core  

"Rotterdam econometrics": publications of the econometric institute 1956-2005 [PDF]

open access: yes
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
core  

Complete solution of parametrized Thue equations [PDF]

open access: yes, 1998
Heuberger, C., Tichy, R. F., Pethő, A.
core   +1 more source
Some of the next articles are maybe not open access.

Straddled optical solitons for cubic–quartic Lakshmanan–Porsezian–Daniel model by Lie symmetry

Physics Letters, Section A: General, Atomic and Solid State Physics, 2021
Qin Zhou   +2 more
exaly  

Quadratic diophantine equations with applications to quartic equations

Rocky Mountain Journal of Mathematics, 2016
Ajai Choudhry
exaly  

Parametric Solutions of the Quartic Diophantine Equation $f(x,y)=f(u,v)$

Rocky Mountain Journal of Mathematics, 2005
Ajai Choudhry
exaly  

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