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Some Classical Diophantine Equations

Titu Andreescu, Dorin Andrica, Ion Cucurezeanu

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Abstract

An equation of the form 2.1.1 $$a_1x_1 + \cdots + a_n x_n = c,$$ where a1, a2, …, a n , b are fixed integers, is called a linear Diophantine equation. We assume that n ≥ 1 and that coefficients a1, …, a n are all different from zero.

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An equation of the form 2.1.1 $$a_1x_1 + \cdots + a_n x_n = c,$$ where a1, a2, …, a n , b are fixed integers, is called a linear Diophantine equation. We assume that n ≥ 1 and that coefficients a1, …, a n are all different from zero.

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Available abstract

An equation of the form 2.1.1 $$a_1x_1 + \cdots + a_n x_n = c,$$ where a1, a2, …, a n , b are fixed integers, is called a linear Diophantine equation. We assume that n ≥ 1 and that coefficients a1, …, a n are all different from zero.

Key concepts: Diophantine equation, Mathematics, Pure mathematics

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