Vipul: Created page with "==Definition== ===In one variable=== The term '''polynomial Diophantine equation''' is used for a Diophantine equation of the form: $\! a_nx^n + a_{n-1}x^{n-1} + \..."$

2012-01-16T04:34:14Z

Created page with "==Definition== ===In one variable=== The term '''polynomial Diophantine equation''' is used for a Diophantine equation of the form: <math>\! a_nx^n + a_{n-1}x^{n-1} + \..."

New page

==Definition==

===In one variable===

The term '''polynomial Diophantine equation''' is used for a [[Diophantine equation]] of the form:

<math>\! a_nx^n + a_{n-1}x^{n-1} + \dots + a_1x + a_0 = 0</math>

where all the coefficients are in the [[ring of integers]] <math>\mathbb{Z}</math>, and we are interested in solving for <math>x \in \mathbb{Z}</math>.

===In multiple variables===

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Polynomial Diophantine equation - Revision history

Vipul: Created page with "==Definition== ===In one variable=== The term '''polynomial Diophantine equation''' is used for a Diophantine equation of the form: \! a_nx^n + a_{n-1}x^{n-1} + \..."

Vipul: Created page with "==Definition== ===In one variable=== The term '''polynomial Diophantine equation''' is used for a Diophantine equation of the form: $\! a_nx^n + a_{n-1}x^{n-1} + \..."$