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Diophantine equations and why they are hard

Instantáneas de la actualidad matemática desde Oberwolfach

Diophantine equations and why they are hard

Diophantine equations are polynomial equations whose solutions are required to be integer numbers. They have captured the attention of mathematicians during millennia and are at the center of much of contemporary research. Some Diophantine equations are easy, while some others are truly difficult. After some time spent with these equations, it might seem that no matter what powerful methods we learn or develop, there will always be a Diophantine equation immune to them, which requires a new trick, a better idea, or a refined technique. In this snapshot, we explain why.

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Área matemática

Álgebra y Teoría de números

Relaciones con otros campos

Informática

Autor(es)

Hector Pasten

Licencia

DOI (Identificador de objetos digitales)

10.14760/SNAP-2019-003-EN

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snapshots-2019-003.pdf

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snapshots: overview

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