Diophantine equations and why they are hard

Instantanés de recherche mathématique à 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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Sujet mathématique

Algèbre et théorie des nombres

Liens avec d'autres domaines



Hector Pasten




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snapshots: overview

Sujet mathématique

Algèbre et théorie des nombres
Pédagogie et éducation
Mathématiques discrètes et fondements des mathématiques
Géométrie et Topologie
Calcul numérique et calcul scientifique
Théorie des probabilités et statistique

Liens avec d'autres domaines

Chimie et sciences de la terre
Ingénierie et technologie
Humanités et sciences sociales
Sciences de la vie
Pensées mathématiques

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