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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

Informatique

Auteur(s)

Hector Pasten

Licence

DOI

10.14760/SNAP-2019-003-EN

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snapshots-2019-003.pdf

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      Sujet mathématique

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

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