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Diophantine equations and why they are hard

Oberwolfach'tan

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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Matematiksel konular

Cebir ve Sayılar Kuramı

Diğer alanlarla ilişkiler

Bilgisayar Bilimeri

Yazar(lar)

Hector Pasten

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2019-003-EN

PDF indir

snapshots-2019-003.pdf

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      Matematiksel konular

      Cebir ve Sayılar Kuramı
      Analiz
      Eğitim ve Eğitim Bilimi
      Ayrık Matematik ve Matematiğin Temelleri
      Geometri ve Topoloji
      Nümerik ve Hesap Analizi
      Olasılık Kuramı ve İstatistik

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