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

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

Diğer alanlarla ilişkiler

Kimya ve Yer Bilimler
Bilgisayar Bilimeri
Mühendislik ve Teknoloji
Finans
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Yaşam Bilimleri
Fizik
Matematik Üzerine Düşünceler

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