Diophantine m-tuples

Lectures Schedule:

• 12.06.2025 Thursday, 15:00 - 17:00(UCC), 16:00 - 18:00 (Zagreb), 17:00 - 19:00 (Koc U. - U. Oulu)
  • Introduction to Diophantine m-tuples (pdf)
  • Introduction to Diophantine m-tuples (slides)
  • Assignment 1 (page 8)
  • Assignment 1 Submission Form
• 18.06.2025 Wednesday, 15:00 - 17:00(UCC), 16:00 - 18:00 (Zagreb), 17:00 - 19:00 (Koc U. - U. Oulu)
  • Simple continued fractions. Pell's equation (pages 9-20) (pdf)
  • Simple continued fractions. Pell's equation (slides)
  • Assignment 2 (page 21)
  • Assignment 2 Submission Form
• 24.06.2025. Tuesday, 15:00 – 17:00 (Koc U.)
  • Extension of a Diophantine pair to a triple (pdf)
  • Assignment 3
  • Assignment 3 Submission Form
• 26.06.2025. Thursday, 11:00 – 13:00 (Koc U.)
  • Extension of a Diophantine triple to a quadruple I (pdf)
• 27.06.2025. Friday, 9:00 – 11:00 (Koc U.)
  • Extension of a Diophantine triple to a quadruple II (pdf)
  • Assignment 4
  • Assignment 4 Submission Form
• 28.06.2025. Saturday, 11:00 – 13:00 (Koc U.)
  • m-tuples with property D(n) (pdf)

Recommended reading:

• A. Dujella, Diophantine m-tuples page
• A. Dujella, Number Theory, Školska knjiga, 2021.
• A. Dujella, Diophantine m-tuples and Elliptic Curves, Springer, Cham, 2024.
• T. Nagell, Introduction to Number Theory, AMS, 1964.