Number Theory (MEM204) - Spring Semester 2019-20

Department of Mathematics and Applied Mathematics - University of Crete

Pierre de Fermat

Basic Information

Lecturer:Giorgos Kapetanakis (gnkapet@gmail.com)
Schedule:Wednesday and Friday 15.00-17.00 (Α214)
Office Hours:Wednesday and Friday 14.00-15.00 (Γ212)
Grading:Final Exam.

Bibliography

  1. Ι. Αντωνιάδης και Α. Κοντογεώργης, Θεωρία αριθμών και εφαρμογές. Εκδόσεις Κάλλιπος, 2015.
  2. Μ. Παπαδημητράκης, Θεωρία Αριθμών: Πρόχειρες Σημειώσεις.
  3. Ν. Τζανάκης, Θεμελιώδης Θεωρία Αριθμών.
  4. Δ. Πουλάκης, Θεωρία αριθμών, εκδόσεις Ζήτη, 1997.
  5. T. Apostol, Εισαγωγή στην αναλυτική θεωρία των αριθμών, Gutenberg, 2005. (μετάφραση Α. Ζαχαρίου και Ε. Ζαχαρίου)
  6. K. Rosen, Elementary Number Theory and Its Applications [6th edition], Pearson, 2011.

Announcements

Exams

Exercises

Calendar

1st week (03/02-07/02):
Divisibility, Euclidean division, greatest common divisor, Euclidean algorithm, least common multiple, prime numbers (definition, basic properties, Euclid's theorem), the fundamental theorem of arithmetic. (Paragraphs 2.1-2.7 of [4])
2nd week (10/02-14/02):
We applied the fundamental theorem of arithmetic on divisibility, the greatest common divisor and the least common multiple. We defined arithmetic functions and the Dirichlet product and saw some of its basic properties. We saw some relevant examples and exercises. (Paragraphs 2.8 and 3.1 of [4])