Lecturer: | Giorgos Kapetanakis (gnkapet@gmail.com) |
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Schedule: | Wednesday and Friday 15.00-17.00 (Α214) |

Office Hours: | Wednesday and Friday 14.00-15.00 (Γ212) |

Grading: | Final Exam. |

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

- After the first lecture (05/02) a jacket and an umbrella were forgotten in the classroom.
~~I am safekeeping them in my office~~You may retrieve them from Mrs. Skoula. - The first set is online. Approximately every two weeks a new set will be uploaded along with an answer/hint sheet for the previous one, for your reference. However, you are strongly advised to also look at other sources (like the suggested textbooks and notes above) for more exercises: in Number Theory, practice is of the essence!

- 1
^{st}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])
- 2
^{nd}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])