Number Theory
| Title | ΘΕΩΡΙΑ ΑΡΙΘΜΩΝ / Number Theory |
| Code | 0136 |
| Faculty | Sciences |
| School | Mathematics |
| Cycle / Level | 1st / Undergraduate |
| Teaching Period | Spring |
| Common | No |
| Status | Active |
| Course ID | 40002474 |
Programme of Study: Merikīs Foítīsīs (2014-sīmera)
Registered students: 7
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| KORMOS | Elective Courses belonging to the selected specialization | Spring | - | 5.5 |
Programme of Study: UPS of School of Mathematics (2014-today)
Registered students: 242
| Orientation | Attendance Type | Semester | Year | ECTS |
|---|---|---|---|---|
| Core | Elective Courses belonging to the selected specialization | 6 | 3 | 5.5 |
| Academic Year | 2025 – 2026 |
| Class Period | Spring |
| Instructors from Other Categories |
|
| Weekly Hours | 3 |
| Total Hours | 39 |
| Class ID | 600276390
|
Course Type 2016-2020
- Scientific Area
Course Type 2011-2015
Specific Foundation / Core
Mode of Delivery
- Face to face
Digital Course Content
- e-Study Guide https://qa.auth.gr/en/class/1/600276390
Erasmus
The course is also offered to exchange programme students.
Language of Instruction
- Greek (Instruction, Examination)
- English (Examination)
Learning Outcomes
With the successful fulfilled of the course the students get self-activation and increase their ability to solve complicate unknown problems.
General Competences
- Apply knowledge in practice
- Retrieve, analyse and synthesise data and information, with the use of necessary technologies
- Adapt to new situations
- Make decisions
- Work autonomously
- Generate new research ideas
- Respect natural environment
- Demonstrate social, professional and ethical commitment and sensitivity to gender issues
- Be critical and self-critical
- Advance free, creative and causative thinking
Course Content (Syllabus)
Arithmetic Functions, Primary Decomposition, Polynomial Congruences, Primitive Roots, Quadratic Residues, Continuous Fractions, Diophantine Equations.
Keywords
Arithmetic Functions, Primary Decomposition, Polynomial Congruences, Primitive Roots, Quadratic Residues, Continuous Fractions, Diophantine Equations.
Educational Material Types
- Notes
- Book
Use of Information and Communication Technologies
Use of ICT
- Use of ICT in Communication with Students
Description
Arithmetic Functions, Distribution of Prime Numbers, Polynomial Congruences, Primitive Roots, Quadratic Residues, Continued Fractions, Diophantine Equations
Course Organization
| Activities | Workload | ECTS | Individual | Teamwork | Erasmus |
|---|---|---|---|---|---|
| Lectures | 39 | ✓ | |||
| Reading Assigment | 126 | ✓ | |||
| Total | 165 |
Student Assessment
Description
Written exams
Student Assessment methods
- Written Exam with Multiple Choice Questions (Formative, Summative)
- Written Exam with Short Answer Questions (Formative, Summative)
- Written Exam with Extended Answer Questions (Formative, Summative)
- Written Exam with Problem Solving (Formative, Summative)
Bibliography
Course Bibliography (Eudoxus)
1. Θεωρία αριθμών, Δ.Μ. Πουλάκης, ISBN: 960-431-429-7, ΖΗΤΗ, 1997
2. Μία Εισαγωγή στη Θεωρία Αριθμών, Δ. Δεριζιώτης, ISBN: 978-960-6706-44-8, ΣΟΦΙΑ, 2012
3. Θεωρία αριθμών, Π. Τσαγκάρης, ISBN: 978-960-266-143-7, ΑΘΑΝΑΣΟΠΟΥΛΟΣ, 2010
4. Θεωρία Αριθμών και Εφαρμογές, Ι.Αντωνιάδης, Α. Κοντογεώργης, ISBN: 978-618-82124-5-9, [ηλεκτρ. βιβλ.] Αθήνα:Σύνδεσμος Ελληνικών Ακαδημαϊκών Βιβλιοθηκών, ID Ευδόξου: 320067
5. Υπολογιστική Θεωρία Αριθμών, Δ. Πουλάκης, ISBN: 978-960-603-127-4, [ηλεκτρ. βιβλ.] Αθήνα:Σύνδεσμος Ελληνικών Ακαδημαϊκών Βιβλιοθηκών, ID Ευδόξου: 320067
6. - Επανάληψη στη Θεωρία Αριθμών, Π. Αλβανός, Δ. Πουλάκης [ηλεκτρ. βιβλ.],
Σύνδεσμος Ελληνικών Ακαδημαϊκών Βιβλιοθηκών, 2021, kallipos.gr
Additional bibliography for study
J. Fraleigh, Eισαγωγή στην Άλγεβρα, Πανεπιστημιακές Εκδόσεις Κρήτης
Last Update
15-10-2025
