NSCPHD1024 Transcendental numbers
MSc Programme in Mathematics
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The aim of this course is to discover some techniques for
proving that a number is transcendental. The course will start from
simple and very classical examples (Pi, e, Zeta(2), etc) and will move
on to more recent results, including theorems of Gelfond, Schneider,
Lang, Mahler, Beukers, Rivoal.
Knowledge: The student should be familiar with the main results
topics of the course.
Skills: At the end of the course the student is expected to be able to follow
and reproduce arguments at a high, abstract level corresponding to the
contents of the course.
Competences: The student should be able to apply the theory to solve
problems of moderate difficulty within the topics of the course. In
particular decide whether a number is transcendental or not using a
combination of different results from the course.
Please register at: fpakuki @math.ku.dk
- 7,5 ECTS
- Type of assessment
- Written examination, 2 hours under invigilationContinuous assessmentTwo assignments counts each 10% and a final written exam counts the remaining 80% of the grade
- All aids allowed
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
One internal examiner.
Resubmission of failed assignments and an oral exam with several internal examiners. The failed assignments must be re-submitted at the latest two weeks before the beginning of the re-exam week.
Criteria for exam assesment
The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome of the course.