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Course, academic year 2023/2024
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Characters in Number Theory - NMAG568
Title: Charaktery v teorii čísel
Guaranteed by: Department of Algebra (32-KA)
Faculty: Faculty of Mathematics and Physics
Actual: from 2018
Semester: summer
E-Credits: 3
Hours per week, examination: summer s.:2/0, Ex [HT]
Capacity: unlimited
Min. number of students: unlimited
4EU+: no
Virtual mobility / capacity: no
State of the course: not taught
Language: English, Czech
Teaching methods: full-time
Teaching methods: full-time
Guarantor: doc. Mgr. Pavel Příhoda, Ph.D.
Class: M Mgr. MSTR > Volitelné
Classification: Mathematics > Algebra
Incompatibility : NALG133
Is interchangeable with: NALG133
Annotation -
Last update: G_M (18.04.2014)
Gauss and Jacobi sums, cubic and biquadratic reciprocity, zeta function of projective hypersurface, Dedekind zeta function, polar density of a the set of primes, class number formula.
Literature - Czech
Last update: G_M (18.04.2014)

[1] K. Ireland, M. Rosen: A Classical Introduction to Modern Number Theory, Springer 1992

[2] D. Marcus: Number Fields, Springer 1977

Syllabus -
Last update: G_M (18.04.2014)

1. Gauss and Jacobi sums.

2. Cubic and biquadratic reciprocity.

3. Zeta function of projective hypersurface.

4. Dedekind zeta function, polar density of a the set of primes.

5. Class number formula.

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