Number theory is a classical area of mathematics treating the properties of the integers. In later days, the area has come to be of great importance because of its applicability in cryptography. The course starts with the basic theory of the divisibility properties of integers and congruences. After this, number theoretic functions, primitive roots of primes, continued fractions, quadratic congruences, reciprocity, quadratic reciprocity and the distribution of primes is treated. Finally, the course treats some modern applications in cryptography, such as the RSA-method and encryption with elliptic curves.
The course requires courses in Mathematics, minimum 60 ECTS or least two years of university studies including 30 ECTS in mathematics or equivalent. Proficiency in English equivalent to the level required for basic eligibility for higher studies. Where the language of instruction is Swedish, applicants must prove proficiency in Swedish to the level required for basic eligibility for higher studies.
Selection
Guaranteed place
Applicants in some programs at Umeå University have guaranteed admission to this course. The number of places for a single course may therefore be limited.
Application code
UMU-58010
Application
Application deadline was
15 April 2024.
The application period is closed.
Application and tuition fees
As a citizen of a country outside the European Union (EU), the European Economic Area (EEA) or Switzerland, you are required to pay application and tuition fees for studies at Umeå University.
