Mathematics: Number Theory

Education facts

Code: MATC35

<p>The course gives an introduction to classic number theory of importance for further studies in number theory as well as in other areas such as encryption systems.</p><p>The course treats multiplicative number theoretic functions, Möbius inversion formula, properties of Euler's totient function, primitive roots and indices, quadratic residues, the Legendre symbol and its properties, the quadratic reciprocity theorem, representations of integers as sums of squares, number theoretic properties of the Fibonacci sequence, continued fractions, Diophantine approximation.</p>

Entry requirements

For admission to the course, English 6 is required as well as at least 60 credits in mathematics.

Education offerings

Each offering has its own dates and conditions. Closed offerings are retained as history and do not mean that a new application is open.

• Mathematics: Number Theory

  Lund University

  Start date: 2 November 2026

  End date: 17 January 2027

  Pace of study: 50 %