# Nonlinear diophantine equations

### Basic Information

M112 (2+1+0) - 5 ECTS creditsOur intention is to introduce students with other interesting properties of integers such as their representation in the form of squares, cubes and other powers of two or more integers. Students will extend their knowledge of Pellian equations. Moreover, there will be considered other non-standard types of nonlinear diophantine equations. It will be presented criteria of existence of their integral solutions. During the lectures, everything will be confirmed by appropriate examples and exercises.

You can access the course content at the following link: PDF### Teachers

### Basic literature

- R. Mollin, Fundamental number theory and applications, Chapmann and Hall, Boca Raton, 2008.
- W. Sierpinski, Elementary theory of numbers, North-Holland, Amsterdam, 1988.

### Additional literature

- A. Adler, J. E. Coury, The theory of numbers; A text and the source book of problems, Jones and Bartlett Publishers, Boston, 1995.
- G. H. Hardy, E. M. Wright, An introduction to the theory of numbers, Oxford university press, London, 1975.
- L. J. Mordell, Diophantine equations, Academic press, London, 1969.
- T. Nagell, Introduction to number theory, John Wiley and sons, New York, 1950.
- K. H. Rosen, Elementary number theory and its applications, Addison-Wesley, Massachusetts, 1984.

### Teaching materials

The materials are available on the internal Teams channel of the course, through which all internal communication takes place. Students are required to register on the course’s Teams channel. The channel code for joining the course can be found in the schedule.