| Abstract [eng] |
The dissertation focuses on polynomials with bounded coefficients, specifically Borwein polynomials, which are defined as having a non-zero constant term and all coefficients in {-1, 0, 1}. Chapter 1 introduces the central problems and provides an overview of related research and historical results. Chapter 2 examines two subsets of Borwein polynomials, focusing on their multiplicative properties and interrelations. The third chapter is dedicated to the problem of finding Borwein trinomials with special numbers as their roots. The dissertation concludes with a summary in Chapter 4. |
