Leader: Prof. Dr. Kálmán Győry, professor emeritus, member of the Hungarian Academy of Sciences
Finiteness theorems for Diophantine equations. Applications of the Thue-Siegel-Schmidt method, including decomposable form equations, unit equations. Quantitative results, bounds for the number of solutions. Extensions and improvements of some known effective results, combining Baker's method with some other techniques. Numerical resolution of Diophantine equations. Development, analysis and implementation of algorithms for numerical resolution of equations. Recurrence sequences. Investigation of Diophantine and arithmetical properties of linear recurrence sequences.
Last update:
2023. 03. 26. 20:01