Thesis etd-06162024-111540 |
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Thesis type
Tesi di laurea magistrale
Author
BOSCARDIN, SEBASTIANO
URN
etd-06162024-111540
Thesis title
Some diophantine equations with two S-units and one S-integer unknown
Department
MATEMATICA
Course of study
MATEMATICA
Supervisors
relatore Zannier, Umberto
Keywords
- diophantine approximation
- powers with few nonzero digits
- subspace theorem
Graduation session start date
12/07/2024
Availability
Full
Summary
We study the diophantine equation f(a^m,y)=b^n where m,n,y are integers. We want to understand when it has only finitely many solutions. The main technical tool used is the subspace theorem. We also extend the results to the case of number fields and S-units in place of the powers.
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| Nome file | Dimensione |
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| tesi_boscardin.pdf | 573.27 Kb |
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