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Fifteen problems in number theory. (English) Zbl 1201.11012

The author presents problems in number theory dealing with perfect powers in linear recursive sequences, solutions of parametrized families of Thue equations, patterns in the set of solutions of norm form equations and generalized radix representations.

MSC:

11A63 Radix representation; digital problems
11B25 Arithmetic progressions
11B37 Recurrences
11C08 Polynomials in number theory
11D57 Multiplicative and norm form equations
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