Pethö, Attila Fifteen problems in number theory. (English) Zbl 1201.11012 Acta Univ. Sapientiae, Math. 2, No. 1, 72-83 (2010). 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. Reviewer: Florin Nicolae (Berlin) Cited in 2 Documents MSC: 11A63 Radix representation; digital problems 11B25 Arithmetic progressions 11B37 Recurrences 11C08 Polynomials in number theory 11D57 Multiplicative and norm form equations Keywords:linear recursive sequences; Thue equations; norm form equations; radix representations PDFBibTeX XMLCite \textit{A. Pethö}, Acta Univ. Sapientiae, Math. 2, No. 1, 72--83 (2010; Zbl 1201.11012) Full Text: EuDML Online Encyclopedia of Integer Sequences: Square tribonacci numbers. a(n) is the smallest tribonacci number (A000073) with exactly n divisors, or -1 if no such number exists.