Even perfect numbers in generalized Pell sequences
Sign Up to like & getrecommendations! Published in 2020 at "Lithuanian Mathematical Journal"
DOI: 10.1007/s10986-020-09505-6
Abstract: In this paper, by using linear forms in logarithms and the Baker–Davenport reduction procedure we prove that there are no even perfect numbers appearing in generalized Pell sequences. We also deduce some interesting results involving… read more here.
Keywords: numbers generalized; pell sequences; generalized pell; even perfect ... See more keywords
Fibonacci numbers in generalized Pell sequences
Sign Up to like & getrecommendations! Published in 2020 at "Mathematica Slovaca"
DOI: 10.1515/ms-2017-0413
Abstract: Abstract In this paper, by using lower bounds for linear forms in logarithms of algebraic numbers and the theory of continued fractions, we find all Fibonacci numbers that appear in generalized Pell sequences. Some interesting… read more here.
Keywords: numbers generalized; pell sequences; fibonacci numbers; generalized pell ... See more keywords