Zobrazeno 1 - 2
of 2
pro vyhledávání: '"Andersen, Simon Bruno"'
We extend a result of Han\v{c}l, Kolouch and Nair on the irrationality and transcendence of continued fractions. We show that for a sequence $\{\alpha_n\}$ of algebraic integers of bounded degree, each attaining the maximum absolute value among their
Externí odkaz:
http://arxiv.org/abs/1902.04312
We obtain results bounding the degree of the series $\sum_{n=1}^{\infty} 1/\alpha_n$, where $\{\alpha_n\}$ is a sequence of algebraic integers satisfying certain algebraic conditions and growth conditions. Our results extend results of Erd\H{o}s, Han
Externí odkaz:
http://arxiv.org/abs/1807.04515