On the length of continued fractions for values of quotients of power sums
Abstract
Generalizing a result of Pourchet, we prove that, if α,β are power sums satisfying suitable conditions, the length of the continued fraction of the ratio α(n)/β(n) tends to infinity with n.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.