Irrationality exponents of generalized Hone series

Authors:
  • DDDaniel Duverney
    Daniel Duverney
  • TKTakeshi Kurosawa
    Takeshi Kurosawa
  • ISIekata Shiokawa
    Iekata Shiokawa

Abstract
We compute the exact irrationality exponents of certain series of rational numbers, first studied in a special case by Hone, by transforming them into suitable continued fractions.