摘要
Let v(t) > 0 be a concave function such that f(1)(+infinity) 1/tv(t) dt - +infinity. If the continued fraction expansion of an irrational number 0 < theta < 1 has the coefficient a(k) which satisfies l log(2) a(k) <= kv(k), k = 1, 2,..., the Julia set of e(2 pi i theta)z + z(2) is locally connected and has Lebesgue measure zero. It extends the results of Petersen and Zakeri [10].
- 出版日期2018
- 单位北京理工大学