%0 Journal Article %T 一个代数无关的无穷数集 %A 朱尧辰 %J 科学通报 %D 1982 %I %X 确定一组数的代数无关性是超越数论的重要课题.本文目的是证明下列定理设a_N(n=1,2,…)是自然数无限数列,适合a_N 1/a_n→∞(n→∞). (1)又设缺项级数f_k(z)=sum from n=1 to ∞C_(k,n)z~kn (k=1,2,3,…)的收敛半径都是1,系数C_(k,n)是正有理 %U http://www.alljournals.cn/get_abstract_url.aspx?pcid=01BA20E8BA813E1908F3698710BBFEFEE816345F465FEBA5&cid=7C7E63796F062382A606A3A9833B8C05&jid=B40D4BA57FF46E45205A09B4DC283152&aid=CB1E4834692C77A9B940804EA5837D63&yid=3F3D540C9B7906DE&vid=DB817633AA4F79B9&iid=0B39A22176CE99FB&sid=8BD23BD67BF01A5C&eid=8BD23BD67BF01A5C&journal_id=0023-074X&journal_name=科学通报&referenced_num=0&reference_num=0