| Let Rademacher function be Rnn(x)=sgnsin(2nπx).In this paper,we consider the following two kinds of Rademacher type series:∑n=1∞ anRn(x)and(?).When the real sequence {an}(n≥ 1)and {cp(n)}(n≥ 1)satisfy the following conditions respectively:Hl:an→0(n→∞),∑n=1∞|an|=∞H2:φ(n)>0,increases to+∞,∑n=1∞1/φ(n)=∞,(?)When a,b∈R,Wu Jun,Xi Lifeng and Liu Chuntai studied and determined the Hausdorff dimensions of the following level sets:In this paper,we study the Hausdorff dimension of the correlation set of the above two kinds of Rademacher type series when they diverge,and prove that under the conditions H1 and H2,when a,b E R,ab>0,the Hausdorff dimensions of the following sets are all 1:... |
