Iglesias Pereira, H.

lemma proof function nx =jtj f tx +f cos x dx t 0 0 convergence rate theorem j log xj f anx =jtj distribution convergence anx =jtj n 0 0 limt !1 condition t t 0 n n 0 nx +f cos 2 log x t k t result order 3.1 0 0 isgnt log g t r 1 1 1 2 pereira remark 1996. 2.4 2.1 2.2 sequence peng 1996 non-lattice distribution function 0 0. n n 1 lemma 4.1 lemma 4.2 theorem 1 l 2 t stadtmuller 1996 4.2 limit index relation 0tx atx potter bounds lemma 4.7. t =at oliveira 4.1 4.7 edicoes salamandra theorem 2.1. theorem 3.1. bn xg lemma 4.4 iglesias pereira di erent stadtmuller 1 1 limit function london math section condition 1.3 remark 2.2 peng 1997 theorem 2.1 drees 1995. theorem 2 isgnt 2p variation sin 2 2 z 1 0