Geodesic
A lower bound in the law of the iterated logarithm for general lacunary series
Charles N. Moore1 ; Xiaojing Zhang2
1Department of Mathematics Kansas State University Manhattan, KS 66506, U.S.A. and Department of Mathematics Washington State University Pullman, WA 99164, U.S.A.
2Department of Mathematics Kansas State University Manhattan, KS 66506, U.S.A.
Studia Mathematica, Tome 222 (2014) no. 3, pp. 207-228
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We prove a lower bound in a law of the iterated logarithm for sums of the form $\sum _{k=1}^N a_k f(n_k x+c_k)$ where $f$ satisfies certain conditions and the $n_k$ satisfy the Hadamard gap condition $n_{k+1}/n_k\geq q >1. $
DOI : 10.4064/sm222-3-2
Keywords: prove lower bound law iterated logarithm sums form sum f c where satisfies certain conditions satisfy hadamard gap condition geq

Charles N. Moore  1   ; Xiaojing Zhang  2

1 Department of Mathematics Kansas State University Manhattan, KS 66506, U.S.A. and Department of Mathematics Washington State University Pullman, WA 99164, U.S.A.
2 Department of Mathematics Kansas State University Manhattan, KS 66506, U.S.A. 
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Charles N. Moore; Xiaojing Zhang. A lower bound in the law of the iterated logarithm for general lacunary series. Studia Mathematica, Tome 222 (2014) no. 3, pp. 207-228. doi: 10.4064/sm222-3-2

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