Geodesic
A lower bound in the law of the iterated logarithm for general lacunary series
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.
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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