A metric discrepancy result for a lacunary sequence with small gaps

作者：Fukuyama Katusi^*

来源：Monatshefte fur Mathematik, 2011, 162(3): 277-288.

DOI：10.1007/s00605-009-0185-0

• Lacunary series
• Discrepancy

For any G(k) up arrow infinity, there exists a sequence {n(k)} of integers with 1 <= n(k+1) - n(k) <= G(k) such that the discrepancies of {n(k)x} obey the law of the iterated logarithm in the same way as uniform distributed i.i.d.

• 出版日期2011-3