Displaying similar documents to “On Maslanka's representation for the Riemann zeta function.”

Some new transformations for Bailey pairs and WP-Bailey pairs

James Mc Laughlin (2010)

Open Mathematics

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We derive several new transformations relating WP-Bailey pairs. We also consider the corresponding transformations relating standard Bailey pairs, and as a consequence, derive some quite general expansions for products of theta functions which can also be expressed as certain types of Lambert series.

On some BK spaces.

De Malafosse, Bruno (2003)

International Journal of Mathematics and Mathematical Sciences

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Distortion mismatch in the quantization of probability measures

Siegfried Graf, Harald Luschgy, Gilles Pagès (2008)

ESAIM: Probability and Statistics

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We elucidate the asymptotics of the -quantization error induced by a sequence of -optimal -quantizers of a probability distribution on d when . In particular we show that under natural assumptions, the optimal rate is preserved as long as (and for every in the case of a compactly supported distribution). We derive some applications of these results to the error bounds for quantization based cubature formulae in numerical integration on d and on the Wiener space.