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arxiv: 0705.0976 · v1 · submitted 2007-05-07 · 🧮 math.CA · math.CO

Some remarks on sinc integrals and their connection with combinatorics, geometry and probability

classification 🧮 math.CA math.CO
keywords combinatorialintegralssincalternativeborweinsclasscombinatoricsconnection
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We give an alternative, combinatorial/geometrical evaluation of a class of improper sinc integrals studied by the Borweins. A probabilistic interpretation is also noted and used to shed light on a related combinatorial identity.

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