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math.CA2007
A signed analog of Euler's reduction formula for the double zeta function
David M. Bradley
The double zeta function is a function of two arguments defined by a double Dirichlet series, and was first studied by Euler in response to a letter from Goldbach in 1742. By calcu…
math.CA2007
Some remarks on sinc integrals and their connection with combinatorics, geometry and probability
David M. Bradley
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…