CECM Colloquium

**Wednesday January 24, 2001 From
3:30 - 4:30 in K9509, SFU
**

**
**

** Jonathan Michael Borwein, Simon Fraser University
Talks on
**

**Multi-variable Sinc Integrals and the Volumes of Polyhedra
**

** Abstract:**
Using classical Fourier transform techniques, we establish
inequalities for integrals of the form $$\int_0^\infty\prod_{k=0}^n
\frac{\sin(a_kx)}{a_kx}\,dx.$$ We then give quite striking closed
form evaluations of such integrals and finish by discussing various
extensions and applications.

The first part of this work is available at www.cecm.sfu.ca/preprints in:

David Borwein and Jonathan M. Borwein, ``Some remarkable properties of sinc and related integrals,'' The Ramanujan Journal, in press. [CECM Preprint 99:142]. while later work is joint with B.J. Mares as well.