Jonathan Borwein: Experimental Mathematician

Hypergeometric Forms for Ising-Class Integrals

We apply experimental-mathematical principles to analyze integrals

Pimm book

If my teachers had begun by telling me that mathematics was pure play with presuppositions, and wholly in the air, I might have become a good mathematician, because I am happy enough in the realm of essence. But they were over-worked drudges, and I was largely inattentive, and inclined lazily to attribute to incapacity in myself or to a literary temperament that dullness which perhaps was due s...

Emerging Tools for Experimental

Experimental Determination of Apéry-like Identities for ς(2n + 2)

We document the discovery of two generating functions for ζ(2n + 2), analogous to earlier work for ζ(2n + 1) and ζ(4n + 3), initiated by Koecher and pursued further by Borwein, Bradley and others.

6 Experimental Determination of Apéry - Like Identities for ζ ( 2 n + 2 )

We document the discovery of two generating functions for ζ(2n + 2), analogous to earlier work for ζ(2n + 1) and ζ(4n + 3), initiated by Koecher and pursued further by Borwein, Bradley and others.