Multiple Zeta Values
Seminar Room 2, Newton Institute Gatehouse
AbstractSpecial values of the famous Riemann zeta function at integer points have long been known to be of high arithmetic significance. They can be regarded as a special (depth 1) case of multiple zeta values whose renaissance--after Euler's seminal work which had been mostly forgotten--about 25 years ago, in particular by Zagier and Goncharov in an arithmetic context and by Broadhurst in particle physics, has triggered a flurry of activity producing lots of results and many more conjectural properties about these numbers. We will try to give some of the basic properties and a glimpse of a few of the many different contexts in which they appear.
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