2009 Number Theory Seminar - 05

Primitive Feynman graphs in Phi^4 theory give rise to transcendental numbers which, from the work of people like David Broadhurst, are multiple zeta values in known examples. Very little is known in general. Even how to predict the weight of the zeta value from the graph without doing the integrations is not known in general. I will discuss one special case of predicting weight drop, some interesting conjectures from the known data, and what very little I can prove so far.