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math.QA2004★ 9 cited
The Hopf algebra structure of multiple harmonic sums
Michael E. Hoffman
Multiple harmonic sums appear in the perturbative computation of various quantities of interest in quantum field theory. In this article we introduce a class of Hopf algebras that…
math.QA2000
Relations of multiple zeta values and their algebraic expression
Michael E. Hoffman, Yasuo Ohno
We establish a new class of relations among the multiple zeta values ζ(k_1,k_2,...,k_n), which we call the cyclic sum identities. These identities have an elementary proof, and imp…
math.QA1999
Quasi-shuffle products
Michael E. Hoffman
Given a locally finite graded set A and a commutative, associative operation on A that adds degrees, we construct a commutative multiplication * on the set of noncommutative polyno…