9 citations · 9 across the 2 of their papers we have counts for
5 papers
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…
Updown Categories
Michael E. Hoffman
A poset can be regarded as a category in which there is at most one morphism between objects, and such that at most one of Hom(c,c') and Hom(c',c) is nonempty for c not equal to c'…
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…
Periods of mirrors and multiple zeta values
Michael E. Hoffman
In a recent paper, A. Libgober showed that the multiplicative sequence {Q_i(c_1,...,c_i)} of Chern classes corresponding to the power series Q(z)=1/Gamma(1+z) appears in a relation…
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…