Michael E. Hoffman

activity

19992026

most citedQuasi-symmetric functions and mod p multiple harmonic sums

109 citations · 435 across the 24 of their papers we have counts for

collaborators

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5 papers · 1 filter

math.CO2019★ 1 cited

Logarithmic integrals, zeta values, and tiered binomial coefficients

Michael E. Hoffman, Markus Kuba

We study logarithmic integrals of the form $\int_{0}^{1} x^{i} ln^{n} (x) ln^{m} (1 - x) d x$ . They are expressed as a rational linear combination of certain rational numbers $(n, m)_{i}$ , which we c…

math.CO2017

On Louchard's Asymptotic Series

Michael E. Hoffman

Recently G. Louchard obtained an asymptotic series $\sum_{j = 0}^{\infty} \frac{I _{j}}{n ^{j}}$ for the integral $\int_{0}^{1} [x^{n} + (1 - x)^{n}]^{\frac{1}{n}} d x$ as $n \to \infty$ , and computed $I_{j}$ for $…

math.CO2012★ 1 cited

Updown categories: Generating functions and universal covers

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 distinct objects…

math.CO2004

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'…

math.CO2002★ 62 cited

Combinatorics of Rooted Trees and Hopf Algebras

Michael E. Hoffman

We begin by considering the graded vector space with a basis consisting of rooted trees, graded by the count of non-root vertices. We define two linear operators on this vector spa…