QUASI-SYMMETRIC FUNCTIONS AND MOD p MULTIPLE HARMONIC SUMS
By Michael E. Hoffman. 2004
121 citations recorded by the source corpus.
We present a number of results about (finite) multiple harmonic sums modulo a prime, which provide interesting parallels to known results about multiple zeta values (i.e., infinite multiple harmonic series). In particular, we prove a “duality” result for mod p harmonic sums similar to (but distinct from) that for multiple zeta values. We also exploit the Hopf algebra structure of the quasi-symmetric functions to do calculations with multiple harmonic sums mod p, and obtain, for each weight n ≤ 9, a set of generators for the space of weight-n multiple harmonic sums mod p.
Subfields: Algebra and Number Theory, Discrete Mathematics and Combinatorics
View Paper: https://www.semanticscholar.org/paper/d854bfb4491dfabc9e4415c0dbafa565b55eb12f
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In Algebra and Number Theory
In Discrete Mathematics and Combinatorics
Citations in the corpus
- A new integral–series identity of multiple zeta values and regularizations (2016, methodology): “We may also obtain the second identity from the first by applying the antipode of the Hopf algebra of quasi-symmetric functions described in [4].”