Multiple harmonic series.

@article{Hoffman1992MultipleHS,
  title={Multiple harmonic series.},
  author={M. S. Hoffman},
  journal={Pacific Journal of Mathematics},
  year={1992},
  volume={152},
  pages={275-290}
}
  • M. S. Hoffman
  • Published 1992
  • Mathematics
  • Pacific Journal of Mathematics
Explicit Relations of Some Variants of Convoluted Multiple Zeta Values
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  • 2021
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Renewal sequences and record chains related to multiple zeta sums
For the random interval partition of $[0,1]$ generated by the uniform stick-breaking scheme known as GEM$(1)$, let $u_k$ be the probability that the first $k$ intervals created by the stick-breakingExpand
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We study multiple zeta values (MZVs) from the viewpoint of zeta-functions associated with the root systems which we have studied in our previous papers. In fact, the $r$-ple zeta-functions ofExpand
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The shuffle product plays an important role in the study of multiple zeta values (MZVs). This is expressed in terms of multiple integrals, and also as a product in a certain non-commutativeExpand
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References

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TRANSFORMATION FORMULAE FOR MULTIPLE SERIES
P(a,b,c) = 2 r~a 2 k~b Σ ι~cr=\ k=\ l=\ Then P(a, b, c) + P(a, c, b) + P(b, c, a) + P(b, a, c)
A classical introduction to modern number theory
TLDR
This second edition has been corrected and contains two new chapters which provide a complete proof of the Mordell-Weil theorem for elliptic curves over the rational numbers, and an overview of recent progress on the arithmetic of elliptic curve. Expand
On the Evaluation of Some Multiple Series
A New Method of Evaluating ζ(2n)