English

A parameterized generalization of the sum formula for quadruple zeta values

Number Theory 2012-10-31 v1

Abstract

We give a parameterized generalization of the sum formula for quadruple zeta values. The generalization has four parameters, and is invariant under a cyclic group of order four. By substituting special values for the parameters, we also obtain weighted sum formulas for quadruple zeta values, which contain some known results.

Keywords

Cite

@article{arxiv.1210.8005,
  title  = {A parameterized generalization of the sum formula for quadruple zeta values},
  author = {Tomoya Machide},
  journal= {arXiv preprint arXiv:1210.8005},
  year   = {2012}
}

Comments

ver.1

R2 v1 2026-06-21T22:30:03.416Z