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Multiple Zeta Values

Number Theory 2026-08-03 v1 Combinatorics

Abstract

These lecture notes are based on three courses given at Nagoya University. Their purpose is to give a beginner-friendly introduction to multiple zeta values and several of their variants, such as finite and symmetric multiple zeta values, q-analogues of multiple zeta values, and multiple Eisenstein series. These notes will be updated in the future.

Cite

@article{arxiv.2608.02230,
  title  = {Multiple Zeta Values},
  author = {Henrik Bachmann},
  journal= {arXiv preprint arXiv:2608.02230},
  year   = {2026}
}

Comments

246 pages. Comments and suggestions are welcome!