Proof of Kaneko--Tsumura Conjecture on Triple T-Values
Number Theory
2024-10-04 v5
Abstract
Many -linear relations exist between multiple zeta values, the most interesting of which are various weighted sum formulas. In this paper, we generalized these to Euler sums and some other variants of multiple zeta values by considering the generating functions of the Euler sums. Through this approach we are able to re-prove a few known formulas, confirm a conjecture of Kaneko and Tsumura on triple -values, and discover many new identities.
Keywords
Cite
@article{arxiv.2011.02393,
title = {Proof of Kaneko--Tsumura Conjecture on Triple T-Values},
author = {Sasha Berger and Aarav Chandra and Jasper Jain and Daniel Xu and Ce Xu and J. Zhao},
journal= {arXiv preprint arXiv:2011.02393},
year = {2024}
}
Comments
11 pages, streamline the draft so that only results relevant to the proof of the conjecture are presented