Pure and Applied Mathematics Quarterly
Volume 19 (2023)
Special Issue in honor of Don Zagier
Guest editors: Benedict H. Gross, Ken Ono, and Fernando Rodriguez Villegas
On finite multiple zeta values of level two
Pages: 267 – 280
We introduce and study a “level two” analogue of finite multiple zeta values.We give conjectural bases of the space of finite Euler sums as well as that of usual finite multiple zeta values in terms of these newly defined elements. A kind of “parity result” and certain sum formulas are also presented.
multiple zeta values, finite multiple zeta values, finite Euler sums
2010 Mathematics Subject Classification
Primary 11M32. Secondary 11A07.
This work was supported by JSPS KAKENHI Grant Numbers JP16H06336 and JP21H04430.
Received 1 September 2021
Accepted 27 February 2022
Published 3 April 2023