摘要
Cyclotomic multiple zeta values are generalizations of multiple zeta values.In this paper,we establish sum formulas for various kinds of cyclotomic multiple zeta values.As an interesting application,we show that the Q-algebra generated by Riemann zeta values are contained in the Qalgebra generated by unit cyclotomic multiple zeta values of level N for any N≥2.
基金
Supported by the National Natural Science Foundation of China(Grant Nos.12201642 and 12371327)
the Natural Science Foundation of Hunan Province,China(Grant No.2023JJ40691)。