Formal finite multiple zeta values
Henrik Bachmann, Risan
Abstract
We study the algebra of formal finite multiple zeta values by imposing the stuffle and linear shuffle relations of Kaneko and Zagier. Our first results are a surjective homomorphism to the algebra of formal symmetric multiple zeta values and a parity reduction in depth at most four. In even weight we construct a quotient of the formal double zeta space which surjects onto the space of finite multiple zeta values of depth at most four, and we attach to every even period polynomial an explicit relation among the values ζA(2a,1,2b,1).
Create a lesson
Related papers
Explicit equations of Galois subfields of Hermitian function fields with respect to decomposition groups
Liming Ma, Yipeng Wang
Tunnell-type criteria for variants of the congruent number problem
Bo-Hae Im, Minseo Shin
A uniform effective André--Oort result
Guy Fowler
On a conjecture of Browning and Sawin on random hypersurfaces with sign coefficients
Ken Ono, Ashvin Swaminathan
On Multiple Eisenstein Series in Positive Characteristic: Direct Sum Result
Chieh-Yu Chang, Song-Yun Chen, Fei-Jun Huang et al.
Stable Trace Formula for Newton strata of Shimura varieties
Dhruva Kelkar