A new Hopf algebra of formal multiple polylogarithms is defined for every field, with Hodge and motivic realizations, proposed as the conjectural Hopf algebra of framed mixed Tate motives.
Quasi-shuffle algebras and applications
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Quasi-shuffle algebras have been a useful tool in studying multiple zeta values and related quantities, including multiple polylogarithms, finite multiple harmonic sums, and q-multiple zeta values. Here we show that two ideas previously considered only for multiple zeta values, the interpolated product of S. Yamamoto and the symmetric sum theorem, can be generalized to any quasi-shuffle algebra.
fields
math.NT 1years
2024 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
The Hopf algebra of formal multiple polylogarithms
A new Hopf algebra of formal multiple polylogarithms is defined for every field, with Hodge and motivic realizations, proposed as the conjectural Hopf algebra of framed mixed Tate motives.