Iterated Integrals and Multiple Polylogarithm at Algebraic Arguments

Published 5 Jan 2022 in math.NT and math.AG | (2201.01676v2)

Abstract: We give systematic method that can convert many values of multiple polylogarithm at algebraic arguments into colored multiple zeta values (CMZV). Moreover, a new method to generate nonstandard relations of CMZVs is discovered. Some applications to polylogarithm identities and infinite series are also mentioned.

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Kam Cheong Au

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