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arXiv · 1910.02805

Deformation of Multiple Zeta Values and Their Logarithmic Interpretation in Positive Characteristic

Oğuz Gezmiş
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Abstract

Pellarin introduced the deformation of multiple zeta values of Thakur as elements over Tate algebras. In this paper, we relate these values to a certain coordinate of a higher dimensional Drinfeld module over Tate algebras which we will introduce. Moreover, we define multiple polylogarithms in our setting and represent deformation of multiple zeta values as a linear combination of multiple polylogarithms.

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Oğuz Gezmiş. 2021-08-23. Deformation of Multiple Zeta Values and Their Logarithmic Interpretation in Positive Characteristic. https://doi.org/10.25537/dm.2020v25.2355-2411

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