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Pré-Publication, Document De Travail Année : 2024

A polynomial basis for the stuffle algebra and its applications

Résumé

In this paper we construct a polynomial basis for the stuffle algebra over a field of characteristic p>0. As an application we derive the transcendence degree for multiple zeta values in positive characteristic of small weights. To our knowledge, the only known result is the case of weight 2 which was proved by Mishiba using a completely different approach.
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Dates et versions

hal-04497356 , version 1 (09-03-2024)

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  • HAL Id : hal-04497356 , version 1

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Tuan Ngo Dac, Gia Vuong Nguyen Chu, Lan Huong Pham. A polynomial basis for the stuffle algebra and its applications. 2024. ⟨hal-04497356⟩
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