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arXiv · 0705.3632

Arithmetic properties related to the shuffle-product

Roland Bacher
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Abstract

Properties of the shuffle product suggest the definition of a quadratic form with domain and values in formal power series over a field of characteristic 2. This quadratic form preserves rational (respectively algebraic) power series and its restriction to the affine subspace of series with constant term 1 is bijective. Conjecturally, this bijection restricts to a bijection of rational (respectively algebraic) formal power series.

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Roland Bacher. 2007-06-07. Arithmetic properties related to the shuffle-product. https://arxiv.org/abs/0705.3632

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