Arithmetic properties related to the shuffle-product

Details Arithmetic properties related to the shuffle-product Arithmetic properties related to the shuffle-product

2007-05-24

arxiv.org/abs/0705.3632v2

Mathematics

Number Theory

20 pages, contains experimental data

Scientific paper

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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