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arXiv · 1504.03263

Applications of differential algebra to algebraic independence of arithmetic functions

Wai Yan Pong
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Abstract

We generalize and unify the proofs of several results on algebraic in- dependence of arithmetic functions and Dirichlet series by a theorem of Ax on differential Schanuel conjecture. Along the way, we find counter-examples to some results in the literature.

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Wai Yan Pong. 2017-01-16. Applications of differential algebra to algebraic independence of arithmetic functions. https://doi.org/10.4064/aa8112-12-2015

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