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Applications of differential algebra to algebraic independence of arithmetic functions
Wai Yan Pong1
1California State University Dominguez Hills Carson, CA 90747, U.S.A.
Acta Arithmetica, Tome 172 (2016) no. 2, pp. 149-173
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We generalize and unify the proofs of several results on algebraic independence of arithmetic functions and Dirichlet series by using a theorem of Ax on the differential Schanuel conjecture. Along the way, we find counter-examples to some results in the literature.
DOI : 10.4064/aa8112-12-2015
Keywords: generalize unify proofs several results algebraic independence arithmetic functions dirichlet series using theorem differential schanuel conjecture along counter examples results literature

Wai Yan Pong  1

1 California State University Dominguez Hills Carson, CA 90747, U.S.A. 
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Wai Yan Pong. Applications of differential algebra to algebraic independence of arithmetic functions. Acta Arithmetica, Tome 172 (2016) no. 2, pp. 149-173. doi: 10.4064/aa8112-12-2015

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