Applications of differential algebra to algebraic independence of arithmetic functions
Acta Arithmetica, Tome 172 (2016) no. 2, pp. 149-173
Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences
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.
Keywords:
generalize unify proofs several results algebraic independence arithmetic functions dirichlet series using theorem differential schanuel conjecture along counter examples results literature
Affiliations des auteurs :
Wai Yan Pong 1
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author = {Wai Yan Pong},
title = {Applications of differential algebra to algebraic independence of arithmetic functions},
journal = {Acta Arithmetica},
pages = {149--173},
publisher = {mathdoc},
volume = {172},
number = {2},
year = {2016},
doi = {10.4064/aa8112-12-2015},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/aa8112-12-2015/}
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%0 Journal Article %A Wai Yan Pong %T Applications of differential algebra to algebraic independence of arithmetic functions %J Acta Arithmetica %D 2016 %P 149-173 %V 172 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/articles/10.4064/aa8112-12-2015/ %R 10.4064/aa8112-12-2015 %G en %F 10_4064_aa8112_12_2015
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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