Geodesic
Applications of differential algebra to algebraic independence of arithmetic functions
Wai Yan Pong1
1 California State University Dominguez Hills Carson, CA 90747, U.S.A.
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.
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. 
@article{10_4064_aa8112_12_2015,
     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/}
}
TY  - JOUR
AU  - Wai Yan Pong
TI  - Applications of differential algebra to algebraic independence of arithmetic functions
JO  - Acta Arithmetica
PY  - 2016
SP  - 149
EP  - 173
VL  - 172
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.4064/aa8112-12-2015/
DO  - 10.4064/aa8112-12-2015
LA  - en
ID  - 10_4064_aa8112_12_2015
ER  - 
%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. http://geodesic.mathdoc.fr/articles/10.4064/aa8112-12-2015/

Cité par Sources :