Applications of differential algebra to algebraic independence of arithmetic functions

Wai Yan Pong. "Applications of differential algebra to algebraic independence of arithmetic functions." Acta Arithmetica 172.2 (2016): 149-173. <http://eudml.org/doc/279683>.

@article{WaiYanPong2016,
abstract = {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.},
author = {Wai Yan Pong},
journal = {Acta Arithmetica},
keywords = {arithmetic functions; formal Dirichlet series; algebraic and linear dependence; differential schanuel conjecture; ax's theorem},
language = {eng},
number = {2},
pages = {149-173},
title = {Applications of differential algebra to algebraic independence of arithmetic functions},
url = {http://eudml.org/doc/279683},
volume = {172},
year = {2016},
}

TY - JOUR
AU - Wai Yan Pong
TI - Applications of differential algebra to algebraic independence of arithmetic functions
JO - Acta Arithmetica
PY - 2016
VL - 172
IS - 2
SP - 149
EP - 173
AB - 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.
LA - eng
KW - arithmetic functions; formal Dirichlet series; algebraic and linear dependence; differential schanuel conjecture; ax's theorem
UR - http://eudml.org/doc/279683
ER -