Applications of differential algebra to algebraic independence of arithmetic functions

• Autorzy: Wai Yan Pong
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 12H05: Differential algebra
• 11J91: Transcendence theory of other special functions
• 11A25: Arithmetic functions; related numbers; inversion formulas
• 11J72: Irrationality; linear independence over a field
• 11J85: Algebraic independence; Gel\cprime fond's method

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Acta Arithmetica
• Rocznik: 2016
• Tom: 172
• Numer: 2
• Strony: 149-173

Daty

wydano

2016

Twórcy

autor

Wai Yan Pong

• California State University Dominguez Hills, Carson, CA 90747, U.S.A.

Identyfikatory

DOI

10.4064/aa8112-12-2015