Mathematics

A transcendence result for the equation $D y = a Dx$

V. A. Aslanyan

Mathematical Institute, University of Oxford

Abstract: An analogue of the Lindemann–Weierstrass theorem in differential setting for the differential equation $D y = a D x$ is proved, where $a$ is a non-constant parameter.

Keywords: abstract differential equation, Ax-Schanuel theorem, Lindemann–Weierstrass theorem.

MSC: Primary 12H05; Secondary 12H20

Received: 07.03.2016
Accepted: 28.03.2016

Language: English