The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Currently displaying 1 – 4 of 4

Showing per page

Order by Relevance | Title | Year of publication

On the arithmetic properties of complex values of Hecke-Mahler series. I. The rank one case

Federico Pellarin — 2006

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

Here we characterise, in a complete and explicit way, the relations of algebraic dependence over of complex values of Hecke-Mahler series taken at algebraic points u ̲ 1 , ... , u ̲ m of the multiplicative group 𝔾 m 2 ( ) , under a technical hypothesis that a certain sub-module of 𝔾 m 2 ( ) generated by the u ̲ i ’s has rank one (rank one hypothesis). This is the first part of a work, announced in [Pel1], whose main objective is completely to solve a general problem on the algebraic independence of values of these series.

Page 1

Download Results (CSV)