4 papers
Geometric families of multiple elliptic Gamma functions and arithmetic applications, II
Pierre L. L. Morain
This is the second paper in a series where we study arithmetic applications of the multiple elliptic Gamma functions originated in mathematical physics. In the first article in thi…
Geometric families of multiple elliptic Gamma functions and arithmetic applications, I
Pierre L. L. Morain
This is the first paper in a series where we study arithmetic applications of the multiple elliptic Gamma functions originated from mathematical physics. The main purpose of this p…
Computations of higher elliptic units in optimal settings
Pierre L. L. Morain
In this paper we present a simplified form of a conjecture on the construction of generalised elliptic units above number fields with exactly one complex place. They are conjectura…
Elliptic Units Above Fields With Exactly One Complex Place
Pierre L. L. Morain
In this work we explore the construction of abelian extensions of number fields with exactly one complex place using multivariate analytic functions in the spirit of Hilbert's 12th…