Get 20M+ Full-Text Papers For Less Than $1.50/day. Start a 14-Day Trial for You or Your Team.

Learn More →

DeepDyve requires Javascript to function. Please enable Javascript on your browser to continue.

Advances in Pure Mathematics

Subject Areas:
ISSN: 2160-0368

2009
Volume 2021
Issue 0907 (Jul)

FREE

Journal Article

Non-archimedean analysis on the extended hyperreal line $^*R_d$ and the solution of some very old transcendence conjectures over the field $Q$

Foukzon, Jaykov

2009 Mathematics

doi:10.4236/apm.2015.510056

Abstract: In this paper possible completion $^*R_{d}$ of the Robinson non-archimedean field $^*R$ constructed by Dedekind sections. Given an class of analytic functions of one complex variable $f \in C[z]$,we investigate the arithmetic nature of the values of $f$ at transcendental points $e^{n}$....

results per page

Prev
1
Next