The Klein j-Function is not Pfaffian over the Real Exponential Field
Number Theory
2024-08-09 v2 Logic
Abstract
James Freitag showed that the Klein j-function is not paffian over the complex numbers. We expand on this result by showing that a restriction of the Klein j-function to the imaginary interval (0, i) is not pfaffian over the real field exponential field in the sense of Miller and Speissegger.
Cite
@article{arxiv.2311.06980,
title = {The Klein j-Function is not Pfaffian over the Real Exponential Field},
author = {Christoph Kesting},
journal= {arXiv preprint arXiv:2311.06980},
year = {2024}
}
Comments
6 pages, Fixed proof of Theorem B and improved the Introduction