On a Conjecture of Yui and Zagier
Number Theory
2019-11-22 v1
Abstract
In this paper, we prove the conjecture of Yui and Zagier concerning the factorization of the resultants of minimal polynomials of Weber class invariants. The novelty of our approach is to systematically express differences of certain Weber functions as products of Borcherds products.
Keywords
Cite
@article{arxiv.1911.09589,
title = {On a Conjecture of Yui and Zagier},
author = {Yingkun Li and Tonghai Yang},
journal= {arXiv preprint arXiv:1911.09589},
year = {2019}
}
Comments
43 pages, comments welcome!