English

On singular moduli for level 2 and 3

Number Theory 2007-05-23 v1

Abstract

Gross and Zagier proved a formula for the absolute norm N(j(\alpha_1) - j(\alpha_2)) of a difference of singular values of the modular function j. We formulate and prove the analogues of their result for a number of functions of level 2 and 3.

Cite

@article{arxiv.math/0304438,
  title  = {On singular moduli for level 2 and 3},
  author = {Hans Roskam},
  journal= {arXiv preprint arXiv:math/0304438},
  year   = {2007}
}

Comments

This paper is part of my thesis 'Primitive roots and singular moduli'