Open Access

Class invariants for certain non-holomorphic modular functions

Research in Number Theory20151:21

DOI: 10.1007/s40993-015-0022-6

Received: 7 July 2015

Accepted: 25 August 2015

Published: 28 September 2015

Abstract

Inspired by previous work of Bruinier-Ono and Mertens-Rolen, we study class polynomials for non-holomorphic modular functions arising from modular forms of negative weight.

In particular, we give general conditions for the irreducibility of class polynomials and obtain a general theorem to check when functions constructed in a special way are class invariants.