Class invariants for certain non-holomorphic modular functions
© The Author(s) 2015
Received: 7 July 2015
Accepted: 25 August 2015
Published: 28 September 2015
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.