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  • Open Access

Class invariants for certain non-holomorphic modular functions

Research in Number Theory20151:21

https://doi.org/10.1007/s40993-015-0022-6

  • Received: 7 July 2015
  • Accepted: 25 August 2015
  • Published:

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.

Keywords

  • Modular Form
  • Modular Function
  • Class Invariant
  • Mock Theta Function
  • Maass Form

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