On Kleinian mock modular forms
On Kleinian mock modular forms
Abstract We give an explicit and computationally efficient construction of harmonic weak Maass forms which map to weight 2 newforms under the $$\xi $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>ξ</mml:mi> </mml:math> -operator. Our work uses a new non-analytic completion of the Kleinian $$\zeta $$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>ζ</mml:mi> </mml:math> -function from the theory of …