Maass Waveforms Arising from Σ and Related Indefinite Theta Functions
نویسنده
چکیده
The purpose of this paper is to use indefinite theta functions to explain and generalize an example of a Maass waveform which was constructed by Cohen from two functions σ and σ∗, studied by Andrews, Dyson and Hickerson. For this, we construct certain functions attached to an indefinite binary quadratic form and show that they are “nearly” Maass waveforms. In certain special cases we obtain actual Maass waveforms.
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تاریخ انتشار 2010