Period Functions for Maass Wave Forms and Cohomology |
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| Author:
| Bruggeman, R.
Lewis, J.
Zagier, D. |
| Series title: | Memoirs of the American Mathematical Society Ser. |
| ISBN: | 978-1-4704-1407-8 |
| Publication Date: | Sep 2015 |
| Publisher: | American Mathematical Society
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| Book Format: | Paperback |
| List Price: | USD $81.00USD $81.00 |
Book Description:
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The authors construct explicit isomorphisms between spaces of Maass wave forms and cohomology groups for discrete cofinite groups $\Gamma\subset\mathrm{{PSL}}_2({{\mathbb{{R}}}})$. In the case that $\Gamma$ is the modular group $\mathrm{{PSL}}_2({{\mathbb{{Z}}}})$ this gives a cohomological framework for the results in Period functions for Maass wave forms.
The authors construct explicit isomorphisms between spaces of Maass wave forms and cohomology groups for discrete cofinite groups $\Gamma\subset\mathrm{{PSL}}_2({{\mathbb{{R}}}})$. In the case that $\Gamma$ is the modular group $\mathrm{{PSL}}_2({{\mathbb{{Z}}}})$ this gives a cohomological framework for the results in Period functions for Maass wave forms.