Arithmetic properties of non-harmonic weak Maass forms
| Autor: | David Penniston, Kathrin Bringmann |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
Pure mathematics
Laplace transform Mathematics::Number Theory Applied Mathematics General Mathematics Harmonic (mathematics) Mathematics::Spectral Theory Type (model theory) Congruence relation Ramanujan's sum Algebra symbols.namesake symbols Algebraic number Eigenvalues and eigenvectors Mathematics |
| Zdroj: | Proceedings of the American Mathematical Society. 137:825-833 |
| ISSN: | 0002-9939 |
| DOI: | 10.1090/s0002-9939-08-09541-5 |
| Popis: | We prove the existence of an infinite family of non-harmonic weak Maass forms of varying weights and Laplace eigenvalues having algebraic coefficients, and show that the coefficients of these forms satisfy congruences of Ramanujan type. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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