On weak harmonic maass-modular grids of even integral weights

• Autores: Pavel Guerzhoy
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 16, Nº 1, 2009, págs. 59-65
• Idioma: inglés
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• Resumen

  • A number of examples of families of weak Maass forms and modular forms which satisfy a striking equality between their $q$-expansion coefficients appeared recently. One can formulate this equality by saying that these coefficients constitute a grid. In this paper we consider the simplest setting of even integral weight and full modular group. We prove that for every positive even integral weight a grid exists and is unique.