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
• DOI: 10.4310/mrl.2009.v16.n1.a7
• Texto completo no disponible (Saber más ...)
• 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.