The Rankin�Selberg convolution for real analytic Cohen's Eisenstein series of half-integral weight

• Autores: Yoshinori Mizuno
• Localización: Journal of the London Mathematical Society, ISSN 0024-6107, Vol. 78, Nº 1, 2008, págs. 183-197
• Idioma: inglés
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• Resumen

  • We give a meromorphic continuation and a functional equation for the Rankin�Selberg convolution of certain real analytic Eisenstein series of half-integral weight. Our result and method have several applications to the Koecher�Maass series associated with the real analytic Siegel�Eisenstein series.