Liftings and mean value theorems for automorphic L-functions

• Autores: Kohji Matsumoto
• Localización: Proceedings of the London Mathematical Society, ISSN 0024-6115, Vol. 90, Nº 2, 2005, págs. 297-320
• Idioma: inglés
• DOI: 10.1112/s0024611504015096
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• Resumen

  • A general mean value theorem for Dirichlet series, with a sharp error estimate near the boundary of the critical strip, is proved. Applications of this theorem to various automorphic $L$-functions are discussed. Moreover, sharp upper bounds of mean square values of $L$-functions are obtained when they are attached to lifted forms, such as Doi¿Naganuma and Ikeda lifts in the theory of Siegel modular forms.