A large sieve inequality of Elliott–Montgomery–Vaughan type for automorphic forms on GL3

• Xuanxuan Xiao ^[1] ; Zhao Xu ^[2]
  1. [1] Macau University of Science and Technology

     Macau University of Science and Technology

     RAE de Macao (China)

     
  2. [2] Shandong University

     Shandong University

     China

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 35, Nº 6, 2019, págs. 1693-1714
• Idioma: inglés
• DOI: 10.4171/rmi/1098
• Texto completo no disponible (Saber más ...)
• Resumen

  • We get a large sieve inequality of Elliott–Montgomery–Vaughan type for automorphic forms on GL3 in short intervals. As an application, we give a statistical result of sign changes for Hecke eigenvalues Aj(p,p).