The Dirichlet Series for the Exterior Square L-function on GL(n)

2009/09/26 by Alex Kontorovich, Kontorovich, Alex
Mathematics · #11F66 #Advanced Algebra and Geometry #Analytic Number Theory Research #FOS: Mathematics #Number Theory (math.NT) #advanced mathematical theories #math.NT #msc:11F66

paper · pdf · doi:10.48550/arxiv.0909.4869

arxiv created 2009/09/26 · openalex publication_date 2009/09/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an elementary derivation of the Jacquet-Shalika construction for the exterior square L-function on GL(n), as a classical Dirichlet series in the Fourier coefficients A(m₁,...,m_n-1).

Related

• On the local and global exterior square L-functions
• The functional equation of the Jacquet-Shalika integral representation\n of the local exterior-square L-function
• The archimedean theory of the Exterior Square L-functions over Q
• Derivatives and Exceptional Poles of the Local Exterior Square L-Function for GL_m
• The exterior square L-function on GU(2,2)