2014/04/30 by Ellen Eischen, Xin Wan
Mathematics · #Advanced Algebra and Geometry #Advanced Mathematical Identities #Algebraic Geometry and Number Theory #Constant (computer programming) #Cusp (singularity) #Cusp form #Eisenstein series #Quadratic equation #Quadratic field #Series (stratigraphy) #Term (time) #Unitary state #math.NT
paper · pdf · doi:10.1017/s1474748014000395
published as Journal of the Institute of Mathematics of Jussieu, Vol. 15 (2016), 471-510 · Accepted for publication in the Journal of the Institute of Mathematics of Jussieu
arxiv created 2014/10/21 · openalex publication_date 2014/11/21 · openalex created_date 2016/06/24 · arxiv updated 2016/08/16 · openalex updated_date 2026/08/05
We construct p -adic families of Klingen–Eisenstein series and L -functions for cusp forms (not necessarily ordinary) unramified at an odd prime p on definite unitary groups of signature (r,0) (for any positive integer r ) for a quadratic imaginary field K split at p . When r=2 , we show that the constant term of the Klingen–Eisenstein family is divisible by a certain p -adic L -function.