The College of Science provides students with the high-demand skills and knowledge to succeed as researchers and professionals. The College includes four departments: Biology, Chemistry, Math, and Physics, and is also home to a number of interdisciplinary programs, centers, institutes, intercollegiate programs, labs, and services.
Abstract: We find the number sₖ(p, Ω) of cuspidal automorphic representations of GSp(4, AQ) with trivial central character such that the archimedean component is a holomorphic discrete series representation of weight k ≥ 3, and the non-archimedean component at p is an Iwahori-spherical representation of type Ω and unramified otherwise. Using the automorphic Plancherel density theorem, we show how a limit version of our formula for sₖ(p, Ω) generalizes to the vector-valued case and a finite number of ramified places.
This article is part of the following collection of related materials.
UNT Scholarly Works
Materials from the UNT community's research, creative, and scholarly activities and UNT's Open Access Repository. Access to some items in this collection may be restricted.
