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The second moment of spinor L-functions for Sp(4)
Algebraic Geometry and Number Theory| Speaker: | Sheng-Chi Liu, Washington State University |
| Related Webpage: | https://math.wsu.edu/faculty/wsu-profile/shengchi.liu/ |
| Location: | 2112 MSB |
| Start time: | Thu, Apr 10 2025, 1:10PM |
Given a Siegel modular form for SP(4,Z), one can associate it with a spinor (degree 4) L-function. The first and second moments of the spinor L-functions, weighted by the "harmonic weight", were studied by Kowalski-Saha-Tsimerman and Blomer. In this talk, we will review their results and discuss an upper bound for the second moment of the spinor L-functions with a different weight.