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Number Theory Seminar

The second moment of spinor L-functions for Sp(4)

Shengchi Liu

Location:  HLL 525
Date & time: Tuesday, 25 March 2025 at 2:00PM - 3:00PM

Abstract: 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.