A $$\mathrm {GL}_3$$ analog of Selberg’s result on S(t)

Autor: Shenhui Liu, Sheng-Chi Liu
Rok vydání: 2020
Předmět:
Zdroj: The Ramanujan Journal. 56:163-181
ISSN: 1572-9303
1382-4090
Popis: Let $$S(t,F):=\pi ^{-1}\arg L\big (\frac{1}{2}+it,F\big ),$$ where F is a Hecke–Maass cusp form for $$\mathrm {SL}_3({\mathbb {Z}}).$$ We establish an asymptotic formula for the spectral moments of S(t, F), and obtain several other results on S(t, F).
Databáze: OpenAIRE
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