A $$\mathrm {GL}_3$$ analog of Selberg’s result on S(t)
Autor: | Shenhui Liu, Sheng-Chi Liu |
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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 |
Externí odkaz: |