Correlations of Multiplicative Functions with Coefficients of Automorphic L-Functions
| Autor: | Yujiao Jiang, Guangshi Lü |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | International Mathematics Research Notices. |
| ISSN: | 1687-0247 1073-7928 |
| Popis: | Let $\lambda _{\phi }(n)$ be the Fourier coefficients of a Hecke holomorphic or Hecke–Maass cusp form on $\textrm{SL}_{2}(\mathbb Z)$ and $f$ be any multiplicative function that satisfies two mild hypotheses. We establish a nontrivial upper bound for the correlation $\sum _{n \leq X}f(n)\lambda _{\phi }(n+h)$ uniformly in $0 |
| Databáze: | OpenAIRE |
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