The sum of a hybrid arithmetic function over a sparse sequence

Let $ \lambda_{f}(n) $ be the $ n $-th normalized Fourier coefficient of $ f $, which is a primitive holomorphic cusp form of even integral weight $ k\geq2 $ for the full modular group $ SL_2(\mathbb{Z}) $. Let also $ \sigma(n) $ and $ \phi(n) $ be the sum-of-divisors function and the Euler totient...

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Bibliographic Details
Main Authors: Huafeng Liu, Rui Liu
Format: Article
Language:English
Published: AIMS Press 2024-01-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024234?viewType=HTML