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Asymptotic formula for shifted convolution sums involving the coefficients of an L-function
Published online by Cambridge University Press: 01 September 2025
Abstract
Let 
$f $ be a normalized Hecke eigenform of even weight 
$k \geq 2$ for 
$SL_2(\mathbb {Z})$. In this article, we establish an asymptotic formula for the shifted convolution sum of a general divisor function, where the sum involves the Fourier coefficients of a multi-folded L-function weighted with a kernel function.
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