Abstract
Let , be cuspidal automorphic representations of of conductor and Hecke eigenvalues , and let be an integer. For any smooth compactly supported weight functions and any , a spectral decomposition of the shifted convolution sum is obtained. As an application, a spectral decomposition of the Dirichlet series is proved for with polynomial growth on vertical lines in the -aspect and uniformity in the -aspect
Citation
Valentin Blomer. Gergely Harcos. "The spectral decomposition of shifted convolution sums." Duke Math. J. 144 (2) 321 - 339, 15 August 2008. https://doi.org/10.1215/00127094-2008-038
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