Abstract
For the normalized Fourier coefficients of Maass cusp forms λ(n) and the normalized Fourier coefficients of holomorphic cusp forms a(n), we give the bound of \(\sum\nolimits_{m_1^2 + m_2^2 + m_3^2 \leqslant x} {\lambda (m_1^2 + m_2^2 + m_3^2 )\Lambda (m_1^2 + m_2^2 + m_3^2 )} \) and \(\sum\nolimits_{m_1^2 + m_2^2 + m_3^2 \leqslant x} {a(m_1^2 + m_2^2 + m_3^2 )\Lambda (m_1^2 + m_2^2 + m_3^2 )} \).
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Hu, L. Quadratic forms connected with Fourier coefficients of Maass cusp forms. Front. Math. China 10, 1101–1112 (2015). https://doi.org/10.1007/s11464-015-0416-8
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DOI: https://doi.org/10.1007/s11464-015-0416-8