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Keywords:
circle method; cusp form; Fourier coefficient
circle method; cusp form; Fourier coefficient
Summary:
Let $f$ be a normalized primitive holomorphic cusp form of even integral weight $k$ for the full modular group ${\rm SL}(2,\mathbb {Z})$, and denote its $n$th Fourier coefficient by $\lambda _{f}(n)$. We consider the hybrid problem of quadratic forms with prime variables and Hecke eigenvalues of normalized primitive holomorphic cusp forms, which generalizes the result of D. Y. Zhang, Y. N. Wang (2017).
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