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- W4318621277 abstract "Let $f(z) = sum A(n) n^{(k-1)/2} e(nz)$ be a cusp form of weight $k geq 3$ on $Gamma_0(N)$ with character $chi$. By studying a certain shifted convolution sum, we prove that $sum_{n leq X} A(n^2+h) = c_{f,h} X + O_{f,h,epsilon}(X^{frac{3}{4}+epsilon})$ for $epsilon>0$, which improves a result of Blomer from 2008 with error $X^{frac{6}{7}+epsilon}$. This includes an appendix due to Raphael S. Steiner, proving stronger bounds for certain spectral averages." @default.
- W4318621277 created "2023-01-31" @default.
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- W4318621277 date "2023-01-27" @default.
- W4318621277 modified "2023-10-14" @default.
- W4318621277 title "Sums of Cusp Form Coefficients Along Quadratic Sequences" @default.
- W4318621277 doi "https://doi.org/10.48550/arxiv.2301.11901" @default.
- W4318621277 hasPublicationYear "2023" @default.
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