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- W2963233630 abstract "We treat an unbalanced shifted convolution sum of Fourier coefficients of cusp forms. As a consequence, we obtain an upper bound for correlation of three Hecke eigenvalues of holomorphic cusp forms $$sum _{Hle hle 2H}Wleft( frac{h}{H}right) sum _{Xle nle 2X}lambda _{1}(n-h)lambda _{2}(n)lambda _{3}(n+h)$$ , which is nontrivial provided that $$Hge X^{2/3+varepsilon }$$ . The result can be viewed as a cuspidal analogue of a recent result of Blomer on triple correlations of divisor functions." @default.
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- W2963233630 date "2017-01-31" @default.
- W2963233630 modified "2023-10-18" @default.
- W2963233630 title "Triple correlations of Fourier coefficients of cusp forms" @default.
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- W2963233630 doi "https://doi.org/10.1007/s11139-016-9874-1" @default.
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