Derives results on sums and moments of λ_sym^j f(n) over sums of m squares ≡1 mod q (m even, 2≤m≤12) and applies them to convolution sums and sign changes with k-full kernels for k≥2.
On certain kernel functions and shifted convolution sums of Hecke eigenvalues.https://arxiv.org/ abs/2404.05313, 2024
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Shifted convolution sums of coefficients of symmetric power $L$-functions with $k$-full kernels over sums of squares in arithmetic progressions
Derives results on sums and moments of λ_sym^j f(n) over sums of m squares ≡1 mod q (m even, 2≤m≤12) and applies them to convolution sums and sign changes with k-full kernels for k≥2.