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math.NT2026
Shifted convolution sums of coefficients of symmetric power -functions with -full kernels over sums of squares in arithmetic progressions
Jewel Mahajan, Arnab Mitra
Let be an integer and let be a normalised Hecke eigenform of integral weight for the full modular group. Let denote the -th symmetric power -f…
math.NT2026
Moments and sign changes of symmetric power -function coefficients over sums of squares
Jewel Mahajan, Arnab Mitra
Let be a normalised Hecke eigenform of even integral weight for the full modular group , let be the th symmetric power $L…