Abstract
Let K3 be a non-normal cubic extension over ℚ:We study the higher moment of the coefficients \({a_{{K_3}}}(n)\) of Dedekind zeta function over sum of two squares \(\sum\nolimits_{n_1^2 + n_2^2 \leqslant x} {a_{{K_3}}^l(n_1^2 + n_2^2)} \) where 2 ⩽ l ⩽ 8 and n1; n2; l∈ ℤ.
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Acknowledgements
The authors were very grateful to the referees for some extremely helpful remarks. This work was supported in part by the National Natural Science Foundation of China (Grant Nos. 11771252, 11531008).
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Hu, G., Wang, K. Higher moment of coefficients of Dedekind zeta function. Front. Math. China 15, 57–67 (2020). https://doi.org/10.1007/s11464-020-0816-2
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DOI: https://doi.org/10.1007/s11464-020-0816-2