Higher moment of coefficients of Dedekind zeta function
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DOI: 10.1007/s11464-020-0816-2
Abstract: Let K 3 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)}… read more here.
Keywords: zeta function; moment coefficients; dedekind zeta; higher moment ... See more keywords
Explicit estimates for Artin L-functions: Duke's short-sum theorem and Dedekind Zeta Residues
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DOI: 10.1016/j.jnt.2021.10.007
Abstract: Under GRH, we establish a version of Duke’s short-sum theorem for entire Artin L-functions. This yields corresponding bounds for residues of Dedekind zeta functions. All numerical constants in this work are explicit. read more here.
Keywords: dedekind zeta; sum theorem; artin functions; duke short ... See more keywords