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- W4300478093 abstract "Assuming the Generalized Riemann Hypothesis, Bach has shown that one can calculate the residue of the Dedekind zeta function of a number field K by a clever use of the splitting of primes p < X, with an error asymptotically bounded by 8.33 log D_K/(sqrt{X}log X), where D_K is the absolute value of the discriminant of K. Guided by Weil's explicit formula and still assuming GRH, we make a different use of the splitting of primes and thereby improve Bach's constant to 2.33. This results in substantial speeding of one part of Buchmann's class group algorithm." @default.
- W4300478093 created "2022-10-03" @default.
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- W4300478093 date "2013-04-30" @default.
- W4300478093 modified "2023-10-17" @default.
- W4300478093 title "Computing the residue of the Dedekind zeta function" @default.
- W4300478093 doi "https://doi.org/10.48550/arxiv.1305.0035" @default.
- W4300478093 hasPublicationYear "2013" @default.
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