Unconditional explicit Mertens’ theorems for number fields and Dedekind zeta residue bounds

Author:

Garcia Stephan Ramon,Lee Ethan Simpson

Funder

Division of Mathematical Sciences

Publisher

Springer Science and Business Media LLC

Subject

Algebra and Number Theory

Reference32 articles.

1. Bardestani, M., Freiberg, T.: Mertens’s theorem for splitting primes and more. arXiv:1309.7482

2. Bateman, P.T., Grosswald, E.: Imaginary quadratic fields with unique factorization. Ill. J. Math. 6, 187–192 (1962)

3. Borevich, A.I., Shafarevich, I.R.: Number theory, Translated from the Russian by Newcomb Greenleaf. Pure and Applied Mathematics, Vol. 20, Academic Press, New York-London (1966)

4. Broadbent, S., Kadiri, H., Lumley, A., Ng, N., Wilk, K.: Sharper bounds for the Chebyshev function $$\theta (x)$$. arXiv:2002.11068

5. de la Vallée Poussin, C .J.: La fonction $$\zeta (s)$$ de Riemann et les nombres premiers en général. Ann. Soc. Sci. Bruxelles Sér. I 20, 183–256 (1896)

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