Abstract
We consider lower bounds for the Euler—Kronecker constant in the case of number fields and upper and lower bounds in the case of algebraic manifolds over a finite field.
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Y. Ihara, “On the Euler—Kronecker constants of global fields and primes with small norms,” in Algebraic Geometry and Number Theory, Progr. Math. (Birkhäuser Boston, Boston, MA, 2006), Vol. 253, pp. 407–451.
Y. Ihara, “The Euler—Kronecker invariants in various families of global fields,” in Arithmetic, Geometry, and Coding Theory, Semin. Congr., Ed. by F. Rodier and S. Vladut, Proceedings of the International conference AGCT-10, Marseille, 2005 (Soc.Math. France, Paris, 2006), Vol. 21.
S. B. Stechkin, “On zeros of the Riemann zeta function,” Mat. Zametki 8(3), 419–429 (1970) [Math. Notes 8 (3–4), 706–711 (1970)].
D. X. Charles, Sieve Methods,Master’s Thesis (Univ. Buffalo (SUNY), Buffalo, NY, 2000).
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Original Russian Text © A. I. Badzyan, 2010, published in Matematicheskie Zametki, 2010, Vol. 87, No. 1, pp. 35–47.
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Badzyan, A.I. The Euler—Kronecker constant. Math Notes 87, 31–42 (2010). https://doi.org/10.1134/S0001434610010050
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DOI: https://doi.org/10.1134/S0001434610010050