This article is cited in 10 papers

The Euler–Kronecker Constant

A. I. Badzyan

Independent University of Moscow

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.

Keywords: Euler–Kronecker constant, number field, algebraic manifold, finite field, zeta function, Laurent series, the generalized Riemann hypothesis, Betti number.

UDC: 511

Received: 24.03.2008

DOI: 10.4213/mzm4736

 English version: Mathematical Notes, 2010, 87:1, 31–42

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