This appendix to the beautiful paper [1] of Ihara puts it in the context of infinite global fields of our papers [2] and [3]. We study the behaviour of Euler–Kronecker constant γK when the discriminant (genus in the function field case) tends to infinity. Results of [2] easily give us good lower bounds on the ratio γK/ log (Formula Presented). In particular, for number fields, under the generalized Riemann hypothesis we prove lim inf (Formula Presented) Then we produce examples of class-field towers, showing that lim inf (Formula Presented).
CITATION STYLE
Tsfasman, M. A. (2006). Asymptotic behaviour of theeuler–kronecker constant. In Progress in Mathematics (Vol. 253, pp. 454–458). Springer Basel. https://doi.org/10.1007/978-0-8176-4532-8_6
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