Asymptotic behaviour of theeuler–kronecker constant

5Citations
Citations of this article
3Readers
Mendeley users who have this article in their library.
Get full text

Abstract

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).

Cite

CITATION STYLE

APA

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

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free