The distribution of Euler-Kronecker constants of quadratic fields
Lamzouri, Youness
Original · EN
We investigate the distribution of large positive (and negative) values of the Euler-Kronecker constant γQ₍√ D₎ of the quadratic field Q(√D) as D varies over fundamental discriminants |D|≤ x. We show that the distribution function of these values is very well approximated by that of an adequate probabilistic random model in a large uniform range. The main tools are an asymptotic formula for the Laplace transform of γQ₍√ D₎ together with a careful saddle point analysis.
English translation
This paper has no Arabic translation yet. Be the first: it takes a few seconds, and the result is stored for every future reader.