English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We study the distributions of the splitting primes in certain families ofnumber fields. The first and main example is the family Pn,N of integerpolynomials monic of degree n with height less or equal then N, and then let Ngo to infinity. We prove an average version of the Chebotarev Density Theoremfor this family. In particular, this gives Central Limit Theorem for the numberof primes with given splitting type in some ranges. As an application, wededuce some estimates for the torsion in the class groups and for the averageof ramified primes.

Arithmetic statistics of families of integer Sn-polynomials and application to class group torsion