Effective prime ideal theorem and exponents of ideal class groups

PJ Cho, HH Kim - The Quarterly Journal of Mathematics, 2014 - academic.oup.com
For a family of G-fields K, we show an effective prime ideal theorem with probability 1.
Namely, outside a density zero set, π (x, K)= Li (x)+ O (x/(log x) 2) for x≥(log d K) c for some …

EFFECTIVE PRIME IDEAL THEOREM AND EXPONENTS OF IDEAL CLASS GROUPS

PJ Cho, HH Kim - Quarterly Journal of Mathematics, 2014 - ieeexplore.ieee.org
For a family of G-fields K, we show an effective prime ideal theorem with probability 1.
Namely, outside a density zero set, π (x, K)= Li (x)+ O (x/(log x) 2) for x≥(log d K) c for some …

EFFECTIVE PRIME IDEAL THEOREM AND EXPONENTS OF IDEAL CLASS GROUPS.

PJ Cho, HH Kim - Quarterly Journal of Mathematics, 2014 - search.ebscohost.com
For a family of G-fields K, we show an effective prime ideal theorem with probability 1.
Namely, outside a density zero set, π (x, K)= Li (x)+ O (x/(log x) 2) for x≥(log dK) c for some c …