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 …

Lower Bounds for the Height and Size of the Ideal Class Group in CM-Fields Page 1 Monatsh.
Math. 138, 85–94 (2003) DOI 10.1007/s00605-002-0499-7 Lower Bounds for the Height and …

We prove unconditionally that in some family of number fields, except for a density zero set,
the ideal class group of K is generated by degree one prime ideals whose norm is O ((log⁡ …

Let k be a real quadratic field and k, E the ring of integers and the group of units in k.
Denoting by E () the subgroup represented by E of (k/)× for a prime ideal, we show that …

On the Ideal Class Group Problem for Global Fields Page 1 Journal of Number Theory 77, 27
35 (1999) On the Ideal Class Group Problem for Global Fields Marc Perret Unite de …

Let k be a real quadratic number field and o_k, E the ring of integers and the group of units
in k. Denote by E_p a subgroup represented by E of (o_k/p)^* for a prime ideal p in k. We …

Let $\mathbb {F} $ be a finite field and $ T $ a transcendental element over $\mathbb {F} $.
An imaginary function field is defined to be a function field such that the prime at infinity is …

Let $ K $ be a number field with the discriminant $ D_K $ and the class number $ h_ {K} $,
which has bounded degree over $\mathbb {Q} $. By assuming GRH, we prove that every …

On the number of pure fields of prime degreeOnline logo sign_in Unia Europejska A+
CATEGORY SCIENTIFIC UNIT Institute About us Directory Board Mathematicians Administration …

Let F be a finite field with q elements, and T a transcendental element over F. In this paper,
we construct infinitely many real function fields of any fixed degree over F (T) with ideal class …