Results 11 to 20 of about 36 (36)
On class groups of random number fields
Proceedings of the London Mathematical Society, Volume 121, Issue 4, Page 927-953, October 2020., 2020 Abstract The main aim of this paper is to disprove the Cohen–Lenstra–Martinet heuristics in two different ways and to offer possible corrections. We also recast the heuristics in terms of Arakelov class groups, giving an explanation for the probability weights appearing in the general form of the heuristics.
Alex Bartel, Hendrik W. Lenstra Jr.
wiley +1 more source
A relative integral basis over ℚ(−3) for the normal closure of a pure cubic field
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 25, Page 1623-1626, 2003., 2003 Let K be a pure cubic field. Let L be the normal closure of K. A relative integral basis (RIB) for L over ℚ(−3) is given. This RIB simplifies and completes the one given by Haghighi (1986).
Blair K. Spearman, Kenneth S. Williams
wiley +1 more source
Continued fractions and class number two
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 9, Page 565-571, 2001., 2001 We use the theory of continued fractions in conjunction with ideal theory (often called the infrastructure) in real quadratic fields to give new class number 2 criteria and link this to a canonical norm‐induced quadratic polynomial. By doing so, this provides a real quadratic field analogue of the well‐known result by Hendy (1974) for complex quadratic
Richard A. Mollin
wiley +1 more source
Criterion for Class Number of the Family Q254m2+m to be Greater Than or Equal to Three
Journal of Mathematics, Volume 2025, Issue 1, 2025.In this paper, we present an explicit lower bound for the class number of real quadratic field k=QD, where D = 25m2 + 4m is a square‐free integer and m ≡ 4 (mod 5) is an odd positive integer.
Ahmad Issa, Huadong Su
wiley +1 more source
Unit groups of some multiquadratic number fields and 2-class groups. [PDF]
Period Math Hung, 2022 Chems-Eddin MM.
europepmc +1 more source
Soluble forms of cytokine and growth factor receptors: mechanisms of generation and modes of action in the regulation of local and systemic inflammation. [PDF]
FEBS Lett, 2022 Kefaloyianni E.
europepmc +1 more source
Some of the next articles are maybe not open access.
On Zp-extensions of real quadratic fields
Journal of the Mathematical Society of Japan, 1986Keiichi Komatsu
exaly
Error estimates for the Davenport-Heilbronn theorems
Duke Mathematical Journal, 2010Carl Pomerance +2 more
exaly
Classes généralisées invariantes
Journal of the Mathematical Society of Japan, 1994Georges Gras
exaly
Minimal 2-spheres with constant curvature in Pn(C)
Journal of the Mathematical Society of Japan, 1987Yoshihiro Ohnita
exaly