02/09/2024
Notre récente publication :
M. M. Chems-Eddin, M. B. T. El Hamam and M. A. Hajjami, On the unit group and the 2-class number of ℚ(√2,√p,√q), Ramanujan Journal, (2024). https://doi.org/10.1007/s11139-024-00947-x
https://www.researchgate.net/publication/383661970_On_the_unit_group_and_the_2-class_number_of_mathbbQsqrt2sqrtpsqrtq
Let $$p\equiv 1\pmod {8}$$ p ≡ 1 ( mod 8 ) and $$q\equiv 7\pmod 8$$ q ≡ 7 ( mod 8 ) be two prime numbers. The purpose of this paper is to compute the unit groups of the fields $$\mathbb {L}=\mathbb {Q}(\sqrt{2}, \sqrt{p}, \sqrt{q})$$ L = Q ( 2 , p , q ) and give their 2-class numbers.