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作者:Chaochao Sun , Kejian Xu
来源:[J].Journal of Number Theory(IF 0.466), 2017, Vol.171, pp.252-274Elsevier
摘要:Abstract(#br)The relations between the tame kernels and second regulators of a number field F Galois over Q , in particular the fields of degree 8 over Q , and of some of its subfields are investigated through the action of the Galois groups on the tame kernels. In the case of th...
作者:Chaochao Sun , Kejian Xu
来源:[J].Journal of Number Theory(IF 0.466), 2017, Vol.171, pp.252-274Elsevier
摘要:Abstract(#br)The relations between the tame kernels and second regulators of a number field F Galois over Q , in particular the fields of degree 8 over Q , and of some of its subfields are investigated through the action of the Galois groups on the tame kernels. In the case of th...
作者:Long Zhang , Kejian Xu
来源:[J].Journal of Number Theory(IF 0.466), 2019, Vol.201, pp.377-397Elsevier
摘要:Abstract(#br)In this paper, a general architecture has been established for the computation of K 2 O F , the tame kernel of F , for imaginary cyclic quartic field F = Q ( − ( D + B D ) ) with class number one, in particular with large discriminants. As a result, it is proved...
作者:Chaochao Sun , Kejian Xu
来源:[J].Journal of Number Theory(IF 0.466), 2016, Vol.158, pp.244-267Elsevier
摘要:Abstract(#br)In this paper, the relations between p -ranks of the tame kernel and the ideal class group for a general number field are investigated. As a result, nearly all of Browkin's results about quadratic fields are generalized to those for general number fields. In par...
作者:Chaochao Sun , Kejian Xu
来源:[J].Journal of Number Theory(IF 0.466), 2016, Vol.158, pp.244-267Elsevier
摘要:Abstract(#br)In this paper, the relations between p -ranks of the tame kernel and the ideal class group for a general number field are investigated. As a result, nearly all of Browkin's results about quadratic fields are generalized to those for general number fields. In par...
作者:Ming Ming Su , Geoffrey Wall , Kejian Xu
来源:[J].Environmental Management(IF 1.647), 2016, Vol.57 (5), pp.1024-1040Springer
摘要:Abstract(#br)Although tourism has the potential to improve the wellbeing of residents, it may also disrupt livelihood systems, social processes, and cultural traditions. The livelihood changes at three rural villages at Mount Sanqingshan World Heritage Site, China, are assessed t...
作者:Kejian Xu , Tongsen Sun
来源:[J].Journal of Systems Science and Complexity(IF 0.263), 2012, Vol.25 (5), pp.1014-1031Springer
摘要:Abstract(#br)For a class of generalized Feistel block ciphers, an explicit formula for the minimum numbers of linearly active S -boxes of any round r is presented.
作者:Jerzy Browkin , KeJian Xu
来源:[J].Science China Mathematics(IF 0.497), 2012, Vol.55 (10), pp.2081-2093Springer
摘要:Abstract(#br)A finite group G is called exceptional if for a Galois extension F/k of number fields with the Galois group G , in the Brauer-Kuroda relation of the Dedekind zeta functions of fields between k and F , the zeta function of F does not appear. In the present paper we de...
作者:Kejian Xu , Hourong Qin
来源:[J].Communications in Algebra(IF 0.356), 2002, Vol.30 (1), pp.353-367Taylor & Francis
摘要:ABSTRACT(#br)Through determining all the solutions of and ...
作者:Kejian Xu , Yongliang Wang
来源:[J].Journal of Number Theory(IF 0.466), 2007, Vol.128 (3), pp.468-474Elsevier
摘要:Abstract(#br)Using Faltings' theorem on the Mordell conjecture, we prove that for any prime p ⩾ 5 and integer n ⩾ 2 , the cyclotomic symbols { a , Φ n ( a ) } do not form a subgroup of K 2 ( Q ) . This partially confirms a conjecture of Browkin.

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