Dickson polynomials are used to characterize n-th powers in a real quadratic field and in GL(2)(Z). These same polynomials give information on the index of the group of units of a non-maximal order in the group of all units in a real quadratic field. The exposition is detailed and elementary.
机构:
China West Normal Univ, Sch Math & Informat, Nanchong 637009, Peoples R ChinaChina West Normal Univ, Sch Math & Informat, Nanchong 637009, Peoples R China
机构:
Sichuan Univ, Math Coll, Chengdu 610064, Sichuan, Peoples R China
China West Normal Univ, Sch Math & Informat, Nanchong 637009, Peoples R ChinaSichuan Univ, Math Coll, Chengdu 610064, Sichuan, Peoples R China
Cheng, Kaimin
Hong, Shaofang
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Sichuan Univ, Math Coll, Chengdu 610064, Sichuan, Peoples R ChinaSichuan Univ, Math Coll, Chengdu 610064, Sichuan, Peoples R China