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On the solvability of x2= b(mod m)

 

作者: Tommy Dreyfus,   Theodore Eisenberg,  

 

期刊: International Journal of Mathematical Education in Science and Technology  （Taylor Available online 1983）
卷期: Volume 14, issue 4  

页码: 415-421

 

ISSN:0020-739X

 

年代: 1983

 

DOI:10.1080/0020739830140404

 

出版商: Taylor & Francis Group

 

数据来源: Taylor

 

摘要:

Euler's criterion is the usual procedure used for assessing the solvability of the equation x2= b(mod m). This criterion is applicable only when b and m are relatively prime and must be applied to each b (0≤ b < m). Described in this paper is an alternative criterion which characterizes and counts, for a general modulus m, all numbers b for which x2= b(mod m) is solvable.

 

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