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61.2 The number of quadratic residues mod m

Published online by Cambridge University Press:  22 September 2016

E. J. F. Primrose
E. J. F. Primrose*
Affiliation:
Department of Mathematics, The University, Leicester LE1 7RH
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1. It is well known that if p is a prime number not equal to 2, then exactly half the non-zero residues of p are quadratic residues (that is, squares in the arithmetic mod p). What happens if the modulus m is not prime? We can look at this problem in two ways: we can insist that our residues are relatively prime to m, or we can consider all the residues.

Type
Notes
Information
The Mathematical Gazette , Volume 61 , Issue 415 , March 1977 , pp. 60 - 61
Copyright
Copyright © Mathematical Association 1977

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References

1. Schering, E., Acta math., Stockh. 1, 153–170 (1882).CrossRefGoogle Scholar