If p is a prime other than 2, half of the numbers
1, 2, … p—1
are quadratic residues (mod p) and the other half are quadratic non-residues. Various questions have been proposed concerning the distribution of the quadratic residues and non-residues for large p, but as yet only very incomplete answers to these questions are known. Many of the known results are deductions from the inequality
found independently by Pólya and Vinogradov, the symbol being Legendre's symbol of quadratic character.
Email your librarian or administrator to recommend adding this journal to your organisation's collection.
* Views captured on Cambridge Core between September 2016 - 27th May 2017. This data will be updated every 24 hours.