Mathematics Tripos Papers

  • Part IA
  • Part IB
  • Part II
  • FAQ

Paper 1, Section I, I

Number Theory | Part II, 2013

State and prove Gauss's Lemma for the Legendre symbol (ap)\left(\frac{a}{p}\right)(pa​). For which odd primes ppp is 2 a quadratic residue modulo p?p ?p? Justify your answer.

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