대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제45권2호
  • /
  • Pages.273-275
  • /
  • 2008
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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AN ELEMENTARY PROOF IN THE THEORY OF QUADRATIC RESIDUES

  • 발행 : 2008.05.31
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초록

We will give a short and elementary proof of the existence of infinitely many primes p such that a given positive integer a congruent 3 modulo 4 is a quadratic non-residue modulo p.

키워드

참고문헌

  1. M. Ram Murty and N. Thain, Primes in certain arithmetic progressions, Preprint 2007
  2. W. Schwarz, Einfuhrung in Methoden und Ergebnisse der Primzahltheorie, Bibliographisches Institut, Mannheim-Vienna-Zurich, 1969
  3. J.-P. Serre, A Course in Arithmetic, Translated from the French. Graduate Texts in Mathematics, No. 7. Springer-Verlag, New York-Heidelberg, 1973

피인용 문헌

  1. ON THE dTH POWER RESIDUE SYMBOL OF FUNCTION FIELDS vol.46, pp.6, 2009, https://doi.org/10.4134/BKMS.2009.46.6.1151