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AN ELEMENTARY PROOF IN THE THEORY OF QUADRATIC RESIDUES
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 Title & Authors
AN ELEMENTARY PROOF IN THE THEORY OF QUADRATIC RESIDUES
Kohnen, Winfried;
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 Abstract
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.
 Keywords
prime;quadratic residue;
 Language
English
 Cited by
1.
ON THE dTH POWER RESIDUE SYMBOL OF FUNCTION FIELDS,;

대한수학회보, 2009. vol.46. 6, pp.1151-1152 crossref(new window)
1.
ON THE dTH POWER RESIDUE SYMBOL OF FUNCTION FIELDS, Bulletin of the Korean Mathematical Society, 2009, 46, 6, 1151  crossref(new windwow)
 References
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