논문KCI 등재
An elementary proof in the theory of quadratic residues
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초록
We will give a short and elementary proof the existence ofinnitely many primes p such that a given positive integer a congruent 3 modulo 4 is a quadratic non-residue modulo p.
Abstract
We will give a short and elementary proof the existence ofinnitely many primes p such that a given positive integer a congruent 3 modulo 4 is a quadratic non-residue modulo p.
참고문헌 (3)
- M. Ram Murty, "Primes in certain arithmetic progressions", ~ (2007)
- W. Schwarz, "Einf¨uhrung in Methoden und Ergebnisse der Primzahltheorie", ~ (1969)
- J.-P. Serre, "A Course in Arithmetic, Translated from the French" (1973), Springer-Verlag
관련 논문AI추천
On the additive structure of the set of quadratic residues modulo pG. Soydan, I. Cang？l, M. Demirci, N. Y. Ikikardes장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제14권 제2호A note on the least nonresidue modulo prime p≡7 (mod 8)CH. SRIKANTH, SHIVARAJKUMAR장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2022 · 제25권 제3호Sufficient condition for non-congruent $pq$ and $2pq$ with primes $p$ and $q$ in the form of $8k+1$Shamik Das대한수학회 · 대한수학회보2025 · 제62권 제3호On some congruences for primalityJozsef Sandor장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제16권 제2호A note on ternary cyclotomic polynomialsBin Zhang대한수학회 · 대한수학회보2014 · 제51권 제4호Representation of a positive integer by a sum of large four squares김병문강원경기수학회 · 한국수학논문집2016 · 제24권 제1호
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