Finally it has been investigated solvability of the Pell equation q 2 py 2x − = m for the primes p and q.
📌 3 Key Takeaways
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Objective & Hypothesis:It has been obtained a theorem so that the class number to be one of the real quadratic field the type of which the wide Richauct Degert for the p and q primes satisfying 2 2 p = (2q −1) − , ( q ≡/ 3(mod4 ).
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Key Findings & Data:It has been obtained a theorem so that the class number to be one of the real quadratic field the type of which the wide Richauct Degert for the p and q primes satisfying 2 2 p = (2q −1) − , ( q ≡/ 3(mod4 ).
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Conclusion & Impact:Finally it has been investigated solvability of the Pell equation q 2 py 2x − = m for the primes p and q.
🔬Design:Makale
📍Scope:Comprehensive Sample
⚙️Variables:Sınıf Sayısı · Pell Denklemi · Esas Form Zincirleri
Abstract
It has been obtained a theorem so that the class number to be one of the real quadratic field the type of which the wide Richauct Degert for the p and q primes satisfying 2 2 p = (2q −1) − , ( q ≡/ 3(mod4 ). Finally it has been investigated solvability of the Pell equation q 2 py 2x − = m for the primes p and q.
Özet
p ve q , 2 2 p = (2q −1) − , ( q ≡/ 3(mod4) ) sağlayan asallar olmak üzere, bu p ve q değerine karşılık gelen geniş (wide) Richaut Degert tipinden reel kuadratik sayı cisminin sınıf sayısının 1 olması için bir teorem elde edilmiş ve bunun sonucunda aynı p ve q değerleri için q 2 py 2x − = m Pell Denkleminin çözülebilirliği irdelenmiştir.
Pekin, A. (2016). THE CLASS NUMBER OF THE REAL QUADRATIC FIELD Q(?p) AND THE SOLVABILITY OF THE PELL EQUATION x² py² = ±q FOR THE PRIME p = (2q-1)² - 2. Trakya Üniversitesi Fen Bilimleri Dergisi, Cilt: 6 Sayı: 1. https://ajindex.com/articles/1328708