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27 Şubat 2014, 12:00 
Düzce Üniversitesi Matematik Bölümü SeminerleriOn The Integer Solutions of Diophantine Equation Arzu Özkoç
Let t $\geq 2$ be an integer. In this work, we consider the integer solutions of Diophantine equation $D:x^2-(t^2-t) y^2-(4t-2)x+(4t^2-4t)y=0$ over integers and also over finite fields $Fp$ for primes $p \geq 5$. Also we will formulate the $n$−th solution $(xn,yn)$ of $D$ by means of simple continued fraction expansion. Further we derive some recurrence relations on the integer solutions of $D$.
Sayılar Teorisi İngilizce Fen-Edebiyat Fakültesi- Dekanlık Binası - Derslik 3 admin 20.03.2020 |
