SOME RESULTS ON SEVERAL NUMBERICAL P+53 SETS
Öz
Diophantine set theory has an importence role in Mathematics.In this paper,we consider prime number p=+53 and give some Diophantine P+53 triples. Some of the such sets are extended but others not. We give several of them with proofs. Also, some types of elements of the Diophantine P+53 m-tubles are determined. One can be work on other Diophantine P+53 - m tubles and discover extendibility of them.
Anahtar Kelimeler
Diophantine Ps 3-Tuple, Number Theory, Elements of Diophantine Ps m-tuples
Destekleyen Kurum
Kırklareli Üniversitesi
Proje Numarası
KLUBAP-213
Teşekkür
First of all we would like to thank Assoc. Prof. Dr. Özen Özer for her gentle guidance and strong support.
We also would like to thank Kırklareli University for support the project KLUBAP-213.
Kaynakça
- 1. Cohen H. (2007). Number Theory vol.1. Tools and diophantine equations, Springer.
- 2. Dudek A.W. (2016). On The number of divisors of n2 -1 ,Bull. Aust. Math. Soc. 93 194-198.
- 3. Dujella A. (2002). On the size Diophantine m-tubles, Math. Proc. Cambridge Philos Soc.132,23-33
- 4. Dujella A. (2016). What is a Diophantine m-tuple?, Notices Amer. Math. Soc.63 , 772-774.
- 5. Dujella A., Petricevic, V. (2019). On the largest element in D(n)- quadruples, Indag. Math. (N.S.) 30 1079-1086.
- 6. Earp-Lynch S. (2019). Diophantine Triples and Linear Forms in Logarithms, Master Thesis, Brock University.
- 7. Filipin, A. and Jurasic A. (2016). On the size of diophantine m-tubles for linear polynomials, Miskolc Math.Notes 17, 861-876
- 8. Gopalan M.A., Vidhyalaksfmi S., Özer Ö., (2018). A Collection of Pellian Equation ( Solutions and Properties) , Akinik Publications, New Delh, INDIA.
- 9. Gopalan M.A., Thangam S.A., Özer Ö., (2020) On The Quinary Homogeneous Bi-Quadratic Equation, Journal of Fundamental and Applied Sciences (JFAS), 2020, 12(2), 516-524.
- 10. Izadi F., Khoshnam F. (2014). On ellipticcurves via Heron Triangles and Diophantine triples, J.Math.Ext.8 17-26