Congruent Number
المؤلف:
Koblitz, N
المصدر:
Introduction to Elliptic Curves and Modular Forms. New York: Springer-Verlag, 1993.
الجزء والصفحة:
...
18-5-2020
1078
Congruent Number
A congruent number can be defined as an integer that is equal to the area of a rational right triangle (Koblitz 1993).
Numbers 
such that
![<span style=]() {x^2+ay^2=z^2; x^2-ay^2=t^2 " src="https://mathworld.wolfram.com/images/equations/CongruentNumber/NumberedEquation1.gif" style="height:44px; width:89px" /> |
(1)
|
are also known as congruent numbers. They are a generalization of the congruum problem, which is the case 
.
For example, 
, the smallest congruent numbers are
REFERENCES:
Guy, R. K. "Congruent Number." §D76 in Unsolved Problems in Number Theory, 2nd ed. New York: Springer-Verlag, pp. 195-197, 1994.
Koblitz, N. Introduction to Elliptic Curves and Modular Forms. New York: Springer-Verlag, 1993.
الاكثر قراءة في نظرية الاعداد
اخر الاخبار
اخبار العتبة العباسية المقدسة
