FIBONACCI, LUCAS AND PELL NUMBERS AND CLASS NUMBERS OF BICYCLIC BIQUADRATIC FIELDS

摘要

Using the properties of Fibonacci and Lucas numbers, we shall show that the diophantine equation x~2 - 5~3y~4 = -4 has only an integer solution x = 11 and y = 1. And by this result and W. Ljunggren's result on some diophantine equation, we shall give the class number formulae for certain bicyclic biquadratic fields.