Continued Fractions of Different Quotients
Roselin Antony
Citation :Roselin Antony, Continued Fractions of Different Quotients International Journal of Scientific and Innovative Mathematical Research 2017,5(11) : 20-31
The use of continued fractions as an important tool in number theory began with 17th century results of Schwenter, Huygens and Wallis and came to maturity with the work of Euler in 1737 and the subsequent use of continued fractions as a number theoretic tool by Lagrange, Legendre, Gauss, Galois and their successors. In this paper, we will find the continued fraction representation of quotients of different powers of consecutive numbers between 2 and 10.