6 papers
Bifurcating Continued Fractions II
Ashok Kumar Mittal, Ashok Kumar Gupta
In an earlier paper we introduced the notion of 'bifurcating continued fractions' in a heuristic manner. In this paper a formal theory is developed for the 'bifurcating continued f…
Bifurcating Continued Fractions
Ashok Kumar Gupta, Ashok Kumar Mittal
The notion of 'bifurcating continued fractions' is introduced. Two coupled sequences of non-negative integers are obtained from an ordered pair of positive real numbers in a manner…
Roots of any Polynomial with Complex Integer Coefficients using Replacement Sequences, Ruler and Compass
Ashok Kumar Mittal, Ashok Kumar Gupta
The roots of any polynomial of degree m with complex integer coefficients can be computed by manipulation of sequences made from distinct symbols and counting the different symbols…
Symbolic computation of the roots of any polynomial with integer coefficients
Ashok Kumar Mittal, Ashok Kumar Gupta
The roots of any polynomial of degree m with integer coefficients, can be computed by manipulation of sequences made from 2m distinct symbols and counting the different symbols in…
Integer Sequences associated with Integer Monic Polynomial
Ashok Kumar Gupta, Ashok Kumar Mittal
To every integer monic polynomial of degree m can be associated m integer sequences having interesting properties to the roots of the polynomial. These sequences can be used to fin…
A counting method for finding rational approximates to arbitrary order roots of integers
Ashok Kumar Gupta, Ashok Kumar Mittal
It is shown that for finding rational approximates to m'th root of any integer to any accuracy one only needs the ability to count and to distinguish between m different classes of…