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math.GM2000
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…
math.GM2000
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…
math.GM1999
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…