3 papers
math.HO2018
Some Continued Fractions for AND
Amrik Singh Nimbran, Paul Levrie
We present here two classes of infinite series and the associated continued fractions involving and Catalan's constant based on the work of Euler and Ramanujan. A few sundr…
math.NT2018
Asymptotic evaluation of Euler-phi sums of various residue classes
Amrik Singh Nimbran
This note contains some asymptotic formulas for the sums of various residue classes of Euler's phi-function.
math.NT2018
Sums of series involving central binomial coefficients & harmonic numbers
Amrik Singh Nimbran
This paper contains a number of series whose coefficients are products of central binomial coefficients & harmonic numbers. An elegant sum involving and two other nice sums…