arXiv subjects
Publications and source records attributed to Amrik Singh Nimbran.
The paper examines the structure of the periodic continued fraction for $\sqrt{d}$ and gives formulae for the central term as well as the repeated partial quotients occurring in its period.
This paper contains a number of series whose coefficients are products of central binomial coefficients & harmonic numbers. An elegant sum involving $ζ(2)$ and two other nice sums appear in the last section.
We present here two classes of infinite series and the associated continued fractions involving $π$ and Catalan's constant $G$ based on the work of Euler and Ramanujan. A few sundry continued fractions are also given.
This note contains some asymptotic formulas for the sums of various residue classes of Euler's phi-function.