4 citations · 5 across the 6 of their papers we have counts for
7 papers
The method of telescoping continued fractions
Gaurav Bhatnagar, Krishnan Rajkumar
We give an approach to discover continued fractions for series of the form where . We find a continued fraction of the form \be…
Telescoping continued fractions for the error term in Stirling's formula
Gaurav Bhatnagar, Krishnan Rajkumar
In this paper, we introduce telescoping continued fractions to find lower bounds for the error term in Stirling's approximation $\displaystyle n! = \sqrt{2π}n^{n+1/2}e^{-n}e^…
Fixed Divisor of a Multivariate Polynomial and Generalized Factorials in Several Variables
Devendra Prasad, Krishnan Rajkumar, A. Satyanarayana Reddy
We define new generalized factorials in several variables over an arbitrary subset where is a Dedekind domain and is a positive integer. We t…
A Survey on Fixed Divisors
Devendra Prasad, Krishnan Rajkumar, A. Satyanarayana Reddy
In this article, we compile the work done by various mathematicians on the topic of the fixed divisor of a polynomial. This article explains most of the results concisely and is in…
A simplification of Apéry's proof of the irrationality of ζ(3)
Krishnan Rajkumar
A simplification of Apéry's proof of the irrationality of ζ(3) is presented. The construction of approximations is motivated from the viewpoint of 2-dimensional recurrence relation…
On the zeros of the Epstein zeta function
Anirban Mukhopadhyay, Krishnan Rajkumar, Kotyada Srinivas
In this article, we count the number of consecutive zeros of the Epstein zeta-function, associated to a certain quadratic form, on the critical line with ordinates lying in $[0,T],…