79 citations · 125 across the 14 of their papers we have counts for
5 papers · 1 filter
Counterexamples to the conjectured transcendence of , its closed-form summation and extensions to polygamma functions and zeta series
F. M. S. Lima
In a recent work, Gun and co-workers have proposed that is a transcendental number for all integer , , and $\,α\in \mathbb{Q…
An Euler-type formula for and closed-form expressions for a class of zeta series
F. M. S. Lima
In a recent work, Dancs and He found an Euler-type formula for , being a positive integer, which contains a series they could not reduce to a finite closed-f…
Approximate expressions for mathematical constants from PSLQ algorithm: a simple approach and a case study
F. M. S. Lima
In this note, I present a simple PSLQ code for finding null linear combinations, with the best rational coefficients, of mathematical constants, within some prescribed precision. A…
A shortcut for evaluating some log integrals from products and limits
F. M. S. Lima
In this short paper, I introduce an elementary method for exactly evaluating the definite integrals , , $\int_0^{π/2}…
On the possible exceptions for the transcendence of the log-gamma function at rational entries
F. M. S. Lima
In a recent work [JNT \textbf{129}, 2154 (2009)], Gun and co-workers have claimed that the number , being a rational number between and ,…