Throughout this paper e denotes an integer ⩾ 3 and p a prime $\equiv 1 (\mod e)$. With f defined by p = ef + 1 and for integers r and s satisfying $1 \leqslant s < r \leqslant e - 1$, certain binomial ...

Investopedia contributors come from a range of backgrounds, and over 25 years there have been thousands of expert writers and editors who have contributed. David Kindness is a Certified Public ...

We re-visit the asymptotics of a binomial and a Poisson sum which arose as (average) displacement costs when moving randomly placed sensors to anchor positions. The first-order asymptotics of these ...

Creative telescoping is an algorithmic technique central to computer algebra, employed for deriving recurrence relations and differential equations that characterise definite sums and integrals. By ...