William D. Banks

2 citations · 3 across the 3 of their papers we have counts for

collaborators

3 papers

math.NT2005

Uniform Distribution of Fractional Parts Related to Pseudoprimes

William D. Banks, Moubariz Z. Garaev, Florian Luca +1

We estimate exponential sums with the Fermat-like quotients $$ f_g(n) = \frac{g^{n-1} - 1}{n} \mand h_g(n)=\frac{g^{n-1}-1}{P(n)}, $$ where $g$ and $n$ are positive integers, $n$ i…

math.NT2004★ 2 cited

Noncototients and Nonaliquots

William D. Banks, Florian Luca

Let $ϕ (\cdot)$ and $σ (\cdot)$ denote the Euler function and the sum of divisors function, respectively. In this paper, we give a lower bound for the number of positive integers $m\…

math.NT2004★ 1 cited

Almost all palindromes are composite

William D. Banks, Derrick N. Hart, Mayumi Sakata

We study the distribution of palindromic numbers (with respect to a fixed base $g \geq 2$ ) over certain congruence classes, and we derive a nontrivial upper bound for the number of p…