On the period of the continued fraction for values of the square root of power sums
On the quartic character of quadratic units.
On the resolution of index form equations in dihedral quartic number fields.
On the set of numbers {14, 22, 30, 42, 90}
On the sumset of the primes and a linear recurrence
Romanoff (1934) showed that integers that are the sum of a prime and a power of 2 have positive lower asymptotic density in the positive integers. We adapt his method by showing more generally the existence of a positive lower asymptotic density for integers that are the sum of a prime and a term of a given nonconstant nondegenerate integral linear recurrence with separable characteristic polynomial.
On the zeros of linear recurrence sequences
On two classes of polynomials in number-theory
On two theorems of Gelfond and some of their applications
On variants of Conway and Conolly's meta-Fibonacci recursions.
One pile Nim with arbitrary move function.
Optimal bounds for the length of rational Collatz cycles