J. C. Saunders

collaborators

3 papers

math.NT2020

Density of sequences of the form $x_{n} = f (n)^{n}$ in [0,1]

J. C. Saunders

In 2013, Strauch asked how various sequences of real numbers defined from trigonometric functions such as $x_{n} = (cos n)^{n}$ distributed themselves $(mod 1)$ . Strauch's inquiry is mot…

math.NT2019

Generalised Fibonacci sequences constructed from balancing words

Kevin Hare, J. C. Saunders

We study growth rates of generalised Fibonacci sequences of a particular structure. These sequences are constructed from choosing two real numbers for the first two terms and alway…

math.NT2019

Diophantine Equations Involving the Euler Totient Function

J. C. Saunders

We deal with various Diophantine equations involving the Euler totient function and various sequences of numbers, including factorials, powers, and Fibonacci sequences.

Density of sequences of the form xn​=f(n)n in [0,1]

Generalised Fibonacci sequences constructed from balancing words

Diophantine Equations Involving the Euler Totient Function

Density of sequences of the form $x_{n} = f (n)^{n}$ in [0,1]