Gregory P. Dresden

activity

20092022

most citedA New Approach to Rational Values of Trigonometric Functions

1 citations · 1 across the 4 of their papers we have counts for

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math.NT2022

Chebyshev Polynomials, Sliding Columns, and the $k$ -step Fibonacci Numbers

Greg Dresden

We give a direct and intuitive proof (via sliding some columns up and down) of the following interesting fact: if we write out the Chebyshev polynomials in a chart and take the sum…

math.NT2019

On the Middle Coefficient of a Cyclotomic Polynomial

Gregory Dresden

In this article, we provide a short and elementary proof of the following result: For $n \geq 3$ the middle coefficient of $Φ_{n} (x)$ is either zero (when $n$ is a power of $2$ ) or a…

math.NT2019

Two Irrational Numbers That Give the Last Non-Zero Digits of $n!$ and $n^{n}$

Gregory Dresden

If we form a decimal where the nth digit is the last non-zero digit of $n!$ (likewise, the last non-zero digit of $n^{n}$ ), we obtain an irrational number

Chebyshev Polynomials, Sliding Columns, and the k-step Fibonacci Numbers

On the Middle Coefficient of a Cyclotomic Polynomial

Two Irrational Numbers That Give the Last Non-Zero Digits of n! and nn

Chebyshev Polynomials, Sliding Columns, and the $k$ -step Fibonacci Numbers

Two Irrational Numbers That Give the Last Non-Zero Digits of $n!$ and $n^{n}$