L. Fairbanks

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20222025

most citedNotes On An Approach To Apery's Constant

1 citations · 1 across the 3 of their papers we have counts for

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math.GM2025

Sums of Powers of Sine and Generalized Bernoulli Polynomials

Leon D. Fairbanks

We produce formulas for $j = 1 \sum 2^{n - 2} \frac{1}{sin ^{s} ( \frac{( 2 j - 1 ) π}{2 ^{n}} )}$ in terms of Generalized Bernoulli and Euler polynomials and use one of the formulas…

math.GM2023

Powers of Cosine and Sine

Leon D. Fairbanks

This paper presents expressions for sums of powers of sine and cosine in terms of the basis for the field extension obtained by adjoining the sine or cosine to the field of rationa…