Derek Orr

activity

20162022

most citedGeneralized Log-sine integrals and Bell polynomials

11 citations · 24 across the 6 of their papers we have counts for

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math.NT2022

Elementary proofs of Zagier's formula for multiple zeta values and its odd variant

Li Lai, Cezar Lupu, Derek Orr

In this paper, we give elementary proofs of Zagier's formula for multiple zeta values involving Hoffman element and its odd variant due to Murakami. Zagier's formula was a key ingr…

math.NT2017★ 11 cited

Generalized Log-sine integrals and Bell polynomials

Derek Orr

In this paper, we investigate the integral of $x^{n} lo g^{m} (sin (x))$ for natural numbers $m$ and $n$ . In doing so, we recover some well-known results and remark on some relations to…

math.NT2016★ 9 cited

Generalized rational zeta series for $ζ (2 n)$ and $ζ (2 n + 1)$

Derek Orr

In this paper, we find rational zeta series with $ζ (2 n)$ in terms of $ζ (2 k + 1)$ and $β (2 k)$ , the Dirichlet beta function. We then develop a certain family of generalized rational ze…

Elementary proofs of Zagier's formula for multiple zeta values and its odd variant

Generalized Log-sine integrals and Bell polynomials

Generalized rational zeta series for ζ(2n) and ζ(2n+1)

Generalized rational zeta series for $ζ (2 n)$ and $ζ (2 n + 1)$