Cetin Hakimoglu-Brown

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math.CA2026

Functional Dilogarithm Identities in Quadratic Fields

Cetin Hakimoglu-Brown

We derive three- and six-term functional dilogarithm identities whose arguments lie in $Q (u, 4 - 3 u^{2})$ and $Q (u, u (4 - 3 u))$ . Our approach is based on an…

math.CA2026

On a $_{2} F_{1} (\frac{1}{4})$ -identity due to Gosper

Cetin Hakimoglu-Brown

It is only in exceptional cases that a $_{2} F_{1} (z)$ -series with rational parameters and a rational argument, apart from the cases for $z \in {\pm 1, \frac{1}{2}}$ associated with…

Functional Dilogarithm Identities in Quadratic Fields

On a 2​F1​(41​)-identity due to Gosper

On a $_{2} F_{1} (\frac{1}{4})$ -identity due to Gosper