Multiple $T$-values and iterated log-tangent integrals

Ryota Umezawa

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arXiv · 2301.06067

Multiple $T$-values and iterated log-tangent integrals

Ryota Umezawa

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Abstract

Multiple $T$-values, a variant of multiple zeta values of level two, were introduced and studied by Kaneko and Tsumura. This paper will introduce iterated log-tangent integrals and discuss their relations with multiple $T$-values. We will use ideas from the author's previous work on multiple zeta values and iterated log-sine integrals to do so.

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Ryota Umezawa. 2023-01-15. Multiple $T$-values and iterated log-tangent integrals. https://arxiv.org/abs/2301.06067

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