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arxiv: 1411.0952 · v1 · pith:U2RSCHOKnew · submitted 2014-11-04 · 🧮 math.NT

Rationality of secant zeta values

classification 🧮 math.NT
keywords secantvalueszetaalgebraicarakawa-berndtconcerningconjectureeta-functions
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We use the Arakawa-Berndt theory of generalized eta-functions to prove a conjecture of Lal\`in, Rodrigue and Rogers concerning the algebraic nature of special values of the secant zeta functions.

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