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Rationality of secant zeta values

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Abstract

We use the theory of generalized \(\eta \)-functions to prove a conjecture of Lalín, Rodrigue and Rogers concerning the algebraic nature of special values of the secant zeta function.

Résumé

Nous utilisons la théorie des fonctions \(\eta \) généralisées pour prouver une conjecture de Lalín, Rodrigue et Rogers concernant la nature algébrique de valeurs spéciales de la fonction zeta sécante.

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Authors and Affiliations

  1. Institut de mathématiques de Jussieu, Université Paris 6, 4 Place Jussieu, 75005 , Paris, France

    Pierre Charollois

  2. Department of Mathematics and Statistics, University of Calgary, 2500 University Drive NW, Calgary, AB , T2N 1N4, Canada

    Matthew Greenberg

Authors
  1. Pierre Charollois
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  2. Matthew Greenberg
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Corresponding author

Correspondence to Pierre Charollois.

Additional information

PC’s research is partially supported by the grant RÉGULATEURS “ANR-12-BS01-0002”. MG’s research is supported by NSERC of Canada.

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Charollois, P., Greenberg, M. Rationality of secant zeta values. Ann. Math. Québec 38, 1–6 (2014). https://doi.org/10.1007/s40316-014-0017-z

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  • DOI: https://doi.org/10.1007/s40316-014-0017-z

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